Madhya Pradesh Bhoj (Open) University, Bhopal CLASS : M.Sc. Previous Year (Physics) Subject: Mathematical Physics Maximum Marks:30 ----------------------------------------------------------------------------------------------funs’Z k%& 1& lHkh iz'u Lo;a dh gLrfyfi esa gy djuk vfuok;Z gSA 2& nksuksa l=h; iz'u i= fo’ofo|ky; }kjk iznk; l=h; mRrj iqfLrdkvksa esa gy djuk vfuok;Z gSA 3& l=h; dk;Z tek djus dh vafre frfFk 30 ucEcj 2014 gSA 4& l=h; dk;Z mRrj iqfLrdkvksa dks tek djus dh jlhn vo'; izkIr dj ysAa -------------------------------------------------------------------------------------------------------------------uksV %& lHkh iz’uksa ds mRrj nhft,A Attempt all question. Assignment Question Paper – I Q.1 .Q.2 Q.3 State and prove convolution theorem related to laplau transform? ykIykl :ikarj.k ls lacaf/kr laoyu izes; dk dFku fy[kdj fl) djksA Obtain recurrence relation for bessels and hermite poly nomials. cSly rFkk gjekbV cgqinksa ds fy;s iqujkxeu lw= O;wRiUu djksA Prove that every square mathix satisfies it’s eigen equation. fl) djks fd izR;sd oxZ ckO;wg vius vfHkyk{kf.kd lehdj.kksa dks larq"V djrh gSA Q.4 Derive Cauchy reimann equation in poler form. Q.5 dkS’kh jheku lehdj.kksa dh /kzqoh; :Ik esa O;qifRr djksA Derive gradiant, divergence and curl in spherical co- ordinates system. xksyh; /kzqoh; funsZ’kkad i)frt esa xzfM,.V] MkbotsZUl rFkk dyZ dks O;qRiUu djksA Assignment Question Paper – II Q.1 .Q.2 Q.3 What are the properties of fourier transform. determine the fourier transformation of f(x) = e x p (-x2/4) Qkfsj;j :ikUrj.kksa ds xq.kksa dks ifjHkkf"kr djks rFkk f(x) = e x p (-x2/4) dk Qksfj;j :ikarj.k Kkr djksA Evaluate L-1 {Tan-1 2/p2} Kkr djks L-1 {Tan-1 2/p2} Find eigen value and eigen vectors of matrix. vkO;wg ds fy, vkbxu eku rFkk vkbxu lfn’k Kkr djksA Q.4 Prove the schur’s lemma 1 and 2. schur’s miizes; 1 rFkk 2 dks fl) djksA Q.5 Prove that cauchy’s integral formula. dkS’kh lkdy lw= fy[kks rFkk fl) djksA Madhya Pradesh Bhoj (Open) University, Bhopal CLASS : M.Sc. Previous Year (Physics) Subject: Classical and Statistical Physics Maximum Marks:30 ----------------------------------------------------------------------------------------------funs’Z k%& 1& lHkh iz'u Lo;a dh gLrfyfi esa gy djuk vfuok;Z gSA 2& nksuksa l=h; iz'u i= fo’ofo|ky; }kjk iznk; l=h; mRrj iqfLrdkvksa esa gy djuk vfuok;Z gSA 3& l=h; dk;Z tek djus dh vafre frfFk 30 ucEcj 2014 gSA 4& l=h; dk;Z mRrj iqfLrdkvksa dks tek djus dh jlhn vo'; izkIr dj ysAa -------------------------------------------------------------------------------------------------------------------uksV %& lHkh iz’uksa ds mRrj nhft,A Attempt all question. Assignment Question Paper – I Q.1 .Q.2 Q.3 Q.4 Q.5 What is kepler’s planetary law of motion? Write down and prove it. dsiyj ds xzghxfr ds fu;e fy[kks rFkk bUgsa fl) djksA Define ensemble. and explain Microcanonical, canonical and grand canonical ensemble. Obtain partition function for it. leqnk; dks ifjHkkf"kr djks lw{e fofgr leqnk;] fofgr leqnk;]o`gr leqnk; dks le>kvks rFkk buds fy;s forj.k Qyu izkIr djksA Derived euler’s equation of motion for a rigid body. n`<+ fi.Mksa ds fy;s ewyj lehdj.k O;qRiUu djksA State and peove liouvilles theorem. fyvksfoyh izes; dk dFku fy[kdj fl) djksA Write the hamiltion function and obtain equation of motion for (i) For compound pendulum (ii) Simple pendulum gSfeYVksfu;eu Qyu fy[kks rFkk ¼1½ ljy yksyd ¼2½ ;kSfxd yksyd ds fy;s xfr dk lehdj.k izkIr djksA Assignment Question Paper – II Q.1 .Q.2 Q.3 Derive lagrange’s equation from hamiltoon’s principal. gSfeYVu fl)kar ls ySxzkUt lehdj.k O;qRiUu djksA Define differential scattering cross section and obtain an expression for it in terms of inpact parameter and the scattering angle.Henu obtain an expression of Rutherford scattering cross section. Differential izdh.kZu vuqiLz Fk dkV dks ifjHkkf"kr djksA izdh.kZu dks.k rFkk la?kkr iSjkehVj ds in esa blds fy;s O;atd izkIr djks rFkk jnjQksMZ iz\dh.kZu vuqizLFk dkV ds fy;s O;atd izkIr djksA Explain Maxwell Boltzmann distribution law of speed obtain expression for (i) Most prohable speed (ii) Root means square speed (iii) Average speed eSDlosy oksYVeSu dk pky forj.k fu;e le>kvks rFkk ¼1½ lokZf/kd izlaHkkR; pky ¼2½ oxZek/;ewy pky ¼3½ vkSlr pky gsrq O;atd O;qRiUu djksA Q.4 Derive lagrangian equation from D’Alembert principle and also define D’Slembert principle. Q.5 n & vyEcVZ fl)kar ls ySxzkUt lehdj.k O;qRiUu djks rFkk n& vyEcVZ fl)kar le>kvksA Discuss the London theory for order parameter. dksfV iSjkehVj ds fy;s yaMu fl)kar dh O;k[;k djksA Madhya Pradesh Bhoj (Open) University, Bhopal CLASS : M.Sc. Previous Year (Physics) Subject: Classical Electrodynamics Maximum Marks:30 ----------------------------------------------------------------------------------------------funs’Z k%& 1& lHkh iz'u Lo;a dh gLrfyfi esa gy djuk vfuok;Z gSA 2& nksuksa l=h; iz'u i= fo’ofo|ky; }kjk iznk; l=h; mRrj iqfLrdkvksa esa gy djuk vfuok;Z gSA 3& l=h; dk;Z tek djus dh vafre frfFk 30 ucEcj 2014 gSA 4& l=h; dk;Z mRrj iqfLrdkvksa dks tek djus dh jlhn vo'; izkIr dj ysAa -------------------------------------------------------------------------------------------------------------------uksV %& lHkh iz’uksa ds mRrj nhft,A Attempt all question. Assignment Question Paper – I Q.1 .Q.2 Q.3 Q.4 Q.5 What is retarted time? What do you understand by retarted potential-plain? fjVkfVZaM le; ¼dky½ dks ifjHkkf"kr djksA fjVkfVZM foHko dks le>krs gq;s O;atd O;qRiUu djksA Give the elemementory theory of faraday effect and explain faraday rotation? QSjkMs izHko ds fy;s izkjafHkd fl)kar nhft;s rFkk QSjkMs ?kw.kZu dh O;k[;k djksA Explain the electromagnetic wave propagation in conducting media define skin depth. pkyd ek/;e esa fo/kqr pqEcdh; rjax lapj.k ls vki D;k le>rs gks le>kb;s rFkk xgjkbZ dks ifjHkkf"kr djksA Deduce spletor Hartee formula. ,iysVj gkVhZ lw= fuxfer djksA What is plasma. Define debye sheiding. obtain an expression for debye sheildindg length. IykTek fdls dgrs gS\ fMokbZ 'khfYMax dks ifjHkkf"kr djks fMokbZ 'khfYMax yackbZ ds fy;s O;atd O;qRiUu djksA Assignment Question Paper – II Q.1 .Q.2 Q.3 Q.4 Q.5 What do you understand by radiation reaction. find out the radiation reaction force for a change paricle.What is Abraham Lorentz equation of motion. Radiation reaction ls vki D;k le>rs gks| vkosf’kr d.k ds fy;s vczkge ykWjsUt xfr lehdj.k O;qRiUu djksA Obtain an expression for linard weichert potential? ysukMZ okbpkVZ foHko ds fy;s O;atd O;qRiUu djksA What is Hydromagnetic wave. Define Alfven wave.obtain an expression for Alfven speed. gkbMªkseSXusfVd rjax D;k gS\ Alfven rjax dks ifjHkkf"kr djks rFkk Alfven rjax pky ds fy;s O;atd O;qRiUu djksA Discuss short note on following. (i) Linear antenna (ii) Dis, para and ferromagnetism fuEu ij fVIi.kh fy[kksA ¼1½ jS[kh; ,.Vhuk Derive lamar’s formula. ykjej lw= O;qRiUu djksA ¼2½ izfr] vuq rFkk ykSg pqEcdRo Madhya Pradesh Bhoj (Open) University, Bhopal CLASS : M.Sc. Previous Year (Physics) Subject: Solid State Electronics Maximum Marks:30 ----------------------------------------------------------------------------------------------funs’Z k%& 1& lHkh iz'u Lo;a dh gLrfyfi esa gy djuk vfuok;Z gSA 2& nksuksa l=h; iz'u i= fo’ofo|ky; }kjk iznk; l=h; mRrj iqfLrdkvksa esa gy djuk vfuok;Z gSA 3& l=h; dk;Z tek djus dh vafre frfFk 30 ucEcj 2014 gSA 4& l=h; dk;Z mRrj iqfLrdkvksa dks tek djus dh jlhn vo'; izkIr dj ysAa -------------------------------------------------------------------------------------------------------------------uksV %& lHkh iz’uksa ds mRrj nhft,A Attempt all question. Assignment Question Paper – I Q.1 Q.2 Q.3 Q.4 Q.5 Why biasing is necessary in a transistor ? Write various types of biasing Draw the circuit diagram of voltage divider bias and derive an expression for stability factor. Explain microwave characteristics of a tunnel diade with series loading and parallel loading. Draw the circuit diagrams of Hartley and Colpitts oscillators and obtaine the expressions for the frequency of oscillation. Discuss diode clippling circuits when it is desired to clip the. Discuss positive and negative clamping circuit. Define hybride parameters (h-parameters) with their notations. Assignment Question Paper – II Q.1 Q.2 Q.3 Q.4 Q.5 What do you understand by thermal instability ? Explain the aaaanalysis of collector to base bias circuit. Define the following paramerters: (i) input offset voltage, (ii) input offset current, (iii) CCRR and slew rate. What is amplitude modulation ? Draw basic circuit diagram of square law diode modulator and explain its working. Write short notes on any two of the following: (i) Structure and working of MESFET (iii) Solar Cells (ii) Tunnel diode Draw the equivalent circuit of a transistor amplifier using h-parameters and derive expression for current gain,input resistance, voltage gain and output resistance.