Post on 11-Sep-2020
w'fmd'i'(W'fm<) úNd.h - 2016
we.hSï jdr®;dj
67 - ;dCIKfõoh i|yd úoHdj
CurriculumAssessment
&Evaluation
Teaching LearningN E T S
mr®fhaIK yd ixjr®Ok YdLdjcd;sl we.hSï yd m¯ÈK fiajdj"Y%S ,xld úNd. fomdr®;fïka;=j'
- ii - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
ishÆ u ysñlï weú˙◊'
;dCIKfõoh i|yd úoHdj
we.hSï jdr®;dj - w'fmd'i' ^W'fm<& úNd.h - 2016
uQ,H wkq.%yh
wOHdmk wdxYsl ixjr®Ok jevigyk (ESDP) u.sks'
- iii - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
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wOHhkfmd≥iy;slm;%Wiiafm<úNd.h"Y%S,xldfõfcHIaGoaú;shslwOHdmkfhawjidkiy;sllrK úNd.hhs' fcHIaG oaú;shsl wOHdmkh wjidkfha isiqkaf.a idOk uÜgu iy;slls¯ufuuúNd.fham%OdkwruqKjqjocd;slúYajúoHd,j,g"fjk;aWiiawOHdmkydjD;a;ShmqyqKqwdh;kj,gfukaucd;slwOHdmkúoHdmSGj,giq≥iaikaf;dard.ekSuofuuúNd.fham%;sM,u;is≥flfrkneúkaidOkm¯CIKhlajYfhkafukauf;a¯fïm¯CIKhlajYfhkao w'fmd'i'^W'fm<&úNd.h"b;djeo.;a;;a;ajhlaWiq,hs'tfukau;D;ShsluÜgfï/lshdi|ydom%fõYiq≥iqlïiy;slflfrkúNd.hlajYfhkafuhms<s.efka'fuuúNd.hi|ydmej;sfN!;slúoHd"ffcjúoHd"jd◊cydl,dhkúIhOdrdy;rgwu;rj2013jifr®°;dCIKfõohúIhOdrdjy∫kajdfokq,enQw;r"tuúIhOdrdfõtlaúIhhlajk;dCIKfõohi|ydúoHdj2016 jifr®°úIhg20091lamdi,awh≥ïlrefjdao1407lafm!oa.,slwh≥ïlrefjdaofmkSisáhy' fuuúNd.fhkaWiiaidOkuÜgula,nd.ekSui|ydisiqyqoTjqkaf.atuwfmalaIdimqrd,Sui|yd.=rejreydfouõmsfhdao±äfjfyilaor;s'fuuwe.hSïjdr®;djilialrwe;af;aTjqkaf.atu wfmalaId bgqlr.ekSu ms◊i Á ,xld úNd. fomdr®;fïka;=fõ iydh °ula jYfhks' fuuwe.hSïjdr®;dfõwe;=<;af;dr;=reúNd.wfmalaIlhskag".=reNj;=kag"ú≥y,am;sjrekag".=reWmfoaYluy;auuy;aókag"úIhNdrwOHlaIjrekag"fo.=rekagydwOHdmkmr®fhaIlhskagtlfiam%fhdackj;ajkqfkdwkqudkh'tneúkafuujdr®;djjeäms˙ilf.am˙YS,khi|ydfhduqls¯ujvd;aiq≥iqfõ' fuuwe.hSïjdr®;dj"I, IIydIII hkqfjkafldgia;=klskaiukaú;fõ' w'fmd'i'^W'fm<&;dCIKfõohi|ydúoHdjúIhfhysúIhidOkhms<sn|f;dr;=refuujdr®;dfõI fldgfiyswvx.=fõ'tahgf;aúIhhi|ydfmkSisáwh≥ïlrejkaixLHdj"TjqkafY%a◊,ndf.kwe;swdldrh"†ia;%slauÜgñkamdi,awh≥ïlrejkafY%a◊,ndf.kwe;swdldrh"mka;sm%dka;rwkqj,l=KqjHdma;shhkúIhidOkhms<sn|ixLHdkuhf;dr;=reo;dCIKfõohi|ydúoHdjúIhfha Iyd II m;%j,m%Yakf;dardf.kwe;swdldrh"tum%Yakj,gydtutlatlam%Yakfhysfldgiaj,g,l=Kq,ndf.kwe;swdldrhiúia;rd;aulj±lafjkúIhidOkhms<sn|úYaf,aIKhlaowka;r®.;fõ'w'fmd'i'^W'fm<&2016 úNd.fha;dCIKfõohi|ydúoHdjúIhfhys I yd II m%Yak m;%j, m%Yak yd tu m%Yakj,g wh≥ïlrejka ms<s;=re iemhSu ms<sn|f;dr;=refuujdr®;dfõ II fldgfiyswvx.=fjhs'tahgf;a I yd II m%Yakm;%j,m%Yaki|ydwfmaCIs;ms<s;=re",l=Kq°fïmámdáh"ms<s;=reiemhSums<sn|ks¯CIK"ks.ukydixjr®Okd;aulfhdackdwka;r®.;fõ' Y%S,xldúNd.fomdr®;fïka;=fõmr®fhaIKydixjr®OkYdLdju.skaW;a;rm;%we.hSfïksr; jQ m%Odk" w;sfr®l m%Odkyd iyldr m¯CIljreka úiska b†˙m;a lrkq ,nkf;dr;=re"ks¯CIK"woyiaydfhdackdoiïNdjHm¯CIKkHdh(Classical Test Theory) ydwhs;um%;spdrkHdh (Item Response Theory) fhd∞.ksñkawh≥ïlrejkaf.am%;spdrúYaf,aIKhu.ska,nd.;af;dr;=reofuuwe.hSïjdr®;djilials¯ui|ydmokïlrf.kwe;' m%Yak m;%j, tla tla m%Yakhg ms<s;=re iemhSfï ° wfmaCIlhka ie,ls,su;a úh hq;=lreKqobf.kqïb.ekaùïldr®hhms<sn|woyiaydfhdackdofuujdr®;dfjysIIIfldgfiyswe;=<;alrwe;'úúOksmqK;dydtuksmqK;duÜgïj,g<Ûdùui|ydbf.kqïydb.ekaùïls%hdj,shixúOdkhlr.;hq;=wdldrhms<sn|jfuhskauy;amsájy,la,efnkqwe;ehsis;ñ' b†˙fha ° iïmdokhlrkq ,nk we.hSï jdr®;dj, .=Kd;aul jr®Okhla we;s ls¯u i|ydM,∞hSwoyiaydfhdackdwmfj;fhduqlrkf,ildre◊ljb,a,ñ' fuujdr®;djieliSui|ydwjYHf;dr;=reiemhQm%Odk"w;sfr®lm%Odkm¯CIljrekagydiyldrm¯CIljrekag;a"Wkka≥fjkaydil%Shj∞hljQieliqïlñgqidud‚lhskag;a"j.lSfukalghq;=l<Y%S,xldúNd.fomdr®;fïka;=fõks,Od¯kagydfuuldr®hi|yduQ,Hwkq.%yh±lajQwOHdmkwdxYslixjr®Okjevigyk(ESDP)fj;;aaudf.ayDohdx.uia;+;shm<lrñ'
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mr®fhaIKydixjr®OkYdLdj YS%,xldúNd.fomdr®;fïka;=j me,j;a;"n;a;ruq,a,'
- iv - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
WmfoaYl;ajh ( î'ik;amQQ‚; úNd.flduid˙iackrd,a
fufyhùu yd ixúOdkh ( .hd;s%wfí.=Kfialr úNd.flduid˙ia^mr®fhaIK$ixjr®Okydwe.hSï&
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t,a'„'tia'iurfldaka iyldrúNd.flduid˙ia
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ieliqï lñgqj ( úrd–lreKdr;ak Y%S,xld.=refiajh wdkkaoúoHd,h"fld<U10 jre◊wmairdúf–r;ak Y%S,xld.=refiajh nm$.ï$nKavdrkdhluOHúoHd,h"fõhkaf.dv °msldOr®uis˙ Y%S,xld.=refiajh tia'ví,sõ'wdr®'ã'nKavdrkdhlcd;slmdi,"fyÜáfmd, mS',CIsldl,amkSm;srK Y%S,xld.=refiajh lE$foys$wdpdr®hweka'tï'fmfr®rduOHuydúoHd,h" háhkaf;dg B'uOQIdyxikSl=,r;ak Y%S,xld.=refiajh r$iSj,SuOHúoHd,h"ys±,a,k"r;akmqr tia'fudrgqjf.a Y%S,xld.=refiajh r;akdj,Snd,sldúoHd,h".ïmy W;am,nKavdr" Y%S,xld.=refiajh tia'î'fyar;acd;slmdi,".fkaj;a;"ksloΩfmd;
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msgljrh ieliqu ( jhs'tia'wkqrdê ixjr®Okks,Od˙
- v - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
we;=<; msgq msgqwxlh I fldgi
1.1 úIh idOkh ms<sn| f;dr;=re 1.1.1. úIhhi|ydfmkSisáwh≥ïlrejkaixLHdj 1 1.1.2. wh≥ïlrejkafY%a◊,ndf.kwe;swdldrh 1 1.1.3. m<uqjkj;djgfmkSisámdi,awh≥ïlrejkafY%a◊,ndf.kwe;s wdldrh-†ia;%slalwkqj 2 1.1.4. ,l=Kq,ndf.kwe;swdldrh-mka;sm%dka;rwkqj 3 1.2 úIh idOkh ms<sn| úYaf,aIKh 1.2.1. Im%Yakm;%hi|ydidOkh 4 1.2.2. IIm%YAkm;%fhysm%Yakf;dardf.kwe;swdldrh 5 1.2.3. IIm%Yakm;%fhysm%Yaki|yd,l=Kq,ndf.kwe;swdldrh 5 1.2.4. IIm%YAkm;%hi|ydidOkh 6 II fldgi 2. m%Yak yd ms<s;=re iemhSu ms<sn| f;dr;=re 2.1 I m%Yak m;%h yd ms<s;=re iemhSu ms<sn| f;dr;=re 2.1.1. I m%Yakm;%fhajHQyh 8 2.1.2. I m%Yakm;%h 9 2.1.3. Im%Yakm;%hi|ydwfmaÈs;ms<s;=reyd,l=Kq°fïmámdáh 15 2.1.4. Im%Yakm;%hgms<s;=reiemhSums<sn|ks¯ÈK 16 2.1.5. Im%Yakm;%fhatlatlam%YakfhysjrKf;dardwe;swdldrh- m%;sY;f,i 18 2.1.6. Im%Yakm;%hgms<s;=reiemhSums<sn|ks¯ÈK"ks.ukydfhdackd 19
2.2 II m%Yak m;%h yd ms<s;=re iemhSu ms<sn| f;dr;=re 2.2.1. II m%YAkm;%fhajHQyh 25 2.2.2. II m%Yakm;%hi|ydm%%Yakf;dardwe;swdldrhiym%%Yakj,myiq;dj 26 2.2.3. II m%Yakm;%hi|ydwfmaÈs;ms<s;=re",l=Kq°fïmámdáh" ms<s;=reiemhSums<sn|ks¯laIK"ks.ukydfhdackd 27 2.2.4. II m%Yakm;%hgms<s;=reiemhSums<sn|iuia;ks¯CIK" ks.ukydfhdackd 63 III fldgi
3. ms<s;=re iemhSfï° ie,ls,su;a úh hq;= lreKq yd fhdackd 3.1ms<s;=reiemhSfï°ie,ls,su;aúhhq;=lreKq 64 3.2 bf.kqïydb.ekaùïl%shdj,shms<sn|woyiaydfhdackd 66
- 1 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
I fldgi
1.1. úIh idOkh ms<sn| f;dr;=re 1.1.1. úIhh i|yd fmkS isá wh≥ïlrejka ixLHdj
udOHh mdi,a fm!oa.,sl tl;=j
isxy, 16010 913 16923
fou< 4081 490 4571
bx.%Sis 0 4 4
tl;=j 20091 1407 21498
j.=j 1
1.1.2. wh≥ïlrejka fY%A◊ ,ndf.k we;s wdldrh
fY%a◊hmdi,a wh≥ïlrejka
fm!oa.,sl wh≥ïlrejka tl;=j m%;sY;h
ixLHdj m%;sY;h ixLHdj m%;sY;h
A 110 0.55 4 0.28 114 0.53
B 608 3.03 40 2.84 648 3.01
C 3177 15.81 273 19.40 3450 16.05
S 9931 49.43 622 44.21 10553 49.09
F 6265 31.18 468 33.26 6733 31.32
tl;=j 20091 100.00 1407 100.00 21498 100.00
j.=j 2
- 2 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
1.1.3. m<uqjk j;djg fmkS isá mdi,a wh≥ïlrejka fY%a◊ ,ndf.k we;s wdldrh - †ia;%slal wkqj
†ia;%slalhfmkS isá
ixLHdj
úYsIag iïudk
idur®:Hh (A) ,enQ
wê iïudk idur®:Hh (B) ,enQ
iïudk idur®:Hh (C) ,enQ
idudkH idur®:Hh (S) ,enQ
iu;a (A+B+C+S)
wiu;a (F)
ixL
Hdj
%
ixL
Hdj
%
ixL
Hdj
%
ixL
Hdj
%
ixL
Hdj
%
ixL
Hdj
%
1'fld<U 1427 14 0.98 65 4.56 270 18.92 729 51.09 1078 75.54 349 24.46
2'.ïmy 1226 24 1.96 63 5.14 212 17.29 577 47.06 876 71.45 350 28.55
3'lΩ;r 592 2 0.34 21 3.55 117 19.76 294 49.66 434 73.31 158 26.69
4'uykqjr 1039 1 0.10 25 2.41 115 11.07 539 51.88 680 65.45 359 34.55
5'ud;f,a 458 4 0.87 13 2.84 94 20.52 250 54.59 361 78.82 97 21.18
6'kqjrt<sh 572 3 0.52 5 0.87 77 13.46 288 50.35 373 65.21 199 34.79
7'.d,a, 926 7 0.76 39 4.21 167 18.03 428 46.22 641 69.22 285 30.78
8'ud;r 844 5 0.59 50 5.92 182 21.56 392 46.45 629 74.53 215 25.47
9'yïnkaf;dg 549 4 0.73 24 4.37 88 16.03 290 52.82 406 73.95 143 26.05
10'hdmkh 868 10 1.15 54 6.22 185 21.31 408 47.00 657 75.69 211 24.31
11'ls,sfkdÉÑ 176 0 0.00 13 7.39 22 12.50 82 46.59 117 66.48 59 33.52
12'ukakdru 132 0 0.00 4 3.03 25 18.94 72 54.55 101 76.52 31 23.48
13'jõkshdj 219 1 0.46 3 1.37 25 11.42 114 52.05 143 65.30 76 34.70
14'uq,;sõ 118 0 0.00 3 2.54 13 11.02 43 36.44 59 50.00 59 50.00
15'uvl,mqj 464 4 0.86 23 4.96 105 22.63 228 49.14 360 77.59 104 22.41
16'wïmdr 472 0 0.00 16 3.39 83 17.58 264 55.93 363 76.91 109 23.09
17';%sl=Kdu,h 291 1 0.34 7 2.41 27 9.28 127 43.64 162 55.67 129 44.33
18'l=reKE., 1539 4 0.26 46 2.99 237 15.40 745 48.41 1032 67.06 507 32.94
19'mq;a;,u 444 3 0.68 15 3.38 54 12.16 209 47.07 281 63.29 163 36.71
20'wkqrdOmqrh 891 0 0.00 16 1.80 91 10.21 402 45.12 509 57.13 382 42.87
21'fmdf<dkakrej 453 3 0.66 12 2.65 54 11.92 183 40.40 252 55.63 201 44.37
22'n≥,a, 829 9 1.09 23 2.77 169 20.39 430 51.87 631 76.12 198 23.88
23'fudKrd., 366 1 0.27 13 3.55 82 22.40 190 51.91 286 78.14 80 21.86
24'r;akmqrh 708 4 0.56 21 2.97 165 23.31 346 48.87 536 75.71 172 24.29
25'lE.,a, 795 4 0.50 12 1.51 119 14.97 373 46.92 508 63.90 287 36.10
iuia; †jhsk 16398 108 0.66 586 3.57 2778 16.94 8003 48.80 11475 69.98 4923 30.02
j.=j 3
- 3 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
1'1'4' ,l=Kq ,ndf.k we;s wdldrh - mka;s m%dka;r wkqj
mka;s m%dka;rh ixLHd;hixLHd; m%;sY;h
iuqÉÑ; ixLHd;h
iuqÉÑ; ixLHd; m%;sY;h
91 - 100 0 0.00 21498 100.00
81 - 90 0 0.00 21498 100.00
71 - 80 21 0.10 21498 100.00
61 - 70 292 1.36 21477 99.90
51 - 60 1214 5.65 21185 98.54
41 - 50 3119 14.51 19971 92.90
31 - 40 6062 28.20 16852 78.39
21 - 30 7577 35.25 10790 50.19
11 - 20 3131 14.56 3213 14.95
01 - 10 82 0.38 82 0.38
00 - 00 0 0.00 0 0.00
j.=j 4
by;j.=jwkqjfuuúIhhi|yd31 - 40m%dka;rh;=<,l=Kq,nd.;awfmaCIlhskaixLHdj
6062 lajkw;r"thuqΩwfmaCIlhskaixLHdfjka28.20% ls',l=Kq40fydaBgwvqfjka,nd.;awfmaCIlhskaixLHdj16852ls'tuixLHdjuqΩwfmaCIlhskaf.ka78.39% lamuK
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- 4 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
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- 5 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
1'2'2' II m%Yak m;%fhys m%Yak f;dardf.k we;s wdldrh
-19-
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10
20
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40
50
60
70
80
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A B C D
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Question Number
G.C.E. (A.L.) Examination - 2016 Science for Technology - Paper II
Selection of Questions
1 - 4 olajd m%Yak wksjdr®h jQj;a" iqΩ ms˙ila tu
m%%Yakj,goms<s;=reimhdke;'jeäms˙ilams<s;=reiemhQQ
2 m%%Yakhgms<s;=re≥kam%%;sY;h98%ls'
B, C yd D fldgiaj, wka;r®.; jk 5 isg 10 f;lam%Yakj,skajeäums˙ilatkïwh≥ïlrejkaf.ka75%la
7 jkm%Yakhf;dardf.kwe;sw;r"wvqums˙ilatkïwh≥ïlrejkaf.ka26%lamuK9 jkm%Yakhf;dardf.kwe;'
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w'fmd'i' ^W'fm<& úNd.h - 2016 67 - ;dCIKfõoh i|yd úoHdj - II m;%h
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1'2'3' II m%Yak m;%fhys m%Yak i|yd ,l=Kq ,ndf.k we;s wdldrh
-19-
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10
20
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40
50
60
70
80
90
100
1 2 3 4 5 6 7 8 9 10
A B C D
Perc
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Question Number
G.C.E. (A.L.) Examination - 2016 Science for Technology - Paper II Performance in each Ques5on
00-25%
26-50%
51-75%
76-100%
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43.7
9
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10
20
30
40
50
60
70
80
90
100
1 2 3 4 5 6 7 8 9 10
A B C D
Perc
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Question Number
G.C.E. (A.L.) Examination - 2016 Science for Technology - Paper II Performance in each Ques5on
00-25%
26-50%
51-75%
76-100%
w'fmd'i' ^W'fm<& úNd.h - 2016 67 - ;dCIKfõoh i|yd úoHdj - II m;%h
m%Yak i|yd ,l=Kq ,ndf.k we;s wdldrh ^,l=Kq m%dka;r wkqj&
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20
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m%;sY;h 1%ls' tfuka u fjka
lrwe;s,l=Kqm%%udKfhka,l=Kq
00% - 25%;a w;r,l=Kq ,nd.;a
wh≥ïlrejkaf.a m%;sY;h 44%la
muKfõ'wfkl=;aishÆum%%Yak
i|yd wh≥ïlrejkaf.ka b;d
úYd, m%%;sY;hla ,l=Kq 00 - 25;a
w;r/f|ñkab;dwvq,l=Kq,nd
we;snjfmkShhs'
m%ia;drh 3 (RD/16/02/AL fmdarufhka,nd.;af;dr;=reweiq˙kailialrk,°')
G.C.E. (A.L.) Examination - 2015
Science for Technology - Paper II
Performance in each Question
36
82
54
76
82
36
54
68
76
61
38
14
33
19
14
29
33
25
18
26
19
3
11
53
22
9
5 68
6
0 1 0 1
12
42 1
5
0
10
20
30
40
50
60
70
80
90
100
1 2 3 4 5 6 7 8 9 10
Question Number
Per
cen
tag
e
00-25%
26-50%
51-75%
76-100%
-19-
43.7
9
80.1
5
61.2
6
92.9
6
52.6
66.3
4
59.0
8
61.1
1
86.4
7 90.3
4
39.0
8
17.6
5
27.4
9
6.22
35.3
7
30.1
6 32.9
4
31.1
1
8.7 9.03
16.0
8
1.93
10.8
6
0.54
11.1
3
3.5
7.47
6.89
4.35
0.62
1.05
0.26
0.39
0.27
0.9
0 0.51
0.89
0.48
0 0
10
20
30
40
50
60
70
80
90
100
1 2 3 4 5 6 7 8 9 10
A B C D
Perc
enta
ge
Question Number
G.C.E. (A.L.) Examination - 2016 Science for Technology - Paper II Performance in each Ques5on
00-25%
26-50%
51-75%
76-100%
-19-
43.7
9
80.1
5
61.2
6
92.9
6
52.6
66.3
4
59.0
8
61.1
1
86.4
7 90.3
4
39.0
8
17.6
5
27.4
9
6.22
35.3
7
30.1
6 32.9
4
31.1
1
8.7 9.03
16.0
8
1.93
10.8
6
0.54
11.1
3
3.5
7.47
6.89
4.35
0.62
1.05
0.26
0.39
0.27
0.9
0 0.51
0.89
0.48
0
0
10
20
30
40
50
60
70
80
90
100
1 2 3 4 5 6 7 8 9 10
A B C D
Perc
enta
ge
Question Number
G.C.E. (A.L.) Examination - 2016 Science for Technology - Paper II Performance in each Ques5on
00-25%
26-50%
51-75%
76-100%
- 6 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
1'2'4' II m%Yak m;%h i|yd idOkh
m%ia;dr
h 4
.1
(RD
/16/
04/A
L fmdarufhka,nd.;af;dr;=reweiq˙kailial
rk,°'
)
myiq;d or®Ylhw
'fm
d'i
' ^W
'fm
<&
úN
d.h
- 2
016
67 -
;dC
IK
fõ
oh
i|
yd
úoHd
j -
II
m;
%hm
%Yak
j,
my
iq;
d or
®Yl
h
-26-
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
(1)
(2)
(3)
(1)
(2)
(1)
(2)
(i) (
ii) (i
ii) (i
v) (
i) (ii
) (ii
i) (i)
(ii)
(iii)
(iv)
(v)
(vi
) (i)
(ii)
(i)
(ii) (
iii) (
iv)
(v)
(vi)
(vii)
(i)
(ii) (
iii)
(iv)
(v)
(i) (
ii)
(iii)
(iv)
(i) (
ii) (i
ii)
(a)
(b)
(c)
(d)
(a)
(b)
(a)
(b)
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
1 2
3 4
Part
A
Facility Index
Part
s an
d Su
b Pa
rts
G.C
.E.(A
.L.)
Exa
min
atio
n - 2
016
Scie
nce
for
Tech
nolo
gy -
Pape
r II
Fa
cilit
y In
dice
s of
Par
ts a
nd S
ub P
arts
A f
ldg
i
m%Y
ak w
xlh
- f
ldg
ia y
d w
kqfl
dgi
a
- 7 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
m%ia;dr
h 4
.2
w'f
md'i
' ^W
'fm
<&
úN
d.h
- 2
016
67 -
;dC
IK
fõ
oh
i|
yd
úoHd
j -
II
m;
%hm
%Yak
j,
my
iq;
d or
®Yl
h
m%Y
ak w
xlh
- f
ldg
ia y
d w
kqfl
dgi
a
myiq;d or®Ylh
-26-
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
(i) (
ii) (i
ii) (i
v) (v
) (vi
) (i)
(ii)
(i)
(ii)
(i) (
ii) (i
ii) (i
v) (v
) (vi
) (i)
(ii)
(iii)
(iv)
(v)
(i) (
ii) (i
ii) (i
v) (v
) (i)
(ii)
(iii)
(i)
(ii)
(i) (
ii) (i
ii) (i
v) (v
) (vi
) (vii)
(i)
(ii)
(iii)
(iv)
(v) (
vi) (v
ii)
(a)
(b)
(a)
(b)
(c)
(d)
(e)
(a)
(b)
(a)
(b)
(c)
(a)
(b)
(a)
(b)
5 6
7 8
9 10
Part
B
Part
C
Part
D
Facility Index
Par
ts a
nd S
ub P
arts
G.C
.E.(A
.L.)
Exa
min
atio
n - 2
016
Scie
nce
for
Tech
nolo
gy -
Pap
er I
I Facility Indices of Parts and
Sub
Parts
B fl
dgi
C f
ldg
iD
fl
dgi
- 8 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
II fldgi
2. m%YAk yd ms<s;=re iemhSu ms<sn| f;dr;=re
2.1 I m%YAk m;%h yd ms<s;=re iemhSu ms<sn| f;dr;=re
2.1.1 I m%YAk m;%fha jHQyh
Úld,hmeh02ls'uqΩ,l=Kq100ls'
Ú jrK 5 lska hq;a nyqjrK m%Yak 50 lska iukaú; fõ' (1), (2), (3), (4) yd (5) jrKj,skaksjer†fydajvd;a.e<fmkfydajrKhf;a¯uwfmaCIdflfr®'
Ú m%Yakish,a,gums<s;=reiemhSuwfmaCIs;h'
- 9 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
2'1'2' I m%YAk m;%h
- 10 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
- 11 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
- 12 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
- 13 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
- 14 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
- 15 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
2.1.3. I m%Yak m;%h i|yd ms<s;=re yd ,l=Kq °fï mámdáh
m%Yak ms<s;=r m%Yak ms<s;=r wxlh wxlh
01. ....... 26. .......
02. ....... 27. .......
03. ....... 28. .......
04. ....... 29. .......
05. ....... 30. .......
06. ....... 31. .......
07. ....... 32. .......
08. ....... 33. .......
09. ....... 34. .......
10. ....... 35. .......
11. ....... 36. .......
12. ....... 37. .......
13. ....... 38. .......
14. ....... 39. .......
15. ....... 40. .......
16. ....... 41. .......
17. ....... 42. .......
18. ....... 43. .......
19. ....... 44. .......
20. ....... 45. .......
21. ....... 46. .......
22. ....... 47. .......
23. ....... 48. .......
24. ....... 49. .......
25. ....... 50. .......
2
4
4
5
2
4
2
5
3
4
5
1
3
5
2
2
2
3
3
4
1
3
2
3
1
2
2
3
1
4
5
3
4
4
3
4
5
4
4
4
2
5
2
3
4
5
3
4
3
2
ksjer† tla ms<s;=rlg ,l=Kq 02 ne.ska ,l=Kq 100 ls'
- 16 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
2.1.4. I m%Yak m;%hg ms<s;=re iemhSu ms<sn| ks¯ÈK
5
47%
61%
58%
25%
44%
36%
25%
30%
43%
91%
43%
37%
75%
72%
29%
40%
39%
84%
55%
59
% 78
%
51%
60%
55
% 25
%
24%
46%
73%
44%
82%
55%
64%
66%
28%
23%
62%
41%
17%
60%
15%
15%
22%
45%
26%
34%
5% 34
%
27%
36%
58%
0 10
20
30
40
50
60
70
80
90
100
1 2
3 4
5 6
7 8
9 10
11
12 1
3 14
15
16 1
7 18
19
20 2
1 22
23
24 2
5 26
27
28 2
9 30
31
32 3
3 34
35
36 3
7 38
39
40 4
1 42
43
44 4
5 46
47
48 4
9 50
1 2
3 4
5
Facility
Que
stio
n N
umbe
r
G.C
.E.(A
.L.)
Exa
min
atio
n - 2
016
Scie
nce
for T
echn
olog
y - P
aper
I Fa
cilit
y In
dice
s
myiq;dj
m%Y
ak w
xlh
„j
úoHd
j
ri
dhk
úoHd
j
.◊
;h
f;
dr;
=re
yd
ik
aksfõ
ok
;dC
IK
h
fN
!;sl
úoHd
j
w'f
md'i
' ^W
'fm
<&
úN
d.h
- 2
016
67 -
;dC
IK
fõ
oh
i|
yd
úoHd
j -
I m
;%h
úI
h f
CIa;
% wk
qj m
%Yak
i|
yd
my
iq;
dj
- 17 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
úIh fCIa;%hmyiq;dj jeäu myiq;dj wvqu
m%Yakh myiq;dj m%Yakh myiq;dj
1. „júoHdj 2 61% 4 25%
2. ridhkúoHdj 10 91% 7 25%
3. .◊;h 18 84% 26 24%
4. f;dr;=reydikaksfõok;dCIKh 30 82% 35 23%
5. fN!;slúoHdj 39 60% 46 5%
47.8% 46.5% 53.6% 53.9%
30.2%
0
10
20
30
40
50
60
70
80
90
100
1 2 3 4 5
1
Faci
lity
Inde
x
Question Number
G.C.E.(A.L.) Examination - 2016 Science for Technology - Paper I
Facility Indices
m%;
sY;
h
m%Yak iajNdjh
„júoHdj ridhk úoHdj
.◊;h f;dr;=reydikaksfõok;dCIKh
fN!;slúoHdj
w'fmd'i' ^W'fm<& úNd.h - 2016
67 - ;dCIKfõoh i|yd úoHdj - I m;%h
tla tla úIh fCIa;%fhys myiq;dj
I m%Yakm;%hieliSugfhd∞.;am%OdkúIhfCIa;%myw;˙kajeäumyiq;djlawe;af;af;dr;=reydikaksfõok;dCIKhyd.◊;húIhfCIa;%%hkafõ'tajdfhamyiq;dj54%ne.skafõ' I m%Yakm;%hgms<s;=reiemhSfï°wh≥ïlrejkagjvd;au ≥IalrúIhfCIa;%hùwe;af;afN!;slúoHdjhs'tysmyiq;dj30% ls'I m%Yakm;%fhaiuia;myiq;dj45.3%fõ'
- 18 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
2.1.5. ˚ m%Yak m;%fha tla tla m%Yakfhys jrK f;dard we;s wdldrh - m%;sY; f,i m%Yak wxlh
ksjer† jrKh
tla tla jrKh f;dard we;s YsIH m%;sY;h1 2 3 4 5 Missing
1 2 14% 47% 19% 13% 6% 1%
2 4 9% 19% 9% 61% 2% -3 4 16% 4% 3% 58% 19% -4 5 24% 4% 24% 21% 26% 1%
5 2 30% 44% 15% 3% 8% -6 4 8% 19% 30% 36% 7% -7 2 4% 25% 6% 49% 16% -8 5 13% 30% 10% 17% 30% -9 3 4% 8% 43% 18% 27% -10 4 2% 2% 3% 91% 2% -11 5 6% 6% 11% 33% 43% 1%
12 1 37% 19% 4% 2% 38% -13 3 3% 6% 75% 4% 12% -14 5 4% 5% 10% 9% 72% -15 2 2% 29% 18% 40% 11% -16 2 20% 40% 11% 11% 17% 1%
17 2 7% 39% 34% 3% 16% 1%
18 3 2% 4% 84% 9% 1% -19 3 17% 13% 55% 4% 10% 1%
20 4 3% 16% 12% 59% 10% -21 1 78% 10% 7% 3% 2% -22 3 7% 7% 51% 20% 15% -23 2 9% 60% 16% 8% 7% -24 3 17% 12% 55% 9% 6% 1%
25 1 25% 33% 11% 21% 10% -26 2 6% 24% 20% 11% 39% -27 2 23% 45% 13% 12% 6% 1%
28 3 5% 3% 73% 17% 2% -29 1 44% 12% 14% 16% 14% -30 4 6% 7% 2% 82% 3% -31 5 14% 3% 22% 6% 55% -32 3 24% 4% 64% 4% 4% -33 4 7% 9% 5% 66% 13% -34 4 9% 4% 4% 28% 54% 1%
35 3 6% 8% 23% 18% 45% -36 4 9% 9% 6% 62% 14% -37 5 7% 5% 10% 37% 41% -38 4 8% 12% 43% 17% 19% 1%
39 4 1% 27% 3% 59% 9% 1%
40 4 46% 6% 17% 15% 15% 1%
41 2 64% 15% 6% 12% 2% 1%
42 5 8% 32% 16% 22% 22% -43 2 7% 46% 7% 33% 7% -44 3 9% 43% 26% 11% 11% -45 4 15% 17% 27% 33% 7% 1%
46 5 45% 21% 23% 6% 5% -47 3 7% 15% 33% 39% 5% 1%
48 4 22% 17% 18% 27% 16% -49 3 38% 8% 36% 16% 2% -50 2 8% 57% 23% 3% 9% -
* tlatlam%Yakhhgf;aksjer†jrKhf;dardwe;sYsIHm%;sY;hw∫remiqìfuysolajdwe;'
* Missing hkqfjkaolajdwe;af;a"m%Yakhi|ydjrKf;dardke;sfydatlajrKhlgjvdjeäfhkajrKf;dardwe;sfydaYsIHm%;sY;hhs'
- 19 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
2.1.6 I m%Yak m;%hg ms<s;=re iemhSu ms<sn| ks¯ÈK" ks.uk yd fhdackd
nyqjrKm%Yak50lskaiukaú;˚m%Yakm;%fhysm%Yakiliaùwe;af;amy;jHQQyhwkqjh'
úIh fCIa;%h m%Yak wxlh m%Yak ixLHdj
„júoHdj 1 - 4 04
ridhkúoHdj 5 - 17 13
.◊;h 18 - 27 10
f;dr;=reydikaksfõok;dCIKh 28 - 37 10
fN!;slúoHdj 38 - 50 13
fuu nyqjrK m%Yak m;%fhys myiq;dj 60%g jvd jdr®;d l< m%Yak ixLHdj 11ls'wh≥ïlrejka40%fydaBgjvdwvqmyiq;djlafmkajQQm%YakixLHdj22ls'
ksjer†jms<s;=reiemhSu40%jvdwvquÜgulmej;sm%Yakwxlydtajdgw∞<úIh
fCIa;%my;±lafõ'
úIh fCIa;%h m%Yak wxlh m%Yak ixLHdj
„júoHdj 4 01
ridhkúoHdj 6, 7, 8, 12, 15, 17 06
.◊;h 25, 26 02
f;dr;=reydikaksfõok;dCIKh 34, 35 02
fN!;slúoHdj38, 40, 41, 42, 44, 45, 46, 47, 48, 49 10
÷„júoHdj
fuum%%Yakm;%%fham%%Yakwxl1 - 4 olajdieliSwe;af;a„júoHdjúIhfCIa;%%hmokïlrf.kh'„júoHdjweiq˙kawidwe;sm%%Yakw;=˙ka25% lwvqumyiq;djlaolajkafka4 jk
m%%Yakhhs'fuum%%Yakfhaksjer†ms<s;=rjk(5) jkjrKhf;dardwe;af;awfmaCIlhkaf.ka26%la
muKms˙ils'(A) j.ka;sfhawvx.=iajdh;a;hkjpkhms<sn|ksrjq,awjfndaOhlafkdue;sùu
ksjer†jrKhf;dard.ekSugwmyiqjlaùwe;'fuuj.ka;sj,°we;s;dCI◊lfh≥ïms<sn|j
fyd¢kawjOdkhfhduqls¯fukafun∫≥r®j,;du`.yrjd.ekSugfhdackdflfr®'
÷ridhkúoHdj
m%%Yakm;%%fham%%Yakwxl5 isg 17 olajdiliaùwe;af;aridhkúoHdjúIhfCIa;%%fhks'10
m%%YakhfmagkaÜn,m;%%hms<sn|júuidwe;'fuhuQQ,sl±kqum¯CIdlrkir,ldrKhlayd
fndfydafokdokakdfCIa;%%hlaksid91% lby<myiq;djlafmkakqïlrwe;'ridhkúoHdj
m%%Yak13 kam%%Yak6 lumyiq;dj40% gwvqùwe;'
6 jkm%%Yakhg36% lwfmaCIlhkams˙ilaksjer†ms<s;=rjk(4) jkjrKhf;dardwe;'fuum%%Yakhb†˙m;alrwe;af;alr®udka;ridhkúIhfCIa;%%hgwh;a;Ska;ksIamdokl%%shdj,shwdY%%fhks'úúOlr®udka;i|ydfhdod.kakdwuqøjHuekúkau;lfhar|jd.ekSuwfmaCIlhdgksjer†jrKhf;dard.ekSumyiqlrjhs'
- 20 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
7 jkm%%Yakhnyqwjhúlms<sn|uQQ,slisoaOdka;u;mokïùwe;'tum%%Yakhg25% lwfmaCIlhkams˙ilaksjer†ms<s;=rjk(2) jkjrKhf;dardf.kwe;'kuq;ajer†m%%;spdrw;=˙kajeäums˙ilatkï49% lamuK(4) jkjrKhf;dardwe;'ma,diaála;dmhyuqfõyeisfrkwdldrhwkqjm%%Odkfldgiafollgfnodolajhs'tajdkï;dmiqúldr®hhma,diaálayd;dmia:dmkma,diaála fõ';dmiqúldr®hhma,diaálaj,yriankaOkfkdue;s w;r;dmhyuqfõmyiqfjkauD≥;;a;ajhgm;ajkksidtajdfhayevhkej;kej;fjkial<yel'kuq;a;dmia:dmkma,diaálaj,yriankaOkmj;skksid;dmhyuqfõuD≥l<fkdyelsw;rtajdtlajrlamuKlahïyevhlgm;al<yel'isiqkanyqwjhúlms<sn|jiqúfYaISlreKqm%%.=Kls¯uu.skafuum%%Yakhgksjer†jms<s;=reiemhshyelsnjfhdackdflfr®'
8 jkm%%YakhieliS we;af;aiajNdúlm%%Njhlskaixfhda.hla fjkalr.ekSfïuQQ,slisoaOdka;mokïlrf.kh'fïi|ydksjer†ms<s;=rjk(5)jkjrKhf;dardwe;af;a30% lmuK wfmaCIlhka m%%;sY;hls' tfukau 30% m%%;sY;hla ksjer† ms<s;=r f,i (2) jrKh o f;dard we;' fuys° ksjer† ms<s;=r f;dard.;a m%%;sY;hg iudk m%%;sY;hla jer† ms<s;=rla of;dardf.kwe;'fïi|ydfya;=jz>kM,hZydzwuqM,hZhkjpkwfmaCIlhskaksjer†jNdú;fkdls¯uhs' ixfhda.hlaksiaidrKfha ° ,efnkwixY=oaO M,h" wuq M,h (raw product) f,i o ye¢kafjk nj wfmaCIlhkag wjOdrKh l< hq;=h' iajNdúl m%%Njhlska ixfhda.ksiaidrKhlr.ekSfïl%%uy∫kd.ekSums<sn|jm%%dfhda.slm¯CIKis≥ls¯fukam¯CIKfhauQQ,sl mshjrhka ms<sn| wjOdkhfhduqls¯uiy;dCI◊lfh≥ïNdú;ls¯uu.ska fujeksm%%Yakj,gidr®:ljms<s;=reiemhshyelsnjfhdackdflfr®'
12 jk m%%Yakh ieliS we;af;a khsg%%cka pl%%h weiq˙ks' 37%la ksjer† jrKh f;darkw;ru 38% jeks jeä m%%;sY;hla ksjer† jrKh f,i f;dardf.k we;af;a (5) jk jrKhhs'tkï jer† jrKhls' khsg%%cka pl%%h .ek ie,lSfï ° khsà%%yrKh u.ska khsg%%cka iE°uis≥fõ' jdhqf.da,fha we;s N
2 bj;aùu is≥jkafka khsà%%lrK l%%shdj,sfhks' wl=Kq .eiSfï
l%%shdj,shokhsà%%lrKl%%shdj,shls'tys°jdhqf.da,fhawe;sN2 "
N2(g) + O
2(g) 2NO(g) njgm;afõ'miqjtu 2NO(g) + O
2 (g) 2NO
2 (g)
njgowjidkfha°"2H2O(g) + 4NO
2 (g) + O
2 (g) 4HNO
3 (l) njgom;afõ'fuysksjer†
jrKhf;a¯ui|ydby;l%%shdj,shwOHhkhls¯ugfhdackdflfr®'
15 jk m%%Yakh ieliS we;af;a W;afm%%arl ms<sn| ±kqu mokï lrf.kh' fuu m%%Yakhi|yd 29% liqΩ ms˙ila ksjer† jrKh y∫kdf.k we;' kuq;a 40% jeks wfmaCIlhska jeäms˙ilajer†jrKhlajk(4) jkjrKhf;dardwe;'(A) j.ka;shms<s;=ri|ydf;a¯fukaje,lSwe;af;a wfmaCIlhka ;=< iucd;Sh yd úIucd;Sh W;afm%%arl ms<sn| ±kqu mj;sk neúks' (B)
j.ka;shms<s;=ri|ydf;dard.ekSfukaW;afm%%arlfh¥úgridhkslm%%;sl%%shdjliS>%%;djjeäjknjwfmaCIlhska±kisáknjfmfka'kuq;a (D)jrKhf;a¯fukameye†,sjkafkaW;afm%%arlhkqzridhkslm%%;sl%%shdjlil%%shkYla;shwvqlrñkam%%;sl%%shdiS>%%;djjeälrkridhksløjHZnjwfmaCIlhskay∫kdfkd.;aksidh'fuum%%Yakhgksjer†ms<s;=riemhSui|ydW;afm%%arlksr®jpkhiytysl%%shdj,shms<sn|jksjer†ksrjq,a±kqulaisiqkg;sìhhq;=njfhdackdflfr®'
17 jk m%%Yakh ieliS we;af;a kefkda ;dCIKh ms<sn| ±kqu ms˙laiSug h' fï i|ydwfmaCIlhkaf.ka39% laksjer†jrKhjk(2) jrKhf;dardwe;sw;r34% lawfmaCIlhkams˙ila (3) jkjrKhof;dardwe;'uQQ,øjHj,.=Kr|dmj;skqfhamrudKqjl.=Ku;hkwoyiska(3) jkjrKhf;dardf.kwe;'kefkdawxY=j,,CIKms<sn|±kquwfmaCIlhka;=<mj;skuq;atams<sn|ixYaf,aIKd;aul±kqujr®Okhlr.;hq;=njfhdackdflfr®'
- 21 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
÷.◊;h
m%%Yakm;%%fham%%Yakwxl18 isg27 olajdiliaùwe;af;a.◊;húIhfCIa;%%fhks'.◊;hm%%Yakweiq˙kajeäumyiq;djlawe;af;a18 jkm%%Yakhghs'tkï 84% ls'tu.egΩjjr®.M,hwdY%%s;uQQ,sl.Kkhls¯ulaweiq˙kaieliSwe;sksidjeäwfmaCIlhkams˙ilgmyiqfjkaksjer†ms<s;=reiemhSugyelshdj,eîwe;'
.◊;hwdY%%fhkailidwe;sm%%Yakw;˙ka40% gjvdwvqmyiq;djlawe;sm%%Yakjkqfha25 yd26m%%Yakhs'
25 jkm%%Yakhi|ydksjer†jrKhjk (1) jkjrKhf;dardf.kwe;swfmaCIlhkaixLHdj25% ls'kuq;a(2) jrKhksjer†ms<s;=rf,if;dardf.kwe;swfmaCIlhkaf.am%%;sY;h33% ls'fuum%%Yakh,ïnlfr®Ldfollwkql%%uKhkaf.a.=◊;h(-1) nj±lafjkm%%;sM,hydy = mx + c wdldrfhkafok,oir,fr®Ldjlwkql%%uKhm hk±kqufhdodmyiqfjkaúi¢hyels.egÆjls'fuys°fojkiólrKhy = mx + c wdldrhgilialrfkd.ekSuksid(2) jrKhksjer†ms<s;=rf,if;dardf.kwe;'fujeks.egÆiïnkaOjiïu;iólrKhf.dvke.Su"wr®:l:khiyúi∫ïl%%uNdú;ls¯fïwNHdij,ksr;=rejfhoùuu.skawfmaCIlhkafujeksm%%Yaki|ydidr®:ljms<s;=reiemhSugfhduql<yelsh'
26 jkm%%YakhieliS we;af;aixLHd;jHdma;shluOHkHhfiùums<sn|úIh±kquweiq˙ks'fuum%%Yakhi|yd24% muKwfmaCIlhkams˙ila(2) jrKhjkksjer†jrKhf;dardwe;skuq;a39% lajeksjeäms˙ilaf;dardwe;sjrKhjkqfha(5) jkjrKhhs'j.=fjysm<jk;Srefjyswvx.=§w.h¶hkakx f,i;a"§ixLHd;h¶hkakf f,i;aksjer†jy∫kdfkd.ekSfuka"
uOHkHhfiùui|ydΣ f xΣ f
iólrKhNdú;ls¯ufjkqjgΣ f iΣ n
fhdodf.kwe;sneúkams<s;=r
f,ijeäms˙ila(5) jkjrKhf;dardf.kwe;'iïu;wxlkhNdú;lrixLHdkj.=jlaúia;rls¯ug;a"uOHkHhfiùfïiQQ;%%hNdú;dls¯ug;a"wNHdij,ksr;=rejufhoùuu.skawfmaCIlhkaidr®:lf,ims<s;=reiemhSugfhduql<yelsh'
÷f;dr;=reydikaksfõok;dCIKh
m%%Yakm;%%fham%%Yakwxl28 isg37 olajdm%%Yakiliaùwe;af;af;dr;=reydikaksfõok;dCIKhúIhfCIa;%%fhks'30 jkm%%Yakhi|ydmyiq;dj82% ls'm˙.KlfhauQQ,slWmdx.ms<sn|juQQ,sl±kquweiq˙kafuum%%Yakhksr®udKhùwe;sksidby<m%%;sY;hlaksjer†ms<s;=rf,i4
jkjrKhf;dardf.kwe;' f;dr;=re;dCIKhweiq˙kailidwe;sm%%Yakw;=˙ka40% gjvdwvqmyiq;djlawe;sm%%Yakjkqfha34 yd35 m%%Yakhs'
34 jkm%%YakfhkaMicrosoft Excell m%%dfhda.sljNdú;ls¯uiytajdfhafldaI(cell) i|ydfhdok iQQ;%% yd iólrKksjer† j ,sùu ms<sn| ±kqu uek nef,a' fuys° wfmaCIlhkaf.ka28% laksjer†jrKhjk(4) f;dard;snqKo54% lajeksby<m%%;sY;hlaf;dardwe;af;a(5)
jkjrKhhs'or®YShme;=reïm;aj,fldaI,smskhA1 f,iColumn number ydRow number ,sùuiïu;hhs'fldaI,smskmy<gmsgm;al<úg"A2 f,ioyriaw;gmsgm;al<úgB1 f,igofldaI,smskhka,efí'
- 22 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
Wod(
A2
B1
"$" ,l=fKkais≥jkafkaColumn ydRow wxl"absolute" ls¯uhs'tys°
$A2
$A1
$A1 fldmsl<úg"
A$1
B$1
A$1 fldmsl<úg"
$A$1
$A$1
$A$1 fldmsl<úg"
by;m˙†fõ'
me;=reïm;aj, (spread sheet) Ndú; jk fuu úfYaIs; ixfla; yd ishÆu .◊;lr®umsgm;a ls¯u" ixialrKhls¯u m%%dfhda.slj muKla fkdj wNHdi f,i o is≥ ls¯fuka fuu;;a;ajhu`.yrjd.;yel'
35 jkm%%Yakfhka ikaksfõok;dCIKfha Ndú; jk ¯;s ud,djla ms<sn| uQQ,sl±kqum¯CIdflfr®'fuum%%Yakhi|ydksjer†ms<s;=rjk(3) jkjrKhf;dardf.kwe;af;a23% lwfmaCIlhkams˙ils'45% lmuKjeäms˙ila(5) jkjrKhf;dardwe;'wka;r®cd,h(Internet)
hkqm˙.Klcd,j,cd,hls'World Wide Web hkqtuwka;r®cd,fhawe;stlamyiqluls'Internet
Protocol (IP) hkq wka;r®cd,fha Ndú; jk o;a; ikaksfõokh lrk ¯;s ms<sfj<hs' (TCP/IP)
IP address tllahkqm˙.KlhlgwkkHjQQfla;hls'IP address fkdue;sjwka;r®cd,hgmsúishfkdyel'fuulreKqfyd¢ka±kisáfhakïB j.ka;shi;HfkdjknjwfmaCIlhskawjfndaOlr.;hq;=j;sì◊'
÷fN!;slúoHdj
m%%Yak m;%%fha m%%Yak wxl 38 isg 50 olajd m%%Yak ilia ù we;af;a fN!;sl úoHd úIhfCIa;%%fhks'fN!;slúoHdj.egÆ13 ka40% gjvdwvqmyiq;djlawe;sm%%Yak10 lawe;'
38 jkm%%Yakhgksjer†ms<s;=rjk(4) jkjrKhf;dardf.kwe;sm%%;sY;h17% ls'kuq;a43% ljeäm%%;sY;hlaf;dardf.kwe;sjrKh(3) jkms<s;=rhs'wfmaCIlhka;=<SI moaO;sfhaNdú; jkuQQ,sl talliy jHq;amkak tallms<n|±kqu bf.kqï b.ekaùïl%%shdj,sh;=<skajr®Okh lrùfuka fujeks .egÆ i|yd idr®:lj ms<s;=re iemhSug wh≥ïlrejka fhduq l<yelsh'
40 jkm%%YakhieliSwe;af;añkqïWmlrKwdY%%fhks'ksjer†jrKhjk(4) jkjrKhf;dardf.kwe;af;a15% lmuKwfmaCIlhkams˙ilajkw;r46% ljeäms˙ilaf;dardf.kwe;af;a (1) jkjrKhhs' (1) jkjrKfha oYuia:dk;=klgolajdwe;sñkqup,wkaùlaIhu.skauekshyel'kuq;a(4) jkjrKfhai`oyka46 cm jeksúYd,w.hlap,wkaùCIh"jZkshr®le,smrhyduhsfl%%dógrbial=remamqwdudkhhkWmlrKj,skauekshfkdyelsw;roYuia:dkfollgolajdwe;sneúkaógr®rEf,kaouekshfkdyel'thgfya;=jógr®rEf,kauekshyelsl=vduñkqu0'1 cmùuhs'wfmalaIlhkaWmlrKhlskauekshyelsl=vduñkquydúYd,uñkqums<snooekqum%%dfhda.sll=i,;d;=,skajr®Okhlr.;hq;=h'bf.kqï-b.ekaùïl%%shdj,sfha°fïms<sn|jjeämqrwjOdkhfhduqls¯ugfhdackdflfr®'
41 jkm%%YakhYla;shms<sn`ooekquweiq˙kailidwe;'fuys(2) jkjrKhjkksjer†ms<s;=rf;dardwe;af;a15% lwfmaCIlhkams˙ils'kuq;a64% ljeäms˙ilaf;dard.;ams<s;=rjkafka(1) jkjrKhhs'fN!;slúoHdfõ°Ndú;jkfN!;slrdYSkauekSui|ydfhdod.kakdtallms<sn|bf.kqïb.ekaùïl%%shdj,sfhatatawjia:dj,°ksrjq,awjfndaOhla,nd°u;=<skafujeksm%%Yakj,gksjer†jms<s;=re,nd°ugwh≥ïlrejkafhduql<yelsh'
- 23 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
42 jkm%%Yakhilidwe;af;a;dmyqjudrejgwod<.Kkhkams<sn|±kquwdY%%fhks'fuysksjer†ms<s;=rjk(5) jkjrKhf;dardf.kwe;af;a22% lwfmaCIlhkams˙ils'kuq;a32%
lwfmaCIlhkams˙ilafojkjrKhf;dardf.kwe;'fuu.Kkhls¯fï°o;a;úYaf,aIKhlr úi∫ug ;=vq fok iïnkaO;d .◊;uh iólrK f,i m%%ldY ls¯fï l=i,;d jeä†hqKqls¯fïwjYH;djfuys,dwjOdrKhl<hq;=h'jeäwNHdim%%udKhlals¯ui|ydYsIHhkafhduqls¯fukafuu.egÆi|ydidr®:ljms<s;=reiemhSugwh≥ïlrejkafhduql<yelsh'
imhk;dmm%%udKiudkksidQA = Q
B fõ'Q = mcθ u.ska"
m c
B
2 θ
A = 2 m c
B θ
B
θ
A
2 = 2 θ
B
θ
A = 4
θ
B
44 jkm%%YakhwdlsñãiauQQ,Or®uhms<sn|±kqums˙laiSugieliSwe;sm%%Yakhls'tysksjer†ms<s;=rjk (3) jkjrKhf;dardf.kwe;swfmaCIlhka.Kk26% lajkw;r43% ljeäms˙ilaf;dardf.kwe;af;afojkjrKhhs'°we;so;a;wkqjmy;iïnkaO;djweiqfrkaksjer†ms<s;=r,nd.;yel'iïnkaO;d±lSuiyixiaf,aIKhls¯fïyelshdjkajr®Okhls¯fïwNHdim%%.=Kls¯ugfhdackdflfr®'
n,iu;=,s;;dju.ska"
Wvql=ref;rmqu(Vρg) = mg
wjia:dfoli|ydufuhfh°fuka"
60 = ( 2
3 Ah) ρg (1)
60 + P = (Ah) ρg (2)
(1)/(2)
60
60 + P = 2
3
P = 30 N
hdka;%%slYla;shyd;dmYla;shms<sn|uQQ,sl±kquweiq˙ka45 jkm%%Yakhilialrwe;'fuum%%Yakfhaksjer†ms<s;=rjk (4) jkjrKh33% lwfmaCIlhkams˙ilaf;dardf.kwe;'fuu.egÆfõms<s;=rmy;iïnkaO;dju.ska,nd.;yel'iïnkaO;d±lSuiyixiaf,aIKhls¯fïyelshdjkajr®Okhls¯fïwNHdim%%.=Kls¯ugfhdackdflfr®'
ydksjQQpd,lYla;sh = ;s˙x.mEvj,ksmojQQ;dmh
1
2 m v2 = mcθ
1
2 ×
800 ×
15 × 15 = 4.8 × 1200 ×
θ
θ = 800 × 15
2
2 × 4.8 × 1200
46 jkm%%YakhieliSwe;af;aúoHq;aOdrdfõ;dmkM,hms<sn|.Kkhls¯uwdY%%fhks'fuum%%Yakhgksjer†ms<s;=rjk(5) jkjrKhf;dardwe;af;a5% lmuKb;duwvqwfmaCIlhkams˙ils'm<uqjkjrKh45% lmuKms˙ilaf;dardf.kwe;'P = VI hkiïnkaO;djfhaV ksh;
ksidP = V 2
R fh†hyelswjia:dfolgu"
- 24 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
V
R R
V
R
R
P1 =
V 2R
1
P2 =
V 2R
2
12 = V 22R (1) P = 2 ×
V 2R (2)
(1) yd(2) ka"
12
P = V 2 × R
2R × 2V 2
12
P = 1
4
P = 48 W
.Kkhkai|ydiEuúgurEmigykaWmfhda.Slr.ekSu.Kkhkamyiqlr.ekSugfya;=fõ'wjfndaOh"iïnkaO;d±lSuiyixiaf,aIKhls¯fïyelshdjkajr®Okhls¯fïwNHdim%%.=Kls¯ugfhdackdflfr®'
47 jkm%%YakhieliSwe;af;am%%;Hia:;djms<sn|uQQ,sliólrKhweiq˙ks'fuum%%Yakhi|ydksjer†jrKhjk(3) jkjrKhf;dardf.kwe;af;a33% lwfmaCIlhkams˙ilamu◊'my;iïnkaO;djNdú;fhka.egÆjúi¢hyel'
hxudmdxlh(Y) =
wd;kHm%%;Hdn,h
wd;kHúl%%shdj =
F/Ae/l
=
w/2Al/8A
= 4 wA
°we;so;a;tukshuhgwod<.◊;uhm%%ldYkhf,i,shdúi£ugwfmaCIs;h'.egÆjgwod<ixl,amhksjer†jy∫kd.ekSfïydo;a;úYaf,aIKhlrúi∫ug;=vqfokiïnkaO;d.◊;iólrKf,im%%ldYls¯fïl=i,;djeä†hqKqls¯ugfhdackdflfr®'
48 jkm%%YakhWIaK;ajhiu.ikakdhlj,yeis¯u weiq˙kaksr®udKhlr we;' fïi|ydksjer†ms<s;=rjk(4) jkjrKh27% lwfmaCIlhkams˙ilaf;dardf.kwe;sw;r22%
lms˙ilaksjer†jrKhf,i(1) jkjrKhf;dard.kwe;'fuum%%Yakhgms<s;=reiemhSfï°iqms˙ikakdhlms<sn|uQQ,slisoaOdka;wOHhkfhka(1), (3) yd(5) jrKtljrbj;al<yel'ikakdhlj,m%%;sfrdaOl;djWIaK;ajhiu.jeäjknjfydawr®Oikakdhlj,m%%;sfrdaOl;djWIaK;ajhiu.wvqjknj±k.ekSfukams<s;=r(4) njf;dard.;yel'øjHj,úoHq;am%%;sfrdaOl;djWIaK;ajhiu.úp,khfmkakqïlrkwNHdijeäm%%udKhlals¯ui|ydisiqkafhduqls¯ugfhdackdflfr®'
- 25 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
49 jkm%%YakhjD;a;p,s;hweiq˙ks'fïi|ydksjer†ms<s;=rjk(3) jrKhf;dardf.kwe;af;a36% lwfmaCIlhkams˙ilajkw;r(1) jkjrKho38% lm%%;sY;hlaf;dardf.kwe;'
fuys ksjer† m%%;spdrh (3) jk jrKh jk kuq;a jeä wfmaCIlhka ms˙ila (1) jk jrKhof;dardf.kwe;'thgfya;=jjkafkaialkaOh;ka;=jTiafiajD;a;dldrm:hl.ukal<;a;ka;=jlevqKqúgflakaødmid¯n,hwe;ehsie,lSfukaúhyelsh'jD;a;dldrm:hl.ukalrkúgflakaøwmid¯ydflakaøwNsid¯n,iudkjkw;r;ka;=jlevqKqúgflakaøwNsid¯n,hke;sùhhs'taiu.uflakaøwmid¯n,hoke;sùhhs'fïfya;=fjkawxY=jgwe;af;aiamr®YhTiafiam%%fõ.hlamuKlaneúkaialkaOhiamr®YhTiafiap,khfõ'kHdhd;aul±kqujr®Okhi|ydm%%dfhda.slw;a±lSïweiqrelr.ekSugfhdackdflfr®'
- 26 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
2.2. II m%YAk m;%h yd ms<s;=re iemhSu ms<sn| f;dr;=re
2.2.1. II m%Yak m;%fha jHqyh
ld,hmeh 03ls'uqΩ,l=Kq100ls'
fuum%Yakm;%hA, B, C ydD jYfhkafldgiay;rlskaiukaú;fõ' A fldgi - jHqy.;rpkdjr®.fham%Yaky;rls'm%Yakish,a,gums<s;=re
iemhshhq;=h'tlam%Yakhlg,l=Kq100 ne.ska,l=Kq400 ls'
B, C ydD hkfldgiaj,skawjujYfhkam%Yaktlne.skaf;dardf.km%Yaky;rlgmuKlams<s;=reiemhshhq;=h' B fldgi - rpkdjr®.fha.◊;m%Yakfolls' tlam%Yakhlg,l=Kq150ls' C fldgi - rpkdjr®.fharidhkúoHdjm%Yakfolls' tlam%Yakhlg,l=Kq150ls' D fldgi - rpkdjr®.fhafN!;slúoHdjm%Yakfolls' tlam%Yakhlg,l=Kq150ls'
B, C ydD i|yduqΩ,l=Kq = 150 × 4 = 600
˚˚m;%h i|yduqΩ,l=Kq = 1000 ÷ 10 = 100
- 27 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
2.2.2. II m%Yak m;%h i|yd m%Yak f;dard we;s wdldrh yd m%Yakj, myiq;dj
-26-
97
98
97
94
71
65
75
57
26
41
35
17
25
10
25
24
27
23
13
14
0 10
20
30
40
50
60
70
80
90
100
1 2
3 4
5 6
7 8
9 10
1
Facility Index
Par
ts a
nd S
ub P
arts
G.C
.E.(
A.L
.) E
xam
inat
ion
- 20
16
Che
mis
try
- P
aper
II
(Par
t B
) F
acili
ty I
ndic
es o
f P
arts
and
Sub
Par
ts
-26-
97
98
97
94
71
65
75
57
26
41
35
17
25
10
25
24
27
23
13
14
0 10
20
30
40
50
60
70
80
90
100
1 2
3 4
5 6
7 8
9 10
1
Facility Index
Par
ts a
nd S
ub P
arts
G.C
.E.(
A.L
.) E
xam
inat
ion
- 20
16
Che
mis
try
- P
aper
II
(Par
t B
) F
acili
ty I
ndic
es o
f P
arts
and
Sub
Par
ts
m%%;sY;h
m%Y
ak w
xlh
m%Y
ak f
;a¯
u
w'f
md'i
' ^W
'fm
<&
úN
d.h
- 2
016
67 -
;dC
IK
fõ
oh
i|
yd
úoHd
j -
II m
;%h
m
%Yak
f;
dard
we;
s wdl
drh
yd
m%Y
akj
, m
yi
q;dj
m%Y
akfh
a my
iq;
dj
-26-
97
98
97
94
71
65
75
57
26
41
35
17
25
10
25
24
27
23
13
14
0 10
20
30
40
50
60
70
80
90
100
1 2
3 4
5 6
7 8
9 10
1
Facility Index
Par
ts a
nd S
ub P
arts
G.C
.E.(
A.L
.) E
xam
inat
ion
- 20
16
Che
mis
try
- P
aper
II
(Par
t B
) F
acili
ty I
ndic
es o
f P
arts
and
Sub
Par
ts
- 28 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
2.2.3. II m%Yak m;%h i|yd wfmaÈs; ms<s;=re" ,l=Kq °fï mámdáh" ms<s;=re iemhSu ms<sn| ks¯ÈK" ks.uk yd fhdackd
II m;%h i|yd ms<s;=re iemhSu ms<sn| ks¯laIK m%ia;dr wxl 2" 3" 4'1 iy 4'2 weiq˙ka ilia lr we;'
A fldgi - jHQy.; rpkd 1 m%Yakh
√
√
√
√√
×
×
×
××
×
×
×
××
(01 × 15 = ,l=Kq 15)
..............................................................................................................................................^wuqls˙j,isák&wys;lr$wkjYH$frda.we;slrkCIqø„ùkaúkdYls¯ug$bj;als¯ug
(,l=Kq 05)
..............................................................................................................................................,elaála wï, ksmojk nelaà˙hd$uqyqkaj, isák nelaà˙hd fyda CIqø„ùkaf.al%%shdld¯;ajhm%%Yia;jkneúks'
(,l=Kq 05)
..............................................................................................................................................nelaà˙hd.ykhjeäùublaukals¯ug$nelaà˙hdjr®Okfõ.hjeäls¯ug
(,l=Kq 05)
..............................................................................................................................................1. nelaà˙hdu.skals˙iSks,elaálawï,hnjgm;aùu
..............................................................................................................................................2. ,elaálawï,hksidls˙fm%%daàkleá.eiSu
(05 × 2 = ,l=Kq 10)
- 29 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
..............................................................................................................................................cdkwe;=<;alrfydabj;alr$fjkialr,nd.kakdwÆ;a„ùkah'
(,l=Kq 05)
mshjr tkaihsuh
(A) ksYaÑ;ia:dkhlskaDNA lemSu (Restriction) tkafvdakshqla,sfhaia$friaá%%laIkatkaihsu
(B) f;dard.;aDNA fldgiafollaixfhdackhls¯u (DNA) ,hsf.aia
.......................................................................................................................................Q
(,l=Kq 05)
.......................................................................................................................................fm%%daáfhaia(Protease)/fmmaáfâia
(,l=Kq 05)
.......................................................................................................................................nhshQQfr®Üm¯CIdj(Biuret test)
(,l=Kq 05)
- 30 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
...........................................................................................................................................whäka
(,l=Kq 05)
...........................................................................................................................................Z ^,smsv&
(,l=Kq 05)
...........................................................................................................................................fudfkdielrhsâ(Monosaccharide)
(,l=Kq 05)
...........................................................................................................................................fnkälaÜ(Benedict) -ks,ajr®Khfyda^fµa,sxA+B -ks,ajr®Kh&
m%%;sl%%shlh ,l=Kq 03jr®Kh ,l=Kq 02
(,l=Kq 05)
...........................................................................................................................................fnkälaÜi|yd.fvd,ar;=(Brick red),fµa,sxi|ydr;=
(,l=Kq 05)
...........................................................................................................................................Y^iqfl%%daia&
(,l=Kq 05)
m%%Yak wxl 1 i|yd uqΩ ,l=Kq 100
- 31 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
1 jk m%Yakhg ms<s;=re iemhSu ms<sn| iuia; ks¯ÈK" ks.uk yd fhdackd (
m<uqm%Yakhwksjdr®hhjqj;a"Bgms<s;=reimhdwe;af;awh≥ïlrejkaf.ka97%ls'fuum%Yakhi|yd,l=Kq100laysñfõ'bka,l=Kq 0 - 25 m%dka;rfha 44%lao ,l=Kq26 - 50m%dka;rfha39%lao ,l=Kq51 - 75m%dka;rfha16%lao ,l=Kq76 - 100m%dka;rfha 1%lao,l=Kq,ndf.kwe;'
fuum%Yakhi|yd,l=Kq 76gjvd,nd.;a ms˙i 1%lamuK iqΩ ms˙ila jk w;r" wh≥ïlrejkaf.ka 83%la,ndf.kwe;af;a,l=Kq50gfydaBgjvdwvqfjks'
m%Yakh i|yd ,l=Kq ,nd we;s wdldrh
-19-
00 - 25 44%
26 - 50 39%
51 - 75 16%
76 - 100 1%
fuujHQQy.;rpkdm%Yakhgwkqfldgia16la we;s w;rishÆu wkqfldgiaj,myiq;dj 61%gjvd wvq h' tfuka uwkqfldgia 10l myiq;dj 40%g jvdwvq h' myiq u wkqfldgi (a) ù we;sw;rtysmyiq;dj61%ls'myiq;djwvquwkqfldgi (b)(iii) fõ'tysmyiq;dj2%ls'
m%Yakfha fldgia yd wkqfldgiaj, myiq;dj
myiq;dj
-26-
61%
51%
23%
2% 5%
19%
26%
56%
19%
37%
16%
54%
44%
34% 28%
53%
0
10
20
30
40
50
60
70
80
90
100
(1) (2) (3)
(i) (ii) (iii) (iv) (i) (ii) (iii) (i) (ii) (iii) (iv) (v) (vi)
(a) (b) (c) (d)
1 1 m%Yakfhys fldgia yd wkqfldgia
1 jkm%%YakhfuhCIqø„júoHdjiyffcjdKqj,jHQQywdY%%s;jilidwe;'CIqø„ùksIamdokl%%shdj,shlwkqms<sfj,tla tla mshjrj,úfYaIs;ldr®hhka" tla tla w†hrj,is≥jkffcjridhkslm%%;sl%%shd"tum%%;sl%%shdj,iS>%%;djhgn,mdkidOlms<sn|jwe;swvqwjfndaOh(b)(ii), (iii), (iv) wkqfldgiaj,23%, 2%yd5% jekswvqmyiq;djkafmkaùugfya;=ùwe;'
(c) yd (d) fldgiaj,° wod< úIh fldgiaj, ±kqu uekSula is≥ fõ' ffcjdKqj, jHQQyh ydffcjdKqj,,CIK"tuffcjdKqy∫kd.ekSfïm¯CIdms<sn|ifudaOdksl±k.ekSfïwjYH;djhfuufldgigms<s;=reiemhSfïmyiq;djjr®Okhgfya;=fõ'
iuia;hla f,i.;aúg wh≥ïlrejka wvq myiq;djla olajk fldgiaj,ska fmkS hkafka úIhlreKqwdjr®ckfhaiym%%ldYkfhys≥r®j,;djhhs'm%%Yaklrñkabf.kqï-b.ekaùïl%%shdj,sfhafh°u"fuufldgiau;lfhar|jd.ekSugwfmaCIlhdgbjy,aúhyel'YsIHhdf.ajdÑliy,sÅ;m%%ldYkYla;shu;=lr.ekSuojeo.;afõ'bf.kqï -b.ekaùïl%%shdj,sfha °isiqkaf.aOdrKYla;shuekne,SuiywNsfm%%arKhi|ydksrka;rfhkawe.hSïis≥ls¯uowjYHfõ'tu.skaidOkuÜguby<kxjd.ekSugfhdackdflfr®'
- 32 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
2 m%Yakh
...........................................................................................................................................újD;
(,l=Kq 05)
øj c,h c, jdIam
1. wKqw;rwdlr®IKn,m%%n,hs'
2. wKqj,pd,lYla;sh$fõ.hwvqhs'
3. wKqw;r≥rwvqhs'
wKqw;rwdlr®IKn,wvqhs'$ke;'
wKqj,pd,lYla;sh$fõ.hjeähs'
wKqw;r≥rjeähs'
(fomiu ´kEu lreKq follg 10 × 2 = ,l=Kq 20)
........................................................................................................................................... 40°C
(,l=Kq 05)
- 33 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
CaO + H2O ^m%%;sl%%shl&
Ca(OH)2 ^m%%;sM,&
Yla;sh
(05 × 2 = ,l=Kq 10)
........................................................................................................................................... Q = mcΔθ or Q = mcθ (,l=Kq 05) = 150(g) × 4.3 (J°C-1g-1) × 40(°C) = 25.8 kJ (,l=Kq 05)
...........................................................................................................................................
...........................................................................................................................................
(ms<s;=r + tallh = ,l=Kq 04 + 01)
........................................................................................................................................... 100 g115.8 kJ
× 25.8 kJ (,l=Kq 05)
= 22.28 g ...........................................................................................................................................
...........................................................................................................................................
(ms<s;=r + tallh = ,l=Kq 04 + 01)
........................................................................................................................................... ΔθΔt
or - ΔθΔt
(,l=Kq 05)
= 4.2°C10 min (,l=Kq 05)
= 0.42 (,l=Kq 05)
...........................................................................................................................................
...........................................................................................................................................
...........................................................................................................................................
...........................................................................................................................................ñks;a;=4
(tallh iu. ms<s;=r = ,l=Kq 05)
...........................................................................................................................................CaOysidudkHlaIhùfïiS>%%;djh = - Δm
Δt (,l=Kq 05)
= 22.28 g4 min (,l=Kq 05)
= 5.57 (,l=Kq 05)
...........................................................................................................................................
...........................................................................................................................................
...........................................................................................................................................
m%%Yak wxl 2 i|yd uqΩ ,l=Kq 100
- 34 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
2 jk m%Yakhg ms<s;=re iemhSu ms<sn| iuia; ks¯ÈK" ks.uk yd fhdackd (
fojk m%Yakh wksjdr®hh jk kuq;a" Bg ms<s;=re imhdwe;af;awh≥ïlrejkaf.ka98%ls'fuum%Yakhi|yd,l=Kq100laysñfõ'bka,l=Kq 0 - 25m%dka;rfha80%lao ,l=Kq26 - 50m%dka;rfha18%lao ,l=Kq51 - 75m%dka;rfha2%lao ,l=Kq76 - 100m%dka;rfha0%lao,l=Kq,ndf.kwe;'
fuum%Yakhi|yd,l=Kq76gjvd,ndwe;slsis∫wfmaCIl-hl= fkdue;s w;r" wh≥ïlrejkaf.ka 98%la u,ndf.kwe;af;a,l=Kq50gjvdwvqfjks'
m%Yakh i|yd ,l=Kq ,nd we;s wdldrh
-19-
00 - 25 80%
26 - 50 18%
51 - 75 2%
76 - 100 0%
fuum%Yakfha wkqfldgia 9la we;s w;r"bka wkqfldgia 8l u myiq;dj 40%gjvd wvqh' myiq u wkqfldgi (a)(i) ùwe;sw;rtysmyiq;dj50%ls'myiq;dj wvq u wkqfldgia (b)(iv) yd (b)(vii) jk w;rtysmyiq;dj1%ls'
m%Yakfha fldgia yd wkqfldgiaj, myiq;dj
myiq;dj
-26-
50%
26%
5%
31% 26%
1% 8% 5%
1% 0
10
20
30
40
50
60
70
80
90
100
(i) (ii) (i) (ii) (iii) (iv) (v) (vi) (vii)
(a) (b)
2
2 m%Yakfhys fldgia yd wkqfldgia
;dmixl%%uKhiym%%;sl%%shdjliS>%%;djgwod<m%%Yakhlajkfuys(a)(i) fldgii|ydwh≥ïlrejka
50%lmyiq;djlaolajdwe;'fuhWm˙umyiq;djolajk,owkqfldgihs'
(b)(iv), (b)(vii) wkqfldgia1% jekswjumyiq;djlafmkajdwe;' (b)(i) fldgigms<s;=re,sùfï°
fndfyduhlawfmaCIlhskafuyswdrïNlWIaK;ajh;a(35°C), m%%;sl%%shdjis≥jQQld,h;=<we;sjQQ§Wm˙u¶WIaK;ajh(75°C) hkwjia:dy∫kdf.kfkd;sîums<s;=rem;%%we.hSfï°olakg,eì◊'
fuys°imhk,oo;a;ksjer†jlshjdwjfndaOlr.ekSui|ydksr;=reju.egÆúi£ufhdackd
flfr®' .Kkh ls¯ï wvq idOk uÜgul we;s ksid" wfmaCIlhd jeä m%%ùK;djla ,nd.ekSug
.◊;uhiqΩls¯ïmqyqKql<hq;=h'
(b)(vii)ysm%%;sl%%shdjlm%%;sl%%shlydM,weiq˙kam%%;sl%%shdiS>%%;diólrKh,sùfï°,l=Kqiïuq;sh
ksjer†jfh°ums<sn|jwjOdkhfhduql<hq;=h'
- 35 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
3 m%Yakh
Z
E
6 V
S R
A
X
+
+
A
V
Y
8 Ω
B
fyda
V
8 ΩZ
E
6 V
S R
A
X
+
+
AY
B
(05 × 3 = ,l=Kq 15)
(ms<s;=re folu ksjer† kï ,l=Kq 05)
.............................................................................................................................................. Wm˙uOdrdj = VR
= 6 V8 Ω
(,l=Kq 02)
= 0.75 A = 750 mA (,l=Kq 03)
(ms<s;=r + tallh = ,l=Kq 04 + 01)
........................................................................................................................................1 A (,l=Kq 05)
........................................................................................................................................Odrdjjvdksjer†j$jvdksYaÑ;j$wvqfodaIiys;jlshúhyelsh$weógrhWm˙uixfõ°;djlskal%%shdlrhs'
(´kEu ksjer† fya;=jlg" ,l=Kq 05)
- 36 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
(uQQ, ,CIh yryd hk ir, fr®Ldj i|yd ,l=Kq 10)
........................................................................................................................................ú≥,smkaoïn,anhyryd6 VúNjwka;rhlaiemhQQúgtu.skaW;air®ckh$m˙fNdackhCIu;dj0.36 Wfõ'
(,l=Kq 05)
........................................................................................................................................^iQQ;s%%ldj;=<ska.,kOdrdju.skaksmojk;dmfhka&iQQ;%%sldfõm%%;sfrdaOhjeäùuksid
(,l=Kq 05)
R = V 2P (,l=Kq 02)
= 360.36
(,l=Kq 03)
= 100 Ω
- 37 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
(ms<s;=r + tallh = ,l=Kq 04 + 01)
I = PR√ fydaV/R fydaP/V (,l=Kq 02)
= 0.36100√
fyda 6100
fyda0.36/6 (,l=Kq 03)
= 0.06 A = 60 mA
(ms<s;=r + tallh = ,l=Kq 04 + 01)
P ≡ (60 mA, 6 V)
P
(m%%ia;drh u; P ,laIh ,l=Kq ls¯u i|yd ,l=Kq 05)
Rt = R0 (1 + aΔθ) (,l=Kq 02)
10 = R0 (1 + 0.0043 × 18) (,l=Kq 04)
100 = R0 (1 + 0.0043θ) (,l=Kq 04) θ = 2273 °C
(ms<s;=r + tallh = ,l=Kq 04 + 01)
m%%Yak wxl 3 i|yd uqΩ ,l=Kq 100
- 38 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
3 jk m%Yakhg ms<s;=re iemhSu ms<sn| iuia; ks¯ÈK" ks.uk yd fhdackd m%Yakh i|yd ,l=Kq ,nd we;s wdldrh f;jk m%Yakh wksjdr®hh jkkuq;a" Bg ms<s;=re imhd
we;af;a97%ls'fuum%Yakhi|yd,l=Kq100laysñfõ'bka,l=Kq0 - 25m%dka;rfha61%lao ,l=Kq26 - 50m%dka;rfha28%lao ,l=Kq51 - 75m%dka;rfha11%lao ,l=Kq76 - 100m%dka;rfha0%lao,l=Kq,ndf.kwe;'
fuum%Yakhi|yd,l=Kq76gjvdlsisfjl=,ndfkdue;sw;r"wh≥ïlrejkaf.ka61%lau,ndf.kwe;af;a,l=Kq25lgjvdwvq,l=Kqm%udKhls'
-19-
00 - 25 61%
26 - 50 28%
51 - 75 11%
76 - 100 0%
fN!;sl úoHdj weiq˙ka ilid we;s fuum%Yakfha wkqfldgia 11la we;s w;r" bkawkqfldgia8lmyiq;dj40%gwvqh'myiquwkqfldgi(a)(iv)(1) ùwe;sw;rtysmyiq;dj51%ls'myiq;djwvquwkqfldgi (b)(ii) fõ'tysmyiq;dj2%ls'
m%Yakfha fldgia yd wkqfldgiaj, myiq;dj
myiq;dj
-26-
41%
30%
39%
51%
18%
41%
21%
2%
17% 13%
3%
0
10
20
30
40
50
60
70
80
90
100
(1) (2) (1) (2)
(i) (ii) (iii) (iv) (v) (i) (ii) (iii) (iv)
(a) (b)
3 3 m%Yakfhys fldgia yd wkqfldgia
fuu .egÆfjka wfmaCId lr we;af;a wfmaCIlhdg weógr" fjda,aÜógr yd m%%;sfrdaO ms<sn|wjfndaOhfukautuWmlrKm˙m:hlksjer†jiïnkaOlrkwdldrhms<sn|jwe;sl=i,;djhfidhd ne,Suhs' weógrhla m˙m:fha m%%;sfrdaOhlg fY%%a◊.;j;a" fjda,aÜógrhla m%%;sfrdaOhlgiudka;r.;j;aiïnkaOlrkw;rtajdneg˙fha(+) yd(-) w.%%i,lñkaksjer†jiïnkaOls¯ums<sn|l=i,;djhfuys(a)(1) fldgiskawfmaCIdlrhs'tysmyiq;dj41% ls'(a)(iii) fldgfiys´ïkshuhms<sn|wjfndaOhms<s;=re,sùui|ydm%%fhdackj;afõ'
Wm˙uOdrdj= VR =
6 V8 Ω = 750 mA ls'
(a)(iv) ys 1 A yd10 A weógrj,skafuys.,kWm˙uOdrdj750 mA fõ'tuksidjvd;aixfõ°jOdrdjuekSugjvdfhda.Hhjkafka1 A weógrhfõ'
(b) ysn,anhliQQ;%%sldjjeks´ñlfkdjkikakdhlhla;=<skaOdrdj.d,dhkúgV iyI w;r m%%ia;drhmy;m˙†fõ'm%%ia;drfhawkql%%uKfhkam%%;sfrdaOh,efí'
R = VI = tan θ
R jeäjkúgtan θ j,w.hjeäfõ'R ∝ tan θtúgm%%ia;drhjl%%fõ'
V
I
(b) ys(iv)fldgigwfmaCIlhdúiskams<s;=re°fïmyiq;dj3% ls'fuhm%%;sfrdaOWIaK;ajyuqfõyeis¯uolajkR
1 = R
0(1 + aΔθ)Ndú;fhkais≥lrk.Kkhls¯uls',nd°we;so;a;y∫kdf.k"
.e<fmkiólrKhf;dard.ekSuydiólrKhgw.hkaksjer†talliys;jwdfoaYls¯ums<sn|≥r®j,;d ±laùu ksid wfmaCIlhkag ksjer† ms<s;=r ,nd.ekSug fkdyels ù we;s nj fmfka'bf.kqï-b.ekaùïl%%shdj,sfhys°m%%dfhda.slm¯CIKksjer†jis≥ls¯fïl=i,;djh,nd°u;auQQ,slkHdhhkaiyiQQ;%%ms<sn|j±kqujr®Okhls¯u;aw.hhkawdfoaYlrksjer†jiqΩls¯ugYsIHhkafhduqls¯u;ais≥l<hq;=h'
- 39 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
4 m%Yakh
.................................................................................................................
mgA
(,l=Kq 05)
.................................................................................................................
l - l0l0
(,l=Kq 05)
....................................................................................................................................................
....................................................................................................................................................
mgA = Y' l - l0
l0 ^hxudmdxlhi|ydYsIHdg´kEuixfla;hlafydajpkhlaNdú;l<yelsh'& fyda
mgA ∝
l - l0l0 (,l=Kq 05)
....................................................................................................................................................rnr®nghgfhdokq,nkialkaOh$nr^m fydakg&tawjia:dfõ°rnr®ngfhakj†.^l&
(05 × 2 = ,l=Kq 10)
....................................................................................................................................................
l = ( gl0
AY ' ) m + l0
(,l=Kq 05)
...........................................
gl0
AY ' ...........................................
l 0
(05 × 2 = ,l=Kq 10)
- 40 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
(ksjer† wCI iys; m%%ia;drhg ,l=Kq 10)
.............................................................................................................................................
Y ' = gl0
A×G
(,l=Kq 05)
rnr®ngfhawNHka;riyndysrúIalïNh (,l=Kq 05)rnr®ngfhawdrïNl†.^l0& (,l=Kq 05).............................................................................................................................................
ñkqu WmlrKh l=vdu ñkqu$ññ (mm)wNHka;rúIalïNh p,wkaùCIh 0.01
ndysrúIalïNh p,wkaùCIh 0.01
wdrïNl†."l0 ógr®flda≥j 1
(WmlrKh + l=vdu ñkqu = (03 + 02) × 3 = ,l=Kq 15)(WmlrKh rys;j l=vdu ñkqu muKla we;s wjia:djl ,l=Kq m%%odkh fkdlrkak'&
m%%;Hdia:úNjYla;sh= 12 × n,h× ú;;shfyda
m%%;Hdia:úNjYla;sh= 12 × mg × ^l - l0&
n,h^mg&
ú;;sh^l - l0&
(ksjer† wlaI i|yd = (02 × 2 = ,l=Kq 04) (wlaI ksjer† kï yevh i|yd = ,l=Kq 06)
m%%Yak wxl 4 i|yd uqΩ ,l=Kq 100
- 41 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
4 jk m%Yakhg ms<s;=re iemhSu ms<sn| iuia; ks¯ÈK" ks.uk yd fhdackd (
y;rjkm%Yakhwksjdr®hjqj;a"Bgms<s;=reimhdwe;af;a94%lmuKms˙ils'fuum%Yakhi|yd,l=Kq100laysñfõ'bka,l=Kq 0 - 25m%dka;rfha93%lao ,l=Kq26 - 50m%dka;rfha6%lao ,l=Kq51 - 75m%dka;rfha1%lao ,l=Kq76 - 100m%dka;rfha0%lao,l=Kq,ndf.kwe;'
fuum%Yakhi|yd,l=Kq76gjvdlsisfjl=,ndfkdue;sw;r"wh≥ïlrejkaf.ka93%lau,ndf.kwe;af;a,l=Kq25fydaBgjvdwvqfjks'
m%Yakh i|yd ,l=Kq ,nd we;s wdldrh
-19-
00 - 25 93%
26 - 50 6%
51 - 75 1%
76 - 100 0%
fN!;slúoHdjwdY%s;fuum%Yakfhawkqfldgia10la we;s w;r" ishÆu fldgiaj, myiq;dj20%g wvq h' myiqu wkqfldgi ù we;af;a (a) h'tysmyiq;dj19%lamuKfõ'
m%Yakfha fldgia yd wkqfldgiaj, myiq;dj
myiq;dj
-26-
19% 14%
5% 1% 2% 0% 0%
13% 17%
12%
0
10
20
30
40
50
60
70
80
90
100
(i) (ii) (iii)
(a) (b) (c) (d) (e) (f) (g) (h)
4 4 m%Yakfhys fldgia yd wkqfldgia
hxudmdxlhfiùugwod<m%%Yakhlajkfuys(a) iy(b) fldgiaj,Wm˙umyiq;dj19% yd14%fõ'
fuum%%Yakfhys hxudmdxlhgwod<fldgia w;˙ka by<umyiq;djla±lajQQfha fuufldgia
foljkw;rtajdhxudmdxlfhauQQ,slisoaOdka;hms<sn|wjfndaOhueknef,kfldgiafolls'
m%%dfhda.slm¯CIKhl°wd;kHm%%;Hdn,hydúl%%shdjw;riïnkaO;djms<sn|wfmaCIlhd;=<
wfklafldgiaj,gidfmaCIjie,lshhq;=idOkuÜgulamj;S'(c), (d), (e), (f), (g)(i) fldgiaj,myiq;djms<sfj,ska5%, 1%, 2%, 0% yd0% jQQwjuw.hkafõ'm¯CIKfha°,nd.kakdo;a;
u.ska"wod<úp,Hhkay∫kdf.km%%ia;drh,nd.ekSui|yd°we;siólrKhilials¯ug;a"
m%%ia;d˙ll%%uhlaweiq˙kalsishïfN!;slrdYshlafiùu"úp,Hhkafjkals¯u"m%%ia;drfhaiajNdjh
;r®ldKql+,j,nd.ekSugisiqkayqreùfkd;sîufufiawjumyiq;djlajdr®;dùugfya;=ùwe;'
m%%dfhda.slm¯CIKj,fh°u"tysm%%;sM,.◊;uhisoaOdka;j,gwkqjyeisfrknjy∫kd.ekSu
ydtawdY%%s;jiïnkaO;df.dvke.Sugisiqkafhduql<hq;=h'
wksjdr®hhm%%Yakhlajqjofuum%%Yakhi|ydwfmaCIlhkaf.ka6% lm%%;sY;hlams<s;=reimhd
fkd;sîfuka fmkS hkafka modr®:fha hdka;%%sl .=K ye≤¯u i|yd fjka ù we;s ld,h wvqùu
fya;=fjka wfmaCIlhska fuu úIh fldgi i|yd jvd;a wjOdkhla fhduq fkdls¯uhs' úIh
ksr®foaYhgwvx.=ishÆm%%dfhda.slm¯CIKydisoaOdka;ms<sn|wjfndaOhlawe;slr.ekSugisiqka
fhduql<hq;=fõ'm%%dfhda.slm¯CIKj,gwod<m%%Yakj,gjeäjYfhkams<s;=reiemhSugfhduq
lrùuisiqkaf.aidOkuÜguby<kexúhyelsh'
- 42 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
B fldgi - rpkd
5 m%Yakh
5. (a) (i) uOHkH†. = Σ
ni=1
n
xi (,l=Kq 02)
= 1001220 (,l=Kq 03)
= 500.6 cm (5.006 m) (ms<s;=r + tallh = ,l=Kq 04 + 01) fjk;a ksjer† l%%u i|yd o ,l=Kq fokak'
- 43 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
(ii) w.h$fi'ó' ixLHd;h iuqÉÑ; ixLHd;h
495 1 1497 1 2498 3 5499 2 7500 2 9501 4 13502 3 16503 1 17504 1 18505 1 19506 1 20
(ishÆu ixLHd;hka i|yd = ,l=Kq 05) (ishÆu iuqÉÑ; ixLHd;hka i|yd = ,l=Kq 10)
(iii) ud;h = 501 cm (ms<s;=r + tallh = ,l=Kq 04 + 01)
uOHia:h = (n + 1)th
2 = 10.5th = 10th + 0.5(11th -10th) (,l=Kq 05)
= 501 cm (ms<s;=r + tallh = ,l=Kq 04 + 01) l+rejeäm%%udKhl†.501 cmfõ'^ud;h& (,l=Kq 05) 501 cm u.skal+rej,†.iudkfldgiafollgfnokq,efí'^uOHia:h& (,l=Kq 05)
(iv) Q1 = (n + 1)th
4 w.h
= 214 = 5.25th w.h + 5th + 2.5(6th-5th) (,l=Kq 02)
= 498 + 0.25 × 1 (,l=Kq 03)
= 498.3 cm (498.25 cm) (ms<s;=r + tallh = ,l=Kq 04 + 01)
Q3 = 3 (n + 1)th
4 w.h
= 3 × 214 = 15.75th w.h = 15th + 0.75(16th-15th) (,l=Kq 02)
= 502 + 0.75 × 0 (,l=Kq 03)
= 502 cm (ms<s;=r + tallh = ,l=Kq 04 + 01)
(v) wka;Yap;=r®:lmrdih = Q3 - Q1
= 502 - 498.3 (,l=Kq 02)
= 502 - 498.25 (,l=Kq 03)
= 3.7 cm fyda3.75 cm fyda3.8 cm (ms<s;=r + tallh = ,l=Kq 04 + 01) kshe†fhaf,dayl+rej,skauOHfha50% la3.7 cm fyda3.75 cm fyda3.8 cm mrdihlmsysghs' (,l=Kq 05)
- 44 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
(vi) mka;s m%%dka;rh ixLHd;h" f mka;s ,l=K wm.ukh" d f d495 - 497 2 496 - 3 - 6498 - 500 7 499 = A 0 0501 - 503 8 502 3 24504 - 506 3 505 6 18
(ixLHd;h = ,l=Kq 05) (wm.ukh = ,l=Kq 05) (ixLHd;h × wm.ukh (f d) = ,l=Kq 05)
uOHkHh = A + Σ fdΣ f (,l=Kq 02)
= 499 + 3620 (,l=Kq 03)
= 500.8 cm (ms<s;=r + tallh = ,l=Kq 04 + 01) úl,am ms<s;=r ( mka;s m%%dka;rh ixLHd;h" f mka;s ,l=K wm.ukh" d f d
495 - 497 2 496 - 6 - 6498 - 500 7 499 - 3 - 3501 - 503 8 502 = A 0 0504 - 506 3 505 3 3
(ixLHd;h = ,l=Kq 05) (wm.ukh = ,l=Kq 05) (ixLHd;h × wm.ukh (f d) = ,l=Kq 05)
uOHkHh = A + Σ fdΣ f (,l=Kq 02)
= 499 + (-24)
20 (,l=Kq 03)
= 500.8 cm (ms<s;=r + tallh = ,l=Kq 04 + 01)
5(a) : ,l=Kq 110
(b) (i) mka;sfha by< udhsu iuqÉÑ; ixLHd;h
59.5 079.5 699.5 14119.5 27139.5 32159.5 36179.5 39199.5 40
- 45 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
059.5 79.5 99.5 119.5 139.5 179.5159.5 199.5
20
10
30
40
iuqÉÑ; ixLHd;h
mka;sfha by< udhsu
(ksjer† LKavdxl i|yd 01 × 8 = ,l=Kq 08) (ksjer† wCI i|yd 02 × 2 = ,l=Kq 04) (m%%ia;drfha yevh i|yd = ,l=Kq 08)
(ii) 100.5 gwvqfiajlixLHdj = 14.5isg 14.9 olajd 100.5 gjeäfiajlixLHdj = 40 - 14.5fyda 40 - 14.9 = 25.1isg 25.5 olajd (,l=Kq 03)
100.5 gjeäfiajlixLHdjf.am%%;sY;h = 25.540 × 100 fyda 25.1
40 × 100 (fn°u" ,l=Kq 05) (100 ka .=K ls¯u" ,l=Kq 05)
= 62.75% isg63.75%olajd (ms<s;=r + m%%;sY; ,l=K = ,l=Kq 04 + 01) úl,am ms<s;=r (
y wlaIhkej;m˙udKhgie,lSuu.skaRcqjums<s;=re,nd.ekSu
m%%;sY;h 100.5 gwvq = 36.25isg 37.25 (,l=Kq 10) m%%;sY;h 100.5 gjeä = 62.75isg 63.75 (,l=Kq 10)
5(b) : ,l=Kq 40
m%%Yak wxl 5 i|yd uqΩ ,l=Kq 150
- 46 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
5 jk m%Yakhg ms<s;=re iemhSu ms<sn| iuia; ks¯ÈK" ks.uk yd fhdackd (
mia jk m%Yakh f;dardf.k we;s ms˙i 71%ls' fuum%Yakhgysñ,l=Kqm%udKh150ls'bka,l=Kq 0 - 37m%dka;rfha53%lao ,l=Kq 38 - 75m%dka;rfha35%lao ,l=Kq76 - 113m%dka;rfha11%lao ,l=Kq114 - 150m%dka;rfha 1%lao,l=Kq,ndf.kwe;'
fuum%Yakhg,l=Kq114 fydaBgjvd,ndf.kwe;sms˙i1%la jk w;r" wh≥ïlrejkaf.ka 53%la u ,ndf.kwe;af;a37fydaBgjvdwvqfjks'
m%Yakh i|yd ,l=Kq ,nd we;s wdldrh
-19-
00 - 37 53% 38 - 75
35%
76 - 113 11%
114 - 150 1%
fuu m%Yakh wkqfldgia 8lska iukaú; jkw;rbkawkqfldgiaish,af,aumyiq;dj35%gjvdwvqh' fuum%Yakfha ≥Ialruwkqfldgi(b)(ii)h'myiquwkqfldgi(a)(ii) jkw;rtysmyiq;dj35%ls'fldgiaish,af,aumyiq;dj35%fydaBgwvqùufuum%Yakh;=<olakg,efnkúfYaI;;a;ajhls'
m%Yakfha fldgia yd wkqfldgiaj, myiq;dj
myiq;dj
-26-
33% 35%
27% 28% 23% 25%
19% 18%
0
10
20
30
40
50
60
70
80
90
100
(i) (ii) (iii) (iv) (v) (vi) (i) (ii)
(a) (b)
5 5 m%Yakfhys fldgia yd wkqfldgia
B fldgfiawe;s.◊;hm%%Yakfoflka(5) jkm%%Yakhjeäms˙ilaf;dardf.kwe;'fuum%%Yakfhaiuia;f;dard.ekSu71%lajqjo"tysmyiq;dj25%ls'fuyswkqfldgiaish,af,aumyiq;dj35%
fydaBgwvqùwe;'bf.kqïb.ekaùïl%%shdj,sfha°wfmaCIlhkagud;h"uOHia:hyduOHkHh
hkrdYSka.Kkhlrkwdldrhms<sn|juQQ,slffioaOdka;sl±kquydiólrKj,gwdfoaY
lrùfïydiqΩls¯fïwNHdij,ksr;lrùfukaidOkuÜguby<kexúhyel'oYuwdY%%s;iqΩ
ls¯ïj,°wfmaCIlhkaolajkwvqidOkuÜguwNHdi,nd°uu.skau`.ye˙hyel'
(b)(i) yd (ii) wkqfldgia wvqumyiq;djla olajd we;' fuys°imhk,o o;a;" wjYH;dj wkqjj.=jlg ilials¯u" thska m%%ia;dr.; ls¯u ms<sn| wNHdilrKh u.ska fuys° we;sjk .egÆ
u`.yrjd.ekSugfhdackdflfr®'ixLHdkúoHd;aulks.ukhkajevf,dalfha°Ndú;lrk
wdldrhms<sn|jbf.kqï-b.ekaùïl%%shdj,sfha°isiqkagwjOdrKhlrùuks;rwNHdifha
fh°u"fujeks.egΩu`.yrjd.ekSugWmldrfõ'
- 47 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
6 m%Yakh
- 48 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
6. (a) (i) 60° (,l=Kq 05)
(ii) AOB ;%%sfldaKfhajr®.M,h = 12 × 3.5 × 3.5 × sin 60°
= 12 × 3.5 × 3.5 ×
√32 (,l=Kq 03)
= 5.3 cm2 (ms<s;=r + tallh = ,l=Kq 02)
∴ Ivi%%fhajr®.M,h = 5.3 × 6 (,l=Kq 03)
= 31.8 cm2 (ms<s;=r + tallh = ,l=Kq 02)
wr®OjD;a;6 ysjr®.M,h = jD;a;3 ysjr®.M,h = 3 × 227 × (3.5
2 )2 (,l=Kq 03)
= 28.9 cm2 (ms<s;=r + tallh = ,l=Kq 02)
,dxPkfhaiïmQQr®Kjr®.M,h = 28.9 + 31.8 (,l=Kq 05)
= 60.7 cm2 (ms<s;=r + tallh = ,l=Kq 04 + 01)
6(a) : ,l=Kq 30
(b) tan 30° = CD20 + BD tan 45° = CD
BD (05 × 2 = ,l=Kq 02)
tan 30° = CD20 + CD
tan 45°
20 tan 30° + tan 30°tan 45°
CD = CD (,l=Kq 05)
CD = 20 tan 30°
1 - tan 30°tan 45°
=
20/√3
1 - (1/√3) (,l=Kq 05)
= 27.4 m (ms<s;=r + tallh = ,l=Kq 04 + 01)
6(b) : ,l=Kq 25
(c) (ii) OAD ;%%sfldaKfhafCIa;%%M,h = 12 × 10 × 18 × sin 30° = 12 × 18 × 10 × 12 (,l=Kq 03)
= 45 m2 (,l=Kq 02)
ADB ;%%sfldaKfhafCIa;%%M,h = 12 × 18 × 24 × sin 45° = 12 × 18 × 24 × 1
√2 (,l=Kq 03)
= 153.2 m2 (,l=Kq 02)
DBC ;%%sfldaKfhafCIa;%%M,h = 12 × 16 × 24 × sin 60° = 12 × 16 × 24 ×
√32 (,l=Kq 03)
= 166.1 m2 (,l=Kq 02)
- 49 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
bvfïfCIa;%%M,h = 45 + 153.2 + 166.1 (,l=Kq 05)
= 364.3 m2 (ms<s;=r + tallh = ,l=Kq 04 + 01)
6(c) : ,l=Kq 25
(d) √162+42+32 (,l=Kq 10)
= 16.8 cm (ms<s;=r + tallh = ,l=Kq 04 + 01)
úl,am ms<s;=r (
√162+42 = √ 256 + 16 = 16.49 cm (,l=Kq 05)
√ 16.492 + 32 = √ 271.9 + 9 (,l=Kq 05)
= 16.8 cm (ms<s;=r + tallh = ,l=Kq 04 + 01)
6(d) : ,l=Kq 15
(e) A ysm˙udj = p r2 h = p × 902 × 150 (,l=Kq 03)
= 1215000 p cm3 (,l=Kq 02)
C ysm˙udj = p r2 h = p × 602 × 5 (,l=Kq 03)
= 18000 p cm3 (,l=Kq 02)
B ysm˙udj = 13 × p × 902 × (25 + h) - 13 × p × 602 × h (,l=Kq 10)
θ
θ60 cm25 cm
h
90 cm
tan θ° = h60 = h + 25
90 (,l=Kq 10)
h = 50 cm (,l=Kq 05)
B ysm˙udj = 142500 p cm3 (,l=Kq 05)
uqΩm˙udj = 1215000 p + 18000 p + 142500 p (,l=Kq 10)
= 1375500 p cm3 (ms<s;=r + tallh = ,l=Kq 04 + 01)
6(e) : ,l=Kq 55
m%%Yak wxl 6 i|yd uqΩ ,l=Kq 150
- 50 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
6 jk m%Yakhg ms<s;=re iemhSu ms<sn| iuia; ks¯ÈK" ks.uk yd fhdackd (
yhjkm%Yakhf;dardf.kwe;sms˙i65%ls'm%YakhgysñuqΩ,l=Kqm%udKh150ls'bka,l=Kq 00 - 37m%dka;rfha66%lao ,l=Kq 38 - 75m%dka;rfha30%lao ,l=Kq76 - 113m%dka;rfha4%lao ,l=Kq114 - 150m%dka;rfha0%lao,l=Kq,ndf.kwe;'
fuum%Yakhg,l=Kq114gjvdlsisfjl=,ndfkdue;sw;r" wh≥ïlrejkaf.ka 66%la ,ndf.k we;af;a,l=Kq37 fydaBgjvdwvqfjks'
m%Yakh i|yd ,l=Kq ,nd we;s wdldrh
-19-
00 - 37 66%
38 - 75 30%
76 - 113 4%
114 - 150 0%
fuu m%Yakh wkqfldgia 6la we;s w;r" bkawkqfldgia 5lu myiq;dj 40%g jvd wvq h'fuum%Yakfhawmyiquwkqfldgi(d) h'myiquwkqfldgi(a)(i) jkw;rtysmyiq;dj86%ls'
m%Yakfha fldgia yd wkqfldgiaj, myiq;dj
myiq;dj
-26-
86%
32%
23%
32%
12% 16%
0
10
20
30
40
50
60
70
80
90
100
(i) (ii)
(a) (b) (c) (d) (e)
6 6 m%Yakfhys fldgia yd wkqfldgia
yhjkm%%Yakh f;dard .ekSfï m%%;sY;h 65%ls'kuq;a tu m%%Yakfha myiq;dj 24%la ù we;'
wh≥ïlrejkaf.ka96%lm%%udKhlau,l=Kq,ndwe;af;a75gjvdwvqfjks'
wfmaCIlhskaf.a Wmfoia ms<sme°fï ≥r®j,;djla fuys° wkdjrKh úh' §.Kkh ls¯fuka
,efnkms<s;=rem<uqoYuia:dkhg,ndfokak¶hkWmfoiafldgifkdi,ldye¯ufya;=fjka
.Kkhkaf.awjidkms<s;=rg,`.dùugfkdyelsùuksid.Kkfhawjidkms<s;=rgwod<,l=Kq
,nd.ekSugwiu;aùwe;'
bf.kqï-b.ekaùïl%%shdj,sfhys°isiqkaf.aúYaf,aIKyelshdju;=lr.;hq;=h'(e) fldgfia"B" fla;= „kaklhla f,i y∫kdf.kke;' tfiau >k jia;=j, jr®.M, m˙ud ms<sn| iQQ;%%ksjer†jNdú;dlrfkd;sîuksidms<s;=riïmQQr®Kls¯ugfkdyelsùwe;snjW;a;rm;%%m¯CId
ls¯fï°olakg,enq◊'ixhqla;>kjia;=j,m˙udjydjr®.M,hwdY%%s;jjeämqrwNHdilrKfha
fh°uu.skawfmaCIlhkaf.aidOkuÜguby<kxjd.ekSugfhdackdflfr®'
- 51 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
C fldgi - rpkd7 m%Yakh
7. (a) (i) „ùka ;=< wdrïNl øjH f,i c,h" CO2, N2/N, P iy ysre t<shjeksøjHWmfhda.S
´kEu folla
lrf.kksIamdokh lrk ixfhda. (05 × 3 = ,l=Kq 15)
(ii) m%%d:ñl m˙jD;a;c oaú;Sl m˙jD;a;c
„úfhl=f.ameje;aug$jr®Okhg$úlikhg$m%%ckkhgRcqjuiïnkaOfõ'
„úfhl=f.ameje;aug$jr®Okhg$úlikhg$m%%ckkhgRcqjuiïnkaOfkdfõ'
„ú;ld,hmqrduksIamdokhfõ' m˙k;$úfYaIwjêfha°ksIamdokhfõ'
úYd,m%%udKj,skaksIamdokhfõ' l=vdm%%udKj,skaksIamdokhfõ'
iEu„úfhla;=<uksIamdokhfõ' iuyr„ùka;=<muKlaksIamdokhfõ'
RcqjuuQQ,slix>glj,skaksIamdokhfõ' m%%d:ñlm˙jD;a;cu.ska$m%%d:ñlm˙jD;a;cúlsrKhu.skaksIamdokhfõ'
(fomiu i|yd 10 × 2 = ,l=Kq 20)
- 52 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
(iii) lDIsúlr®Ilf,i (,l=Kq 05)
(iv) c,hbj;als¯u$isfg%%dfk,a,df;,afjkalr.ekSu' (,l=Kq 10)
(v) tysms˙is≥njksr®Khls¯ug$mj;skix>glixLHdjfidhd.ekSug (,l=Kq 10)
(vi) by<ms˙is≥nj$by<M,odj$wvqksIamdokms˙jeh$idudkHWIaK;ajfha°iy
mSvkfha°is≥l<yelsh'$md˙i˙ln,mEuwjufõ' (´kEu follg 10 × 2 = ,l=Kq 20)
7(a) : ,l=Kq 80
(b) (i) CO2, H2O, N2O (m<uq ms<s;=re folg muKla 05 × 2 = ,l=Kq 10)
(ii) NO2 / N2O5 / N2O4 / SO2 / SO3 (m<uq ms<s;=re folg muKla 05 × 2 = ,l=Kq 10)
(iii) úIumrudKqlfydamrudKq;=klafydaBgjvdwe;s jdhqks;HoaúO%%ej>QQr®Khlaiys; N+ñwjia:dfõO%%eùhfkdjqk;awKqlïmkhjkúgoaúO%%ejhlawe;sjdhQQkafõ' (05 × 3 = ,l=Kq 15)
(iv) wuqøjHNdú;hwvqls¯u"m%%;spl%%SlrKh"NdKavm%%;sksr®udKh (05 × 3 = ,l=Kq 15)
(v) >kwmøjHNdú;fhka„jjdhqjksIamdokh^m%%;spl%%SlrKh& Yla;shksmoùug„jjdhqjfhdod.ekSu^wuqøjHNdú;hwvqls¯u& (05 × 4 = ,l=Kq 20)
7(b) : ,l=Kq 70
m%%Yak wxl 7 i|yd uqΩ ,l=Kq 150
- 53 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
7 jk m%Yakhg ms<s;=re iemhSu ms<sn| iuia; ks¯ÈK" ks.uk yd fhdackd (
y;a jk m%Yakh jeä u ms˙ila tkï 75%la muKf;dardf.kwe;'fuum%Yakhgysñ,l=Kqm%udKh150ls'bka,l=Kq 0 - 37m%dka;rfha59%lao ,l=Kq 38 - 75m%dka;rfha33%lao ,l=Kq76 - 113m%dka;rfha7%lao ,l=Kq114 - 150m%dka;rfha1%lao,l=Kq,ndf.kwe;'
fuum%Yakhg,l=Kq114 fydaBgjvd,ndf.kwe;sms˙i1%la jk w;r" wh≥ïlrejkaf.ka 59%la u ,ndf.kwe;af;a37fydaBgjvdwvqfjks'
m%Yakh i|yd ,l=Kq ,nd we;s wdldrh
-19-
00 - 37 59%
38 - 75 33%
76 - 113 7%
114 - 150 1%
7 jkm%Yakhwkqfldgia11lawe;sw;r"bkawkqfldgia2lmyiq;dj40%gjvdjeäh'fuum%Yakfhawmyiquwkqfldgiùwe;af;a(b)(v) h' myiq u wkqfldgi ù we;af;a(b)(i) jk w;r tys myiq;dj 68%ls' fuyswkqfldgiayhlumyiq;dj30%gwvqùulafmkakqïlrhs'
m%Yakfha fldgia yd wkqfldgiaj, myiq;dj
-26-
17%
27%
19%
28% 32%
35%
68%
31%
5%
40%
3%
0
10
20
30
40
50
60
70
80
90
100
(i) (ii) (iii) (iv) (v) (vi) (i) (ii) (iii) (iv) (v)
(a) (b)
7 7 m%Yakfhys fldgia yd wkqfldgia
myiq;dj
ridhkúoHdm%%Yakfoflka7jkm%%Yakhf;dardf.kwe;sms˙i75%lajeksjeäm%%;sY;hls'kuq;a
fuysmyiq;djh27%ls'fuum%%Yakhiliaùwe;af;aiajNdjksIamdokiy;dCI◊l†hqKqjyd
m˙irhhktallweiqfrkatysisoaOdka;mokïlr.ksñks'
fuys(a) fldgfiysmyiq;djhwvqufldgiajkafka(a)(i) yd(a)(iii) h'iajNdjksIamdokixl,amhwdY%%s;ksjer†wr®:±laùï"isoaOdka;fldgia"ksiaidrKmshjrksjer†wkqms<sfj,skau;l;nd
.ekSfïwjYH;djfuhskameye†,sfõ'
(b)(iii) yd(b)(v) hkfldgiaj,myiq;djh5%yd3% fõ'fuufldgioiïmqr®Kfhkauu;lh
Wr.d n,k fldgils' fuys° wfOdarla; lsrK wjfYdaIKhlrk jdhQQkaf.a ,CIK±kf.k
isàums<s;=re °ui|yd m%%udKj;a h' tfy;a fuu,CIKhu;lfha ;nd.ekSug wfmdfydi;a
ùu"taflfrysjeäwjOdkhlafhduqfkdls¯uksidmyiq;djhwvqùwe;'bf.kqï-b.ekaùï
l%%shdj,sfhys ° isiqkaf.a wdjr®ck Yla;sh iy jdÑl iy ,sÅ; m%%ldYk Yla;sh jr®Okh jk
wdldrfhal%%shdms<sfj<lawkq.ukhls¯ugfhdackdflfr®'
- 54 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
8 m%Yakh
8. (a) (i) n%%hskaødjKh"f;,a"Ca5(PO4)3X^wemghsÜ& (m<uq ms<s;=re ;=k i|yd 05 × 3 = ,l=Kq 15)
(ii) úYd,jYfhka,nd.;yelsùu"by<ixY=oaO;dj"myiqfjka<`.dúhyelsùu' (´kEu follg 05 × 2 = ,l=Kq 10)
(iii) c,fhaødjH;djb;dwjuùuksid (,l=Kq 10)
(iv) wemghsÜL◊chwjYHm%%udKhgl=vqls¯u (,l=Kq 05) wï,hfhdodf.kHCl c,wødjHle,aishïfmdiafµaÜ(Ca3(PO4)2)" c,ødjHle,aishïvhsyhsv%%ckafmdiafµaÜ(Ca(H2 PO4)2)njgm;als¯u' (05 × 2 = ,l=Kq 10) fyda
2Ca5(PO4)3X + 14HCl 3Ca(H2PO4)2 + 7CaCl2 + 2HX c,dlr®Ylnjwvqls¯ugwefudakshï,jKtlals¯u (05 × 2 = ,l=Kq 10)
- 55 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
(v) c,uQQ,dY%%j,fmdaIlwêlùuu.skawe,a.Sjr®Okhùu'tu.skac,c„ùkag wys;lrm˙irhlawe;sùu' (05 × 3 = ,l=Kq 15) fmdfydrj,we;s.jKnerf,day$N+.;c,hgc,uQQ,dy%%j,tl;=ùu$ ksidc,fhalGßk;ajhby<hdu$c,hNdú;hgfkdiq≥iqùu (05 × 3 = ,l=Kq 15)
8(a) : ,l=Kq 90
(b) (i) whkyqjudreji|yd H2 iyCl2 w;rm%%;sl%%shdjje<elaùui|yd fldaIh;=<HCl iE°uje<elaùui|yd (´kEu fya;=jlg ,l=Kq 10)
(ii) CId¯h;dj(NaOH) wêl,jK;dj(NaCl) (05 × 2 = ,l=Kq 10)
(iii) jdis ( ,dNodhlùu$uQQ,slm%%d.aOkhwvqùu$,nd.ekSfïmyiqj (´kEu fya;=jlg ,l=Kq 05)
wjdis ( c,hwdï,slùu"wm%%ikakiqj|la$Cl2 iqj|la±kSu" w;=reM,c,hgtl;=ùu^c,„jdKqyrKwmøjH& (´kEu fya;=jlg ,l=Kq 05)
8(b) : ,l=Kq 30
(c) (i) CId,lj,O%%eùhi,afµaÜldKavhlawvx.=ùufyda O%%eùhwhkslldKavwvx.=ùu (,l=Kq 10)
(ii) jdis ( lGßkc,hyuqfõfYdaOll%%shdjbgqls¯ufydaby<fYdaOlyelshdj (,l=Kq 10)
wjdis ( ffcjydhkhg,lafkdùuksidm˙ir¥Ilhlaùu (,l=Kq 10)
8(c) : ,l=Kq 30
m%%Yak wxl 8 i|yd uqΩ ,l=Kq 150
- 56 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
8 jk m%Yakhg ms<s;=re iemhSu ms<sn| iuia; ks¯ÈK" ks.uk yd fhdackd (
wgjkm%Yakhf;dardf.kwe;sms˙i57%ls'kuq;aiuia;myiq;dj23%ls'fuum%Yakhgysñ,l=Kqm%udKh150ls'bka,l=Kq 0 - 37m%dka;rfha61%lao ,l=Kq 38 - 75m%dka;rfha31%lao ,l=Kq76 - 113m%dka;rfha7%lao ,l=Kq1 14 - 150m%dka;rfha1%lao,l=Kq,ndf.kwe;'
fuum%Yakhg,l=Kq114 fydaBgjvd,ndf.kwe;sms˙i1%la jk w;r" wh≥ïlrejkaf.ka 61%la u ,ndf.kwe;af;a,l=Kq37 fydaBgjvdwvqfjks'
m%Yakh i|yd ,l=Kq ,nd we;s wdldrh
-19-
00 - 37 61%
38 - 75 31%
76 - 113 7%
114 - 150 1%
fuum%Yakfhawkqfldgia10lawe;sw;r"myiq;djjeäu wkqfldgi (a)(iii) jk w;rtysmyiq;dj36%ls'myiq;djwvquwkqfldgi(a)(iv), (c)(i) jkw;rtajdfhamyiq;dj 9%ls' fuys fldgia ish,a,u40%lgwvqmyiq;djlafmkakqïlrwe;'
m%Yakfha fldgia yd wkqfldgiaj, myiq;dj
-26-
29% 33% 36%
9%
30% 27%
20% 19%
9%
16%
0
10
20
30
40
50
60
70
80
90
100
(i) (ii) (iii) (iv) (v) (i) (ii) (iii) (i) (ii)
(a) (b) (c)
8 8 m%Yakfhys fldgia yd wkqfldgia
myiq;dj
lr®udka;hlai|ydwjYHiajNdúlwuqøjHms<sn|±kqu"iajNdúlm%%Njms<sn|±kquiyhï
lr®udka;hlfhfokakd jQQ ridhksl" fN!;sluQQ,Or®ums<sn|±kquWr.dnef,k.egÆjls'
´kEulr®udka;hlgwod<by;lreKqms<sn|wjOdkhfhduqls¯fukatawdY%%s;jiliajk
.egÆjlgms<s;=ref.dvk.d.ekSugmyiqjkqwe;'
ksoiqk(wemghsÜj,ska fmdfydr ksIamdokh i,luq' fuys wuqøjH jkafka wemghsÜ" c,h
fydaidkaøH2SO4/HNO3/HCl h'kuq;afuysiajNdúlwuqøjHjkafkawemghsÜh'th,nd.kakd;ekfmd<jh'thm%%Njhhs'wï,iajNdúlwuqøjHfkdfõ'fuys°fhfok
ridhksl"fN!;sluQQ,Or®ujkafka"
1. wemghsÜl=vqls¯u 2. ødjH;dj(Solubility)
fïwdldrhgwfmaCIlhskatlatlalr®udka;hlgwod<wuqøjH"m%%Nj"ridhksl"fN!;sll%%shdj,s"
m%%fhdackiyw;=reM,ms<sn|±kquiïmsKavkhlr.ekSugfCIa;%%pd˙ldjeksm%%dfhda.sll%%u
Wmfhda.Slr.ekSufhdackdflfr®'
- 57 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
D fldgi - rpkd9 m%Yakh
9. (a) i;Hm%%idrK;dj=oDYHm%%idrK;dj+ n∫fkam%%idrK;dj (,l=Kq 10)
9(a) : ,l=Kq 10
(b) (i) i;Hm%%idrKh" VR = V γ R Δθ
= 120 cm3 × 2 × 10-4°C-1 × (60°C - 30°C) (,l=Kq 05)
= 0.72 cm3 (ms<s;=r + tallh = ,l=Kq 04 + 01)
γ A = γ R - 3a (,l=Kq 05)
= 2 × 10-4°C-1 - 3 × 2 × 10-5°C-1 (,l=Kq 03)
= 1.4 × 10-4°C-1 (,l=Kq 02)
oDYHm%%idrKh" VA = V γ A Δθ
= 120 cm3 × 1.4 × 10-4°C-1 × (60°C - 30°C) (,l=Kq 05)
= 0.5 cm3 (ms<s;=r + tallh = ,l=Kq 04 + 01)
- 58 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
(ii) 60°C °n∫fkam;=f,ajr®.M,h = A0 [1 + b Δθ] fydaA0 [1 + 2a Δθ] (,l=Kq 02)
= 12 (1 + 2 × 2 × 10-5°C-1 × 30°C) (,l=Kq 03)
= 12.01 cm2 (,l=Kq 03)
øjfhaWi = 60°C °øjm˙udj60°C °n∫fkam;=f,ajr®.M,h
(,l=Kq 02)
= 120 + 0.72
12.01 = 120.7212.01 (,l=Kq 05)
= 10.05 cm (ms<s;=r + tallh = ,l=Kq 04 + 01)
(iii) 30°C °øjfhaialkaOh = 120 × 10-6 × 1200 (,l=Kq 05) = 14.4 × 10-2 kg (,l=Kq 05)
wjYH;dmm%%udKh = n∫kWrd.kakd;dmh+ øjhWrd.kakd;dmh
fyda Q = CΔθ + mcΔθ (,l=Kq 10) = 400 J°C-1 (60°C - 30°C) + 14.4 × 10-2 kg × 4000 J kg °C-1 (60°C - 30°C) (,l=Kq 05 + 05)
= 29280 J fyda 29.28 kJ (ms<s;=r + tallh = ,l=Kq 04 + 01)
(iv) P × t = Q (,l=Kq 02) 103 × t = 29280 (,l=Kq 08) t = 29.28 s (ms<s;=r + tallh = ,l=Kq 04 + 01)
(v) R = V 2P
(,l=Kq 02)
= 2302
1000 (,l=Kq 03) = 52.9 Ω (ms<s;=r + tallh = ,l=Kq 04 + 01)
(vi) kjld,ht' kï"
V 2P
× t' = Q (,l=Kq 02)
2002
52.9 × t' = 29280 (,l=Kq 08)
t' = 38.7 s (ms<s;=r + tallh = ,l=Kq 04 + 01)
(vii) P × t = m × L (,l=Kq 02) 1000 × t = 14.4 × 10-2 kg × 2000 × 1000 J kg-1 (,l=Kq 04 + 04) t = 288 s = 4.8 min (ms<s;=r + tallh = ,l=Kq 04 + 01)
9(b) : ,l=Kq 140
m%%Yak wxl 9 i|yd uqΩ ,l=Kq 150
- 59 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
9 jk m%Yakhg ms<s;=re iemhSu ms<sn| iuia; ks¯ÈK" ks.uk yd fhdackd (
kjjkm%Yakhf;dardf.kwe;sms˙i26%ls'm%Yakhgysñ,l=Kqm%udKh150ls'bka,l=Kq 0 - 37m%dka;rfha86%lao ,l=Kq 38 - 75m%dka;rfha9%lao ,l=Kq76 - 113m%dka;rfha4%lao ,l=Kq114 - 150m%dka;rfha1%lao,l=Kq,ndf.kwe;'
fuum%Yakhg,l=Kq114 fydaBgjvd,ndf.kwe;sms˙i 1%la jk w;r" wh≥ïlrejkaf.ka 86%la u,ndf.kwe;af;a,l=Kq37 fydaBgjvdwvqfjks'
m%Yakh i|yd ,l=Kq ,nd we;s wdldrh
-19-
00 - 37 86%
38 - 75 9%
76 - 113 4%
114 - 150 1%
fuum%Yakhwkqfldgia8lskaiukaú;jkw;rtlawkqfldgilgmuKla30%blaujd,l=Kq ,nd we;' fuu m%Yakfha wmyiq ufldgi(b)(vi) fõ'myiquwkqfldgi(a) jk w;rtysmyiq;dj32%ls'
m%Yakfha fldgia yd wkqfldgiaj, myiq;dj
-26-
32%
13%
6%
16%
5%
15%
0% 1% 0
10
20
30
40
50
60
70
80
90
100
(i) (ii) (iii) (iv) (v) (vi) (vii)
(a) (b)
9 9 m%Yakfhys fldgia yd wkqfldgia
myiq;dj
fuys(a) fldgigmuKlamyiq;dj32%lajkw;rbkaúuid;snqfKai;Hm%%idrK;djydoDYHm%%idrK;djw;riïnkaOhhs'
(b) yswkqfldgiaish,a,u20%gjvdwvqmyiq;djlaolajhs' (b)(iv), (b)(v), (b)(vi) yd (b)(vii) fldgiaj,°talllsysmhlisoaOdka;Ndú;fhka.egΩúi£ugwjia:dji,idwe;'fuys°uQQ,sl±kquyduQQ,Or®ums<sn|wvqwjfndaOhlemSfmks◊'
bf.kqïb.ekaùïl%%shdj,sfhafhfokúgúIhlreKqidlÉPdls¯ufukauúIhfCIa;%%hlm%%Yakielishyelswdldrms<sn|jidlÉPdls¯um%%Yakj,gms<s;=reiemhSfïmyiq;djjeälr.ekSugWmfhda.Slr.;yelsh'
Wod( * uQQ,Or®u" m%%fïhh"kshujeks w;HjYHfhkauu;l;ndf.kms<s;=re,súhhq;=fldgia
* fïjdu.skaf.dvke.+iólrK"iQQ;%%ksjer†jNdú;hydwdfoaYls¯u * ksjer†.◊;iqΩls¯ïydwjidkms<s;=reúoHd;auljoYuia:dkj,giemhSuyd
tallksjer†j±laùu
fuulreKqms<sn|bf.kqïb.ekaùïl%%shdj,sfha°wksjdr®hfhkauwjOdkhfhduqúhhq;=h'Bgwu;rjmiq.shúNd..egÆj,gms<s;=reiemhSuu.skaom%%ùK;djjeälr.;yel'iïu;iQQ;%%Ndú;fhka.egÆúi£ugksmqK;djhla,nd.;hq;=h'
- 60 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
10 m%Yakh
10. (a) jia;=jlamQQr®KjYfhkafydawr®OjYfhka^iïmsOkhl<fkdyels"taldldr"ksYap,& ;r,hl.s,ajdwe;súg"tau;we;sjkWvql=ref;rmqu"tau.skaúia:dmkhlrwe;s ;r,m%%udKfhanrgiudkfõ' (,l=Kq 20)
10(a) : ,l=Kq 20
(b) (i) Vρg = (M + m) g (,l=Kq 02)
5 × 2 × 1020 × g = (2560 + m) g (,l=Kq 08)
m = 7640 kg (ms<s;=r + tallh = ,l=Kq 04 + 01)
(ii) 23
m%%udKhla.s,Swe;súgialkaOh = (7640 + 2560) kg = 10200 kg (,l=Kq 05)
hd;%%djfkd.sf,km˙†kejgord.;yelsWm˙uialkaOh = 10200 × 32
(,l=Kq 08)
= 15300 kg (,l=Kq 05)
wu;rialkaOh15300 - 10200 (,l=Kq 05) = 5100 kg (ms<s;=r + tallh = ,l=Kq 04 + 01)
úl,am l%%uh 1 ( 5 × 3 × 1020 × g = (10200 + m) g (iólrKfha jï mi = ,l=Kq 05) (iólrKfha ol=Kq mi = ,l=Kq 05) (iudk ls¯ug = ,l=Kq 05)
wu;rialkaOh"m = 5100 kg (ms<s;=r + tallh = ,l=Kq 04 + 01)
- 61 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
úl,am l%%uh 2 (
(M + m1) g = 2Aρg (,l=Kq 05) (M + m2) g = 3Aρg (,l=Kq 05) (m2 - m1) = Aρ = 5 × 1020 (,l=Kq 05) = 5100 kg (,l=Kq 05)
(iii) kej.s,SugwjYHwjuialkaOh = 5100 kg f;,aj,>k;ajh = 1000 × 0.75 = 750 kg m-3 (,l=Kq 05)
wjYHm˙udj = 5100750
= 6.8 m3 (,l=Kq 05) 0.1 m3 ms¯ugñks;a;=jla.;fõ' 6.8 m3 ms¯ug.;jkld,h= 1
0.1 × 6.8 (,l=Kq 05)
= ñks;a;=68 = 4080 s (ms<s;=r + tallh = ,l=Kq 04 + 01)
(iv) hd;%%dfõialkaOh = 2560 kg hd;%%dfõ>k;ajh = 2560 kg m-3 ∴ hd;%%dfõm˙udj = 1 m3 (,l=Kq 05)
fh†hhq;=wjun,h = mg - V'ρg (,l=Kq 05) = 2560 × 10 - 1 × 1020 × 10 (,l=Kq 05) = 15400 N (ms<s;=r + tallh = ,l=Kq 04 + 01)
(v) fh†hhq;=wjuldr®hm%%udKh = 15400 × 20 (,l=Kq 05)
= 308 kJ (ms<s;=r + tallh = ,l=Kq 04 + 01)
(vi) tiùfï°CIu;dj = m%%;sodkYla;shm%%OdkYla;sh
× 100 (,l=Kq 02)
= 308 kJ160 s
= 1.92 - 1.93 kW (ms<s;=r + tallh = ,l=Kq 04 + 01)
CIu;dj = 1.93 kW
5 kW × 100 (,l=Kq 05)
= 38.4 - 38.6% (ms<s;=r + tallh = ,l=Kq 04 + 01)
(vii) kefõ.=re;ajflakaøh^G&my<g.ekSui|ydhd;%%djm;=f<aNdrhla/|ùu fyda mSvkh$Wvql=ref;rmqu;=<s;ls¯ui|ydkejm;=f<ajr®.M,hjeälr.ekSu ^fomigwdOdrlfollaiïnkaOls¯fuka&
^úoHd;aul fya;=j 15"l%%shdj 10 = ,l=Kq 25)
10(b) : ,l=Kq 130
m%%Yak wxl 10 i|yd uqΩ ,l=Kq 150
- 62 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016
10 jk m%Yakhg ms<s;=re iemhSu ms<sn| iuia; ks¯ÈK" ks.uk yd fhdackd (
fN!;sl úoHd rpkd m%Yak w;˙ka wvq u m%;sYlhlams<s;=re imhd we;s m%Yakhhs' fuu m%Yakhg ms<s;=reimhd we;af;a 41%ls' m%Yakhg ysñ ,l=Kq m%udKh 150ls'bka,l=Kq 0 - 37m%dka;rfha90%lao ,l=Kq 38 - 75m%dka;rfha9%lao ,l=Kq76 - 113m%dka;rfha1%lao ,l=Kq114 - 150m%dka;rfha0%lao,l=Kq,ndf.kwe;'
fuum%Yakhg,l=Kq114gjvdlsisfjl=,ndfkdue;sw;r" wh≥ïlrejkaf.ka 90%la u ,ndf.k we;af;a,l=Kq37 fydaBgjvdwvqfjks'
m%Yakh i|yd ,l=Kq ,nd we;s wdldrh
-19-
00 - 37 90%
38 - 75 9%
76 - 113 1% 114 - 150
0%
fuum%Yakfhyswkqfldgia8lawe;sw;r"bkawkqfldgiaish,af,aumyiq;dj30%gjvd wvqh'myiquwkqfldgi(a)ùwe;sw;rtysmyiq;dj28%lafõ'wmyiquwkqfldgi(b)(iv) fõ'tysmyiq;dj4%ls'
m%Yakfha fldgia yd wkqfldgiaj, myiq;dj
myiq;dj
-26-
28%
7%
16% 13%
4%
15%
7%
16%
0
10
20
30
40
50
60
70
80
90
100
(i) (ii) (iii) (iv) (v) (vi) (vii)
(a) (b)
10 10 m%Yakfhys fldgia yd wkqfldgia
fuhwdlsñãiaf.auQQ,Or®uhwdY%%s;.egÆjlajkw;rwfmaCIhkaf.ka41%lam%%Yakhf;dardf.k
we;'m%%Yakfhamyiq;djùwe;af;a14%lmuKwvqm%%;sY;hls'
(b) wkqfldgi;=<skaRcqjuuekwe;af;abmsÆu">k;ajh"ldr®hh"ldr®hCIu;djwd°uQQ,Or®uj,g
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100
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Parts and Sub Parts
G.C.E.(A.L.) Examination - 2016 Chemistry - Paper II (Part B)
Facility Indices of Parts and Sub Parts
-26-
35%
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lity
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Parts and Sub Parts
G.C.E.(A.L.) Examination - 2016 Chemistry - Paper II (Part B)
Facility Indices of Parts and Sub Parts
-26-
35%
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Parts and Sub Parts
G.C.E.(A.L.) Examination - 2016 Chemistry - Paper II (Part B)
Facility Indices of Parts and Sub Parts
-26-
35%
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10
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Parts and Sub Parts
G.C.E.(A.L.) Examination - 2016 Chemistry - Paper II (Part B)
Facility Indices of Parts and Sub Parts
-26-
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Parts and Sub Parts
G.C.E.(A.L.) Examination - 2016 Chemistry - Paper II (Part B)
Facility Indices of Parts and Sub Parts
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