Madhya Pradesh Bhoj (Open) University, Bhopal Bsc Ist year Maths … · Madhya Pradesh Bhoj (Open)...

Madhya Pradesh Bhoj (Open) University, Bhopal

Bsc Ist year Maths 2014 Subject: Maths Maximum Marks: 30

funZs'k& 1- lHkh iz’u Lo;a dh gLr fyfi esa gy djuk vfuok;Z gSA

2- nksuksa l=h; iz’u i= dks gy djuk vfuok;Z gSA

3- l=h; dk;Z tek djus dh vafre frfFk 30 tqykbZ 2014 gSA

4- l=h; dk;Z mRrj iqfLrdkvksa dks tek djus dh jlhn vo’; izkIr dj ysaA

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Assignment Question Paper – I

uksV% izR;sd iz’u ds fy, fu/kkZfjr vad 06 gSA bl [k.M ds izR;sd iz’u dk mRrj yxHkx 600 'kCnks esa nhft,A

Note : Each Question carries 06 Marks. Attempt each Question of this section in about 600

words. Q.1(a) Find the normal form of the matrix A and hence find its Rank and Nullity 2 3 -1 -1

1 -1 -2 -4

A = 3 1 3 -2

6 3 0 -7

iz'u 1 (a) vkO;wg A dk vfHkyac :Ik ¼Normal form½ Kkr djks vkSj bldh rank vkSj 'kU;rk ¼Nullity½

Hkh Kkr djks tgkWa

2 3 -1 -1

1 -1 -2 -4

A = 1 3 -2 -2

6 3 0 -7

Q.1(b) Test the consistency and solve

5x+3y+7z=4, 3x+26y+2z=9,7x+2y+10z=5

(b) laxrrk ¼Consistercy½ dh tkWap djsa vkSj 5x+3y+7z=4, 3x+26y+2z=9,7x+2y+10z=5.

dks gy djsA

Q.2(a) If y=x2ex Then prove by the Leibnitz’s theorem, yn =(1/2)n(n-1)d2y/dx2 – n(n-2)dy/dx +(1/2)(n-1)(n-2)y.

iz'u 2 (a) ;fn y=x2ex rks fycfutizes; fl) djsaA

yn =(1/2)n(n-1)d2y/dx2 – n(n-2)dy/dx +(1/2)(n-1)(n-2)y. Q.2(b) Expand logex in powers of (x-1) and hence evaluate log 1.1 correct to 4 decimal places by Taylor’s Theorem.

iz'u 2 (b) Logsdks (x-1) dh ?kkr esa foLrkfjr djs log 1.1 vkSj eku 4 LFkkuksa rd Taylor ‘s

theoress}kjk Kkr djsA

uksV% izR;sd iz’u ds fy, fu/kkZfjr vad 02 gSAbl [k.M ds izR;sd iz’u dk mRrj yxHkx 400 'kCnks esa nhft,A


words

Q.3(a) Find the directional derivative of the function ɸ=xy2+yz2+x2z along the tangent to the curve x=t,

y=t2, z=t3 at (1,1,1).

iz'u 3 (a) Qyuɸ=xy2+yz2+x2z dk fn’kkRed O;qRiUu ¼Directional derivative½ odz dh Li’kZ js[kk curve x=t,

y=t2, z=t3 ds fcUnq(1,1,1) ij Kkr djksA

Q.3(b) Evaluate ∫∫ F.ndS where F= xi-yj+(z2-1)k and S is a closed surface bounded by the planes z=0,z=1 and the cylinder x2+y2=4. Also verify the Gauss’s Divergence Theorem.

iz'u 3 (b) ∫∫ F.ndS Kkr djks tgkWa where F= xi-yj+(z2-1)k rFkk S,d can i`"B gS tks lery z=0,z=1 ,oa csyu

x2+y2=4 }kjk f?kjk gqvk gSA

Q.4 Prove that the infinite cyclic group G is isomorphic to the group Z of integers under addition. iz'u 4 fl) djks fd ;ksx lafØ;k esa vuUr pØh; lewg G iw.kkZdksa ds lewgZ dk Isomorphic gSaA Q.5 State and prove the fundamental Homomorphism theorem. iz'u 5 ewyHkwr lekdkfjrk izes; ¼Fundamental Homorphism theorem½ dks fl) djksA Q.6 Express Sin 6θ / sin θ in powers of cos θ. iz'u 6 Sin 6θ / sin θ dks cos θ. Dh ?kkrksa esa izLrqr djsA

Q.7 Find the volume bounded by the paraboloid x2+4y2+z=4 and the xy plane. iz'u 7 i[ky;kHk ¼paraboloid ½ x2+4y2+z=4 rFkk xy leru ds chp dk vk;ru Kkr djksA Q.8 Solve :xp2 - 2yp + 4x = 0 iz'u 8 gy djks &xp2 - 2yp + 4x = 0 Q.9 Solve by the method of variation of parameters x2d2y/dx2 + x dy/dx – y = x2ex

iz’u 9 fuEu dks izkpy fopj.k ¼Maritation of parrameter½ fof/k ls gy djsA

x2d2y/dx2 + x dy/dx – y = x2ex

Q.10 Find the conic which represent the equation 17 x2-12xy+8y2+46x-28y+17=0. Find its centre and its equation when the origin is shifted to the centre.

iz’u 10 leh- 17 x2-12xy+8y2+46x-28y+17=0 dks iznf’kZr djus okys 'kkaDo ¼Conic½ dks

Kkr djsA mlds dsUnz ,oa leh- dks Hkh Kkr djs ;fn ewy fcUnq mlds dsUnz ij

LFkkukarfjr fd;k x;k gksA


Note : Each Question carries 01 Marks. Attempt each Question of this section in about

200 words. Q.11 Show that the locus of poles of normal chords of y2=4ax is ( x+2a ) y2 + 4a3 = 0

iz’u 11 fl) djks fd y2=4ax ds vfHkyac thok ¼Normal chord½ ds /kzqoksa dk fcUnqiFk (

x+2a ) y2 + 4a3 = 0 Q.12 Show that the locus of the point of intersection of the three mutually perpendicular tangent plane to the concoid a2x2+b2y2+c2z2=1 of the sphere X2+y2+z2=1/a2+1/b2+1/c2

iz’u 12 fl) djks fd rhu ijLij yaccy Li’kZ leryksa dk o`Rr a2x2+b2y2+c2z2=1 ds izfrPNsnh

fcUnq dk fcUnqiFk X2+y2+z2=1/a2+1/b2+1/c2 gksxk

Assignment Question Paper – II

Note : section –A contains 3 questions and each question is of 4 marks . And section –B contains 9 questions and each question is of 2 marks

uksV& Hkkx &1 esa 3 iz’u gS] izR;sd ds 4 vad fu/kkZfjr gSA rFkk Hkkx & 2 esa 9 iz’u gS rFkk izR;sd ds

2 vad fu/kkZfjr gSA

Q.1(a) Find the characteristic roots(eigen values) and corresponding Characteristic vectors (eigen vectors) of the matrix

8 -6 2 A = -6 7 -4 2 -4 3

iz'u 1 ¼aa ½ fuEu vkO;wg dk vk;xueku vkSj vk;xu lfn’k Kkr djksA 8 -6 2 A = -6 7 -4 2 -4 3 1 0 2 Q.1(b) If matrix A = 0 2 1 Then verify the CaleyHemilton Theorem . Hence find A-1 . 2 0 3 1 0 2

iz'u ¼b½ ;fn A = 0 2 1 rks dsyh gsfeYVu izes; dks fl) djks vkSj A-1 . Hkh Kkr djksA

2 0 3

Q.2 (a) Find the nth differential coefficient of tan -1(x/a) by successive differentiation .

iz'u ¼v½ mRrjksRrj vodyu }kjktan -1(x/a) dk vody xq.kkad Kkr djksA

Q.2(b) Expand [log {x+√(1+x2)}]2 in ascending powers of x by Maclaurin’s theorem .

iz'u ¼c½ edykWlh izes; }kjk[log {x+√(1+x2)}]2 dks c<rs Øe esa foLrkj djksA



words

Q.3(a) Show that the vector field F = r/r3 is irrotational as well as solenoidal . Find the scalar potential .

iz'u 3 ¼v½ fl) djks fd lfn’k {ks= F = r/r3 v/kw.khZ;rFkk vjs[kh; gSA bldk vfn’k foHko ¼scalar

potential½ Hkh Kkr djksA

Q.3(b) Apply Stoke’s theorem to find the value of

∫(ydx+zdy+xdz)

where C is the curve of intersection of x2+y2+z2=a2 and x+y=a

iz’u 3 ¼c½ LVksd fof/k dk iz;ksx djds ∫(ydx+zdy+xdz) dk eku Kkr djs tgkWa C

x2+y2+z2=a2 rFkk x+y=a dk izfrPNsnh oØ gSA

Q.4 Prove that the every group of prime order is Cyclic .

iz'u 4 fl) djks fd vHkkT; Øe dk izR;sd lewg pØh; gksrk gSA

Q.5 Prove that the cancellation Laws hold in a ring R if and only if R has no left or right divisors of O.

iz'u 5 fl) djks fd pØ ¼Ring½ esa fujLrhdj.k fu;e ¼cancellation Law) ykxw gksxk ;fn o dsoy

;fn R esa O ds dksbZ nk;s o ck;s

Q.6 Separate into real and imaginary part of the expression tan -1 (x + yi)

iz'u 6 tan -1 (x + yi) dks okLrfod ,oa dkYifud Hkkxksa esa foHkkftr djsA

Q.7 Find the surface of the solid generated by the revolution of the asteroid x 2/3+y2/3=a2/3 or x= a cos3t , y= a sin3 t about the axis of x.

iz'u 7 oØ x 2/3+y2/3=a2/3 ;kx= a cos3t , y= a sin3 ds /kw.kZu }kjk cuus okys Bksl dk i`"B x v{k ds vuq:I

Kkr djksA

Q.8 Show that the equation (x2-4xy-2y2)dx+(y2-4xy-2x2)dy=0 is exact and hence solve it.

iz'u 8 fl) djks fd lehdj.k (x2-4xy-2y2)dx+(y2-4xy-2x2)dy=0 is exact gS vkSj bls gy Hkh djksA

Q.9 Solve : d2y/dx2 – 4dy/dx + 4 y = 8x2 e2x sin 2x

iz'u 9 gy djks &d2y/dx2 – 4dy/dx + 4 y = 8x2 e2x sin 2x

Q.10 Trace the conic 9x2+24xy+10y2-44x+108y-124=0

iz'u 10 'kkDo 9x2+24xy+10y2-44x+108y-124=0 dks fu/kkZfjr djksA ¼Trace the conic½



words. Q.11 Find the equation of the polar of the given point (x1,y1) with respect to the ellipse (x2/a2) +( y2/b2) = 1

iz'u 11 (x2/a2) +( y2/b2) = 1 nh?kZ dk /kqozh; lehdj.k (x1,y1) fcUnq ij Kkr djksA

Q.12 Find the equation of the generating lines of the hyperboloid yz+2zx+3xy+6=0 which pass through the point (-1,0,3).

iz’u 12 vfrijoy;kHk(hyperboloid) yz+2zx+3xy+6=0 dh izokgh js[kkvksa ¼Generating lines½ dk

lehdj.k Kkr djks tks (-1,0,3) fcUnq ls xqtjrh gSA


Bsc Ist year Zoology 2014 Subject: Zoology Maximum Marks: 30





-------------------------------------------------------------------------------------------------------- Assignment Question Paper – I



words.

Q.1 write general features of phylum Echinodermata and classify this phylum upto class giving charactertics and examples. iz'u 1 bdkbukaMesZVk la?k ds lkekU; y{k.k fyf[k, ,oa la?k dks y{k.kksa ,oa vnkgj.kksa lfgr oxZ Lrj rd oxhZd̀r

dhft,A

Q. 2 What are Immune system? Discuss its various types and functions in detail. iz'u 2 izfrj{kk ra= D;k gS blds fofHkUu izdkj ,oa dk;ksZa dk foLrkjiwoZd o.kZu dhft,A



words.

Q. 3 What are the feature that show sexual dimorphism in palaemon? Give on account of proroductive system of placeman. iz'u 3 os dkSuls y{k.k gS tks iSyh;ksu esa fyaxh; fHkUurk n’kkZrs gS\ iSyh;ksu ds tuu ra=kksa dk fooj.k nhft,A

Q. 4 Discribe the structure and functions of Plasma memsbane. iz'u 4 Iyktk f>Yyh dh lajpuk ,oa dk;ksZa dk o.kZu dhft,A

Q. 5 Write general features of class Aves and classify this class upto orders giving characteristics and examples. iz'u 5 i{kh oxZ ds lkekU; y{k.k fyf[k, ,oa bl oxZ dks y{k.kksa ,oa mnkgj.kksa lfgr x.kksa Lrj rd oxhZd̀r dhft,A

Q. 6 What is fertilization? Describe the process and significance of fertilization iz'u 6 fu"kspu D;k gS\ fu"kspu dh izfØ;k ,oa egRo dk o.kZu dhft,A

Q. 7 Give a comparative account petromyzon an Myxine on the basis of morphological an anatomical sturcture . iz'u 7 ckg ,oa vkUrfjd lajpuk ds vk/kkj ij isV ªksekbtkWu ,oa feDlhu dk rqyukRed fooj.k nhft,A

Q. 8 Explain the process of blastulation and discus the fate map in the embryology of brog. iz'u 8 es<+d ds Hkzw.kh; fodkl esa OykLVwyk fuekZ.k dh fof/k dks le>krs gq, bldh Hkfo"; ekufp= dh foospuk dhft,A

Q. 9 What are antic arches? Draw well labelled diagrams of evolution of aortic arches in vertebrates. iz'u 9 ,lksVfVd vkpZ D;k gS\ d’ks:dh izkf.k;ksa esa buds fodkl dks n’kkZrs gq, ukekafdr fp= cukb;sA

Q. 10 Write an essay on regeneration. iz'u 10 iqu:nex.k ij ,d fuca/k fyf[k,A



words.

Q. 11 Explain the role of microbes in biotechnology. iz'u 11 tSo izkS/kksfxd esa thok.kq dh Hkwfedk dks le>kb;sA

Q. 12 Explain causes of los of biodiversity. iz'u 12 tSo fofo/krk ds {kfr ds dkj.k le>kb;sA

Bsc Ist year Zoology 2014 Assignment Question Paper – II



words.

Q.1Classify phylum Annelida upto classes with characteristic and example. iz-1 ,susfyMk la?k ds y{k.k ,oa mnkgj.k nsrs gq, oxksZ rd oxhZÑr dhft,A

Q. 2 What do you understand by gametogenesis? Desoubx the process of spermatogenesis. iz-2 ;qXe dtuu ls vki D;k le>rs gSA 'kqdk.kqtuu dh izfØ;k dk o.kZu dhft,A

uksV% izR;sd iz’u ds fy, fu/kkZfjr vad 02 gSAbl [k.M ds izR;sd iz’u dk mRrj yxHkx 400 'kCnks esa nhft,A Note : Each Question carries 02 Marks. Attempt each Question of this section in about 400

words.

Q. 3Discribe similarties are dissimilarities of polyps are medurs of obelia. iz-3 vkscsfy;k ds ikWfyi vkSj esM;wlk esa lekurkvksa vkSj vlkeurkvkS dk o.kZu dhft,A

Q.4 Discribephonomenore of retrogressive metorphosinhormainia. iz-4 gMZekfu;k esa fjVksxzsfud esVkeksjQksfel dk o.kZu dhft,A

Q. 5 describe the respinotory organs and mechanism of respinalia of pila. iz-5 ikbyk ds 'olu vaxks ,oa 'olu fof/k dk o.kZu dhft,A

Q. 6 Dscribe the mitosin division with diagram. iz-6 lelwxh foHkktu dk lfp= o.kZu dhft,A

Q. 7 Describe the placentation in normal. iz-7 Lrfu;ksa es vijkU;kl dk o.kZu dhft,A

Q. 8 Describe compatativeaccourt of respiratory systemof reptile bind are normal. iz-8 ljhl`Ik i{kh ,oa Lruh ds 'olu r= dk rqyukRed o.kZu dhft,A

Q. 9 What in cleqvoge describe varisons types of clevage. iz-9 fonyu fdls dgrs gS fofHkUu izdkj ds fonyu dk o.kZu dhft,A

Q. 10 wrWhatmitochrodic in called power house of cell . iz-10 vfrfjDr Hkw.kh; f>fYy;kWa D;k gS eqxhZ esa buds dk o.kZu dhft,A



words.

Q. 11 Why Mitochondria is called “power house of cell” iz-11 HkkbVksdkWf.M;k dks dksf’kdk dk mtkZ x̀g D;ksa dgrs gSA

Q. 12 What is cell transformation. iz-12 dks’kk :ikUrj.k D;k gSA


Bsc Ist year Chemistry 2014 Subject: Chemistry Maximum Marks: 30





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words.

Q.1. Define colloids? Also give its classification. iz'u 1 dksykbM dks ifjHkkf"kr dhft;s\ dksykbMks dk oxhZdj.k Hkh nhft;s\

Q. 2 Give the comparative study of p-block element. iz'u 2 Cykd ds rRoksa dk rqyukRed v/;;u izLrqr dhft;s\ uksV% izR;sd i z’u ds fy, fu/kkZfjr vad 02 gSAbl [k.M ds izR;sd iz’u dk mRrj yxHkx 400 'kCnks esa nhft,A


words.

Q. 3 Define Hybridization? Also give its types with example?. iz'u 3 ladj.k ¼gkbfczMkbtZ’ku½ dks ifjHkkf"kr dhft;s\ rFkk blds izdkjksa dks Hkh mnkgj.k lfgr le>kb;s\

Q. 4 Derive Bragg equation ?. iz'u 4 czsx lehdj.k dh mRifRr dhft;s\

Q. 5 Define the gold number ?. iz'u 5 Lo.kZ la[;k dks ifjHkkf"kr dhft;s\ Q. 6 Define mean free path?. iz'u 6 vkDlr eqDr ikFk dks ifjHkkf"kr dhft;s\

Q. 7 Explain Aufbau principle ?. iz'u 7 vkWQcko fl)kar dks le>kb;sA

Q. 8 Explain valence bond theory? iz'u 8 la;kstdrk ca/k fl)kar dks le>kb;s\

Q. 9 Explain the structure of Dibarane? . iz'u 9 Mkbcksjsu dh lajpuk dks le>kb;s\

Q. 10 Explain hydrogen bonding? . iz'u gkbMªkstu ca/k dks le>kb;s\



words.

Q. 11 explain the concept of Isomerism?. iz'u 11 leko;ork dh ladYiuk dks le>kb;s\

Q. 12 Explain morkownikoffs rule?. iz'u 12 ekbdksfudkWQ ds fu;e dks le>kb;s\

Bsc Ist year Chemistry 2014 Assignment Question Paper – II



words.

Qu.1 What do you understand by catalysis? Also give it’s classification?

iz'u 1 mRizsj.k ls vki D;k le>rs gSa\bldk oxhZdj.k Hkh dhft,A

Qu.2 Explain VSEPR theory with examples?

iz'u 2 la;kstdrk dks’k UVwySDVªku ;qXe izfrd"kZ.k fl)kar dks mnkgj.kksa lfgr le>kb;s\



words.

Qu.3 Explain the mechanism of fiddle – crafts relation?

iz'u 3 ØhMy & Øk¶V vfHkfØ;k dh fØ;kfof/k le>kb;s\

Qu.4 Explain Hardy – sehulze law ?

iz'u 4 gkMhZ & 'kwyts fu;e dks le>kb;s\

Qu.5 Explain the Cristal structure of Nacl?

iz'u 5 Nacl dh fØLVy lajpuk dks le>kb;s\

Qu.6 Explain the effect of temperature on rate of Relation?

iz'u 6 vfHkfØ;k dh nj ij rkieku ds izHkko dks le>kb;s\

Qu.7 Explain pauli exclusion principle?

iz'u 7 ikMyh ds viotZu fl)kar dks le>kb;s\

Qu.8 Explain molecular orbital theory (MOT) ?

iz'u 8 vk.kfod d{kd fl)kar dks le>kb;s\

Qu.9 Explain fajun’s rule?

iz'u 9 Qktu ds fl)kar dks le>kb;s\

Qu.10 Explain vander walds force?

iz'u 10 okW.Mj oky cy dks le>kb;s\



words.

Qu.11 Explain E & Z system of nomenclature with suitable examples?

iz’u 11 ukedj.k dh E rFkk Z iz.kkyh dks mnkgj.k lfgr le>kb;s\

Qu.12 Explain the system of DDT?

iz'u 12 Mh Mh Vh ds la’ys"k.k dks le>kb;s\

Madhya Pradesh Bhoj (Open) University, Bhopal Bsc Ist year Botony 2014

Subject: Botony Maximum Marks: 30





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words. uksV% izR;sd iz’u ds fy, fu/kkZfjr vad 06 gSAbl [k.M ds izR;sd iz’u dk mRrj yxHkx 600 'kCnks esa nhft,A

Qu.1 Write a note on Viruses?

iz'u 1 ok;jlksa ij ,d fVIi.kh fyf[k,\

Qu.2 Explain the functions of cell wall?

iz'u 2 dksf’kdk fHkRrh ds dk;ksZ dks le>kb;s\



words.

Qu.3 Explain the economic importance of cyan bacteria?

iz’u 3 lk;uks csDVsfj;k dh vkfFZkd egÙkk dks le>kb;s\

Qu.4 Explain the classification of fungi?

iz'u 4 QUtkbZ ds oxhZdj.k dks le>kb;s\

Qu.5 Write a short note on lycopodium?

iz'u 5 ykbdksikssfM;e ij ,d laf{kIr fVIi.kh fyf[k,\

Qu.6 Write a note on Rhynia?

iz'u 6 jk;fu;k ij ,d fVIi.kh fyf[k,\

Qu.7 Write a note on nuclear membrane?

iz'u 7 U;wfDy;j esEczsu ij ,d fVIi.kh fyf[k,\

Qu.8 Write a note on DNA Damage and repair?

iz'u 8 Mh-,u-,- {kfr rFkk ejEer ij ,d fVIi.kh fyf[k,\

Qu.9 Write a note on variations in chromosome number?

iz'u 9 Øksekslkse uEcj esa ifjorZu ij ,d fVIi.kh fyf[k,\

Qu.10 Explain the structure of Golgi?

iz'u 10 xksYth dh lajpuk dks le>kb;s\



words.

Qu.11 Explain Reproduction?

iz'u 11 tuu dks le>kb;s\

Qu.12 Explain Nucleus?

iz'u 12 U;wfDy;l dks le>kb;s\

Bsc Ist year Botony 2014




words.

Q.1. Explain the economic importance of bacteria?. iz'u 1 csDVhfj;k dh vkfFkZd egRrk dks le>kb;s\

Q. 2 Explain the structure of DNA?. iz'u2 Mh-,u-,- dh lajpuk dks le>kb;sA



words.

Q. 3 Explain the Classification of Algae?. iz'u 3 ,Yth ds oxhZdj.k dks le>kb;s\

Q. 4 Explain the General character of fungi?. iz'u 4 QUtkbZ ds lkekU; xq.kksa dks le>kb;s\

Q. 5 Explain the alternation of generations in bryophyte?. iz'u 5 czk;ksQkbVk esa ihf<;ksa esa ,dkarj.k dks le>kb;s\

Q. 6 Explain the important chrematistics of pteridophyta?. iz'u 6 VsjhQkbVk ds egRoiw.kZ fo’ks"krkvksa dks le>kb;s\

Q. 7 Explain the structure and function of nuclear?. iz'u 7 U;wfDy;l dh lajpuk rFkk dk;ksZa dks le>kb;s\

Q. 8 explain the cbrorrosome organization? iz'u 8 Øksekslkse lajpuk dks le>kb;s\

Q. 9 Explain mutations with examples? . iz'u 9 E;wVs’ku dks mnkgj.kksa lfgr le>kb;s\

Q. 10 Explain translocations ? . iz'u 10 Vªklyksds’ku dks le>kb;s\



words.

Q. 11 What is cyanobactenia?. iz'u 11 lkbukscsDVhfj;k D;k gS\

Q. 12 What is Plasma membrane?. iz'u 12 IykTek esEczsu D;k gS\

Madhya Pradesh Bhoj (Open) University, Bhopal BscIst year Physics 2014

Subject: Physics Maximum Marks: 30





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words.

Q1What is meant by rotational frame of reference? If frame S’ is rotating with a uniform

angular velocity with respect to a frame S and the axes of both frames are coincident at t=0

then establish the Galilean transformations between the position coordinates, velocity and

acceleration.

iz'u 1 ?kw.khZ r[r dk D;k vFkZ gS\ ;fn r[rz s ds lanHkZ esa ,d leku dks.kh; osx ls cnyrh gSrFkk t=0 ij nksuksa

r[rksa ds laikrh gSa rks fLFkfr funsZ’kkad osx vkSj Roj.k ds chp xSfyyh ifjorZuks adh LFkkiuk dhft,A

Q2 Show that the intensity of the electric field at a point due to a uniform linear charge

distribution of infinite length is inversely proportional to the normal distance from the

linear charge distribution.

fl) djsa fd vuUr yEckbZ dh ,d leku js[kh; vkos’k forj.k ds dkj.k ,d fcUnq ij fo|qr {ks= dh rhozrk jSf[kd

forj.k vkos’k ls lekU; nwjh ds fy, vkuwikfrd gSA



words.

Q3 What are Lissajous figures? Establish the expression for the resultant motion obtained

due to superposition of two mutually perpendicular simple harmonic motion of amplitudes

and time periods in ratio 1:2.

iz'u 3 fyLlktsl vkd̀fr D;k gS\ 1:2 ds vk;ke o le; vof/k ds nks ijLij yEcor ljy vkoZr xfr ds v/;k jksi.k

ls gksus okys la;qDr xfr dk O;atd LFkkfir djsaA

Q4 State Hook’s law and define Young’s modulus, bulk modulus, modulus of rigidity and

Poisson’s ratio of an isotropic and homogenous substance.

iz'u 4 gqd ds fu;e dk dFku fy[ksaAle nSf’kd ,oa lekaxh inkFkZ ds fy, ;axekikad,cYdekikad,dBksjrk dk ekikad

,oa ikW;tu vuqikr dks ifjHkkf"kr dhft,A

Q5 Write down the characteristics of simple harmonic motion. Obtain its differential

equation and solve it. Deduce expressions for the potential and kinetic energies in simple

harmonic motion.

iz'u 5 Lkkjy vkorZ xfr dh fo’ks"krkW, fyf[k, rFkk lacaf/kr vody lehdj.k gy djsaAljy vkorZ xfr esa fLFkfrt

mtkZ ,oa xfrt mtkZ dk O;atd Kkr djsaA

Q6 Show that when a charged particle enters in an electric field in the direction normal to

the field, it gets deflected and the deflection produced is directly proportional to the

intensity of field. In what device is this principle used?

iz'u 6 tc ,d vkosf’kr d.k fdlh fo|qr {ks= esa yEcor izos’k djrk gS rc og foisf{kr gks tkrk gSA ;g fois{k.k

fo|qr {ks= dh rhozrk ls vuqikfrd gksrk gSAbl fl)kUr dk mi;ksx fdl midj.k esa fd;k x;k gSA

Q7 Explain the meaning of curl (or rotation) of a vector field and state its physical

significance. Give an example of non-curl field.

iz'u 7 ,d lfn’k {ks= esa ?kw.khZ dh O;k[;k dhft, ,oa bldk HkkSfrd egRo le>kb;sAv?kw.khZ; {ks= dk ,d mnkgj.k

izLrqr dhft,A

Q8 Explain the growth and decay of current in L-R circuit.

iz'u 8 ,y vkj ifjiFk esa fo|qr dh of̀} ,oa {k; dk o.kZu djsaA

Q9 What is gyro magnetic ratio? Show that the ratio of magnetic moment to its angular

momentum due to rotation of a uniformly charged body (mass m, charge q) is equal to

q/2m.

iz'u 9 Xkk;jks pqEcdh; vuqikr D;k gS\ Li"V djsa fd ,d leku vkosf"kr fi.M dss /kw.kZu ls mRiUu pqEcdh; vk?kw.kZ

rFkk dks.kh; vk?kw.kZ dk vuqikr q/2m ds cjkcj gSA

Q10 The self inductances of two coils P and S are L1 and L2. The coupling between them is

ideal. Show that the mutual inductance between these coils is M = √L1L2.

iz'u 10 dq.My P o S ds vkRe izsj.k L1o L2 gSA buds e/; vkn’kZ ;qXeu gSA n’kkZb, fd buds e/; vkilh izsj.k

M=√L1L2 gksxkA



words.

Q11 What are the necessary conditions for the interference of waves.

iz'u 11 rjaxksa ds gLr{ksi ds fy, vko’;d 'kRksZa D;kgS\

Q12 Write Faraday’s laws of electromagnetic induction and obtain an expression for the

e.m.f. induced.

iz'u 12 fo|qr pqEcdh; izsj.k ds fy, QSjkMs ds fu;e fy[ksa rFkk izsfjr bZ.,e.,Q. ds fy, O;atd nsaA


uksV% izR;sd iz’u ds fy, fu/kkZfjr vad 06 gSAbl [k.M ds izR;sd iz’u dk mRrj yxHkx 600 'kCnks esa

nhft,A

Note : Each Question carries 06 Marks. Attempt each Question of this section in

about 600 words. Q1 What ids meant by angular momentum of a particle’s?Show that the rate of change of angular momentum for a system of particles is equal to the torque acting on it.On this basis derive law of conservation of angular momentum. iz'u 1 fdlh d.k ds dks.kh; laosx ls D;k rkRi;Z gS\ fl) djs fd dks.kh; laosx ifjorZu dh nj d.kksa

d fudk; ij vkjksfir cy vk?kkr ds cjkcj gksrh gSA bl vk/kkj ij dks.kh; laosx laj{k.k dk fu;e

O;wRiUu dhft;sA

Q2 Derive expression for charging of condenser in LCR circuit. iz'u 2 LCR ifjiFk esa la/kkfj= ds vkos’k.k ds fy, I;atd izkIr dhft,A

Q3 What is meant by relaxation time. Damping constant and quality factor of a damped harmonic oscillator obtain expressions for them and show that if damping is zero the quality factor of the oscillator becomes infinite. iz'u 3 voefUnr vkorhZ nkSfy= ds fy, JkfUrdky]voeUnu fu;rkad rFkk fo’ks"krk xq.kkad ls D;k

vfHkizk; gS\ buds fy, O;atd LFkkfir djks rFkk fl) djks fd voeUnu 'kwU; gksus ij nksfy= dk

fo"ks"krk xq.kkad vuUr gks tkrk Gsa

Q4 (a) Determine the intensity of electric field due to a uniformly charged ring at a point on its axis. iz'u 4 ,d leku vkosf’kr fjax ds dkj.k mldh v{k ij fLFkr fcUnq ij fo/kqr {ks= dh rhozrk Kkr

dhft,A

Q5 What is a Compound Pendulum? Write the differential equation of its motion and deduce an expression for its time period.Also show that the time period of pendulum with respect to its four points remains the same. iz'u 5 ;kSfxd yksyd fdls dgrs gS\ bldh xfr dk vody lehdj.k fyf[k, rFkk vkorZdky dk

O;atd fuxfer dhft,A n’kkZb;s fd blds pkj fcUnqvksa ds lkis{k yksyd dk vkorZdky leku jgrk

gSA

Q6 State and Prove Gauss theorem. iz'u 6 xkWl dh izes; D;k gS\ bls fl) dhft,A

Q7 Show that an electric field behaves like an accelerating field and the energy acquired by a charged particle in an electric field is equal to the product of charge and potential difference.On this basis define electron volt. iz'u 7 fl) djks fd fo|qr {ks= ,d Rojd {ks= dh Hkkafr O;ogkj djrk gS rFkk fdlh fo|qr {ks= esa

vkosf’kr {ks= esa vkosf’kr d.k }kjk izkIr ÅtkZ vkos’k rFkk foHkokUrj ds xq.kuQy ds cjkcj gksrh gSA

bl vk/kkj ij bysDVªkWu oksYV dh ifjHkk"kk nhft,A

Q8 Derive expression for magnetic field at a point on the axis of current carryyring circular coil. iz'u 8 /kkjkokgh dq.Myh ds v{k ij pqEcdh; {ks= dh rhozrk ds fy, O;atd izkIr dhft,A

Q9 Explain why Girders are made of steel and area of cross – section in the shape of I ? iz'u 9 xkMZj LVhy ds D;ksa cuk;s tkrs gSa rFkk mudh vkd`fr I ds leku D;ksa gksrh gS\

Q10 Derive Maxwell’s Equations. iz'u 10 esDlosy ds lehdj.kksa dks O;qRiUu dhft,A

Q11 Explain pointing vector and derive equation for it. iz'u 11 ikbZfVax lfn’k D;k gS\ blds lehdj.k dks O;qRiUu dhft,A

Q12 What is meant by torsion in a cylinder? Obtain an expression for the torque required to twist a uniform solid cylinder. iz'u 12 ,d csyu esa ,saBu ls D;k rkRi;Z gS\ ,d le:Ik Bksl csyu dks ,saBus ds fy, vko’;d

cy;qXe dk O;atd fuxfer dhft,A

Madhya Pradesh Bhoj (Open) University, Bhopal Bsc Ist year Maths … · Madhya Pradesh Bhoj (Open)...

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