Jee Main GTM Total Syllabus
Transcript of Jee Main GTM Total Syllabus
Sri Chaitanya IIT Academy., India. AP, TELANGANA, KARNATAKA, TAMILNADU, MAHARASHTRA, DELHI, RANCHI
A right Choice for the Real Aspirant
ICON Central Office , Madhapur – Hyderabad
Sec: Sr.Icon All GTM Date: 24-04-2020
Time: 09.00am to 12.00 Jee Main Max.Marks:300
IMPORTANT INSTRUCTIONS:
Mathematics : Question No. 1 to 20 Consists Four (4) marks & Negative (-1), 21 to 25 No Negative Marks
Physics : Question No. 26 to 45 Consists Four (4) marks & Negative (-1), 46 to 50 No Negative Marks
Chemistry : Question No. 51 to 70 Consists Four (4) marks & Negative (-1), 71 to 75 No Negative Marks
Jee Main_GTM
Total Syllabus
Sec:Sr.Icon All Space for Rough Work 2
MATHS Max Marks: 100
(SINGLE CORRECT ANSWER TYPE) This section contains 20 multiple choice questions. Each question has 4 options (1), (2), (3) and (4) for its answer, out of which ONLY ONE option can be correct. Marking scheme: +4 for correct answer, 0 if not attempted and –1 in all other cases.
1i = -
12 cot 1
1
m
m i x xie
xi
- +æ ö=ç ÷
-è ø
1 3 1, ,
2 4 4
1
8
235
256
21
256
3
256
253
256
Sec:Sr.Icon All Space for Rough Work 3
( )
5
11
sinsin log sin
sin cos
8 1log
15 2 2 4
n n
Kk
xx x
x x
f x n K K
p p
==
+
= P
æ öç ÷è ø
å ( )/2
0
f x dxp
ò
1log
2 2
p æ öç ÷è ø
8
15 4
p
l
4 2 3 2 4 5x y z and x y zl l l+ - = - + - = - l
2 3 4 0l l- - = 2 3 4 0l l+ - = 2 6 0l l- - = 2 6 0l l+ - =
( )1
10
12
log xy x
-= + +
[ 2,1)-
5,0
2
æ ö-ç ÷è ø
5,0
2
æ öç ÷è ø
5,0
3
æ öç ÷è ø
5,0
3
æ ö-ç ÷è ø
2 2 28 6 0x y x y n+ - - + = n IÎ
Sec:Sr.Icon All Space for Rough Work 4
2 4y x=
1 1 1
4AP AQ+ <
1
3<
1
3> 2> 3>
iP 'iP
( ) ( )10
1 1
1
2560i ii
SP S P=
=å
1
5
2
5
3
5
4
5
, ,a b c1
. . .2
a b b c c a= = =
1
2
1
2 2
3
2
1
3
( )1, 0, 3-
2 2 6
2 3 6
x y z- + -= =
-
10 10 429sin cos cos 2
16x x x+ =
,4 8
nn I
p p+ Î ,
8n n I
pp + Î ,
8 4
nn I
p p+ Î ,
4n n I
pp + Î
Sec:Sr.Icon All Space for Rough Work 5
4 6 8 121 2 1 4......... cos .....
3 9 3 9 2
x x x xSin x x
p- -æ ö æ ö- + - + - + - =ç ÷ ç ÷
è ø è ø| | 3O x£ <
( )p q rÞ Ú , ,p q r
20
1 cos 2lim
x xx
x
e e x®
-=
- +
( ) ( )2 2
f x f yx yf
++æ ö=ç ÷
è ø
3
a 5
3
a 7
3
a 2
3
a
Sec:Sr.Icon All Space for Rough Work 6
(NUMERICAL VALUE TYPE)
This section contains 5 questions. Each question is numerical value type. For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to second decimal place. (e.g. 6.25, 7.00, �0.33, �.30, 30.27, �127.30). Marking scheme: +4 for correct answer, 0 if not attempted and 0 in all other cases.
( )
4 5
25
5 4
1
x xdx
x x
+
+ +ò ( )1f =
{ }9
0
x dxò { }x
( ){ }2, : 0 1, 0 1, 0 2x y y x y x x£ £ + £ £ + £ £
( )y f x=
( ) ( ) ( )2.sin 2 cos 1 sin ' 0f x x x x f x- + + = ( )0 0y =
( )/ 6f p =
3y x ax= + 2y bx c= + ( )1,0-
3a b c- + =
Sec:Sr.Icon All Space for Rough Work 7
PHYSICS Max Marks: 100 (SINGLE CORRECT ANSWER TYPE)
This section contains 20 multiple choice questions. Each question has 4 options (1), (2), (3) and (4) for its answer, out of which ONLY ONE option can be correct. Marking scheme: +4 for correct answer, 0 if not attempted and –1 in all other cases.
9kg 9kg
50Hz 70Hz 100Hz 10Hz
2.0 , 32L H C Fm= = 10R = W
02480A
5110
17T-´ ( 111.7 10
e C
m kg= ´ )
2eV 4eV 1.5eV 4.5eV
Sec:Sr.Icon All Space for Rough Work 8
1n
2n1
2
n
n
1
2m =
2kg1 2F N=
20N 4kg
dqr
r
L
m 2
L
m
2L
m 4
L
m
Sec:Sr.Icon All Space for Rough Work 9
10W 3 23.5 10 m-´
( )0.4sin 50B tp= 0t =
10t ms=
70 cm 280 cm 140 cm 100 cm
28 38 10 m´ 25mm
0.02 /mm s 2 /mm s 0.2 /mm s 1 /mm s
276.3 10 /E Volt m= ´
195 10 T-´ 202.1 10 T´ 205 10 T-´ 192.1 10 T´
r
2gh
B
rB ghr
2B
gh
r gh
B
r
19 310 /m
4 mW 0.2 mW 2 mW 0.4 mW
Sec:Sr.Icon All Space for Rough Work 10
3
2
F
MR
2
3
F
MR 2
F
MR
3
4
F
MR
$( )3 6F i j N= +$
4im$
( ) ( ) ( ) ( )0, 2 , 0, 2 , 4, 2 4, 2and- -
2
04
Q
p Î
2
0
11
4 5
Q
p
æ ö-ç ÷Î è ø
2
0
11
4 5
Q
p
æ ö+ç ÷Î è ø
2
0
11
4 5
Q
p
æ ö- -ç ÷Î è ø
2 4V t= - 2t s£
4 2V t= - 2t s> 0t =
4t s=
4m 6m 8m 12m
1K
2K
1K 2K
2 12K K= 1 22K K= 2 1K K= 1 24K K=
Sec:Sr.Icon All Space for Rough Work 11
0X0
3
X
0
2
X
0100 C 075 C 050 C 025 C
( )1.5gm =
4W
R2W 4W
6V
4V10V
4W 3W 1W 2W
Sec:Sr.Icon All Space for Rough Work 12
(NUMERICAL VALUE TYPE) This section contains 5 questions. Each question is numerical value type. For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to second decimal place. (e.g. 6.25, 7.00, �0.33, �.30, 30.27, �127.30). Marking scheme: +4 for correct answer, 0 if not attempted and 0 in all other cases.
2n =
1n = 74.8eV 3n = 2n =
100W
W
02000Al =
07000d A=
0.005r cm=
( )2/N m 2 3 37 10 10 /N
T and kg mm
r-æ ö= ´ =ç ÷
è ø
( )29.8 /g m s=
Sec:Sr.Icon All Space for Rough Work 13
CHEMISTRY Max Marks: 100 (SINGLE CORRECT ANSWER TYPE)
This section contains 20 multiple choice questions. Each question has 4 options (1), (2), (3) and (4) for its answer, out of which ONLY ONE option can be correct. Marking scheme: +4 for correct answer, 0 if not attempted and –1 in all other cases.
Ketone
(A)
1.C2H5MgBr2.H2O
BH2SO4,heat
-H2OC
1.O3
2.Zn/H2O O
+ O
H
O O O O
CH2-C-NH2
C-O-CH3
O
O
(A)KOBr
;Product (A) is
O
O
O
O
O
NH
Sec:Sr.Icon All Space for Rough Work 14
O
O
O
NH
Cl-C-OEt
O
PhMgBr(Excess)
H3O+ Product
Ph-C-Ph
Ph
OH
Ph-C-C l
O
Ph-C-Ph
O Ph-CH-Ph
OH
1SN
Br
(P)
Br
(Q) (R)
Ph
Br
P Q R> > P R Q> > R P Q> > R Q P> >
Sec:Sr.Icon All Space for Rough Work 15
CH2O
Br
CH2O Br
CH2OBr
CH2O
Br
OH
Ni/3H2 A Cu BNH2OH
C DH+ OH-E
High temp & pressure
Sec:Sr.Icon All Space for Rough Work 16
CH3
NO2
Br2
Fe
ASn /HCl B NaNO2+HC l C
H3PO2D E
KMnO4
OH -
CO2H
Br
CO2H
Br
CO2H
Br
CO2H
CO2H
CH2 - C = CH - CH2OH
C l CH3
5d 3d
4d 4d
Sec:Sr.Icon All Space for Rough Work 17
( )2 24H O BrCo Bré ùë û ( )2 33
H O CC loé ùë û
( ) 22C O Br Bo X ré ùë û ( ) 22
C O Br Bo X ré ùë û
2
h
p
æ öç ÷è ø
22
h
p
æ öç ÷ç ÷è ø 2
h
p
æ öç ÷è ø
22
h
p
æ öç ÷è ø
23 2, ,CO CO CO-
23 2CO CO CO- < < 2
2 3CO CO CO-< <
23 2CO CO CO-< < 2
2 3CO CO CO -< <
( ) ( ) ( )2 2 33 2N g H g NH g+ ˆ †̂‡ˆ̂0500 C
pK52.88 10-´
cK
( )
5
2
2.88 10
0.082 500
-
-
´
´ ( )
5
2
1.44 10
8.314 773
-
-
´
´ ( )
5
2
1.44 10
0.082 773
-´
´ ( )
5
2
2.88 10
0.082 773
-
-
´
´
Sec:Sr.Icon All Space for Rough Work 18
0.94M O
2M + 3M + 3M +
7.01% 12.76% 6.05% 5.08%
1M A-
1M B - 025 C B A C> >
( ) ( ) ( ) ( )2 3 3 3 3, , ,K CO I MgCO II CaCO III BeCO IV
I II III IV< < < IV II III I< < < IV II I III< < < II IV III I< < <
2PbO 3HNO
2NO 2O 2N 2N O
2H S
2Pb + Cu+ Ag + 2Sn +
Sec:Sr.Icon All Space for Rough Work 19
(NUMERICAL VALUE TYPE) This section contains 5 questions. Each question is numerical value type. For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to second decimal place. (e.g. 6.25, 7.00, �0.33, �.30, 30.27, �127.30). Marking scheme: +4 for correct answer, 0 if not attempted and 0 in all other cases.
CH3 - C - C - CH3
Br
(A) NaNH2X (B) CH3 - I CH3 -C C - C C - CH3
Br
Br Br
________________A B+ =
O-CH3
CH2-O-CH3
Con HI (A) Mole HI is consumed
O-CH3
Con HI
( )B HI
_____________A B+ =
xG yH+ ®
3NH 030 C 1.gmL-
30 /vapH is kJ molD 1 175vapS is Jmol K- -D