Regn. No. South Delhi : 28-A/11, Jia Sarai, Near-IIT Hauz Khas, New Delhi-16, Ph : ,

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1 1. Section-A contins 30 Multiple Choice Questions (MCQ). Ech question hs 4 choices (),, nd, for its nswer, out of which ONLY ONE is correct. From Q.1 to Q.10 crries 1 Mrks nd Q.11 to Q.30 crries Mrks ech. 3. Section-B contins 10 Multiple Select Questions(MSQ). Ech question hs 4 choices (),, nd for its nswer, out of which ONE or MORE thn ONE is/re correct. For ech correct nswer you will be wrded mrks. 4. Section -C contins 0 Numericl Answer ype (NA) questions. From Q.41 to Q.50 crries 1 Mrk ech nd Q.51 to Q.60 crries Mrks ech. For ech NA type question, the vlue of nswer in between 0 to In ll sections, questions not ttempted will result in zero mrk. In Section A (MCQ), wrong nswer will result in negtive mrks. For ll 1 mrk questions, 1/3 mrks will be deducted for ech wrong nswer. For ll mrks questions, /3 mrks will be deducted for ech wrong nswer. In Section B (MSQ),there is no negtive nd no prtil mrking provision. here is no negtive mrking in Section C (NA) s well. Regn. No , Mll Rod, G..B. Ngr, Opp. G..B. Ngr Metro Sttion Gte No. 3, Delhi Delhi DOWNLOAD CAREER ENDEAVOUR APP: E : info@creerendevour.in North Delhi : 33-35, Mll Rod, G..B. w : ww Ngr w.creerendevour.in (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : ,

2 Section-A : Multiple Choice Questions (MCQ) Q.1 to Q.10: Crry 1 Mrk ech. 1. he volume of first Brillouin zone of simple cubic lttice of lttice constnt is () 3 3. he simplified Boolen expression ssocited with the K mp shown in Figure (X indicte don t cre ) is () A + BC A + BC ABC + AD A + ABCD 3. In the circuit given below, the thermistor hs resistnce 3 k t 5 C. Its resistnce decreses by 150 per C upon heting. he output voltge of the circuit t 30 C is 1V 1 K V out () 3.75 V.5 V.5 V 3.75 V 4. he logic circuit shown in the given figure cn be minimized to () 5. Find ˆ S V nds over the prt of the surfce z 9 x 9y bove the (x, y) plne if V xyiˆ x z kˆ () 0 North Delhi : 33-35, Mll Rod, G..B. Ngr (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : ,

3 6. If mtrix A cn be digonlized using n orthogonl mtrix, then the mtrx A is () symmetric skew-symmetric idempotent none of these For wht vlues of nd b, the differentil eqution () 1, b 1 1, b 1 y x dx x by dy 0 is exct 3, b cn hve only positive vlue = 1, b cn hve ny vlue. 8. An insulted chmber is divided into two hlves of volumes. he left hlf contins rel gs t temperture 0 nd the right hlf is evcuted. A smll hole is opened between the two hlves, llowing the gs to flow through nd the system comes to equilibrium. No het is exchnged with the wlls. he finl temperture of the system f is () 0 f 0 f 0 f 0 f / 9. A monotomic gs is compressed isothermlly nd then llowed to expnd dibticlly. Which of the following P-V digrm is correct? P P () V V P P V 10. he spectrl energy curve of the moon is found to be ( Given : = (13) 10 8 Wm K 4 ) u V where 470 nm u nd hve stndrd menings. he pproximte temperture of the moon s surfce is 5 4 () K K K K Q.11 to Q.30: Crry Mrks ech. 11. A voltge signl 10 sin t is pplied to the circuit with idel diodes, s shown in figure. he mximum, nd minimum vlues of the output wveform V out of the circuit re respectively. 10 k V in 4V 4V V out 10 k () +10 V nd 10 V +4 V nd 4 V +7 V nd 4 V +4 V nd 7 V North Delhi : 33-35, Mll Rod, G..B. Ngr (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : ,

4 1. In the figures below, X nd Y re one bit inputs. he circuit which corresponds to one bit comprtor is 4 () X Y X < Y X > Y X = Y X Y X > Y X < Y X = Y X X < Y X X = Y Y X > Y X = Y Y Y X < Y X > Y 13. In the op-mp circuit shown in the figure, V i is sinusoidl input signl of frequency 10 Hz nd V 0 is the output signl. 0.01F 10K V i 1K + V 0 he mgnitude of the gin nd the phse shift, respectively, re close to the vlues () 5 nd 5 nd 10 nd zero 10 nd 14. A silicon trnsistor with built-in voltge 0.7V is used in the circuit shown, with V BB = 9.7V, R B = 300k, V CC = 1V nd R C = k. Which of the following figures correctly represents the lod line nd the quiescent Q point? R C R B V BB + + V CC () i C ( A) I 3 = B 35A 3A 30A Q V CE(V) i C (ma) I B 6 = 35A 3A 30A Q 1 0 V (V) CE North Delhi : 33-35, Mll Rod, G..B. Ngr (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : ,

5 5 i C (ma) I B 6 = 35A 3A 30A i C ( A) I 3 = B 35A Q 3A 30A 1 0 V (V) CE 15. he following Boolen expression V (V) CE Y A B C D A B C D A B C D A B C D A B C D A B C D cn be simplified to () A B C A D A B C A D A B C A D A B C A D 16. A sinusoidl input voltge v in of frequency is fed to the circuit shown in the figure, where C 1 >> C. If v in is the pek vlue of the input voltge, then output voltge (v out ) is: C 1 v in C v out () v in v0 sin t v in v in sin t 17. Find the flux of vector field V through the hemisphericl bowl of rdius one with its bse on x-y plne nd the V r sin rˆ ˆ ˆ origin t the centre of the bse. he vector field is () 18. Eigenvectors of 3 3 mtrix A corresponding to the eigenvlues 1, 1, 3 re 1, 0, 1, 0, 1, 1 1,1,0 respectively. hen the mtrix A is nd () none 19. he first few terms of ylor expnsion of function cos 3 North Delhi : 33-35, Mll Rod, G..B. Ngr (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : , x f x e x bout x = 0 is 3 4 x x x x () x...! 3! x x x x 1 x... x A compressor designed to compress ir is used insted to compress helium. Assuming the compression is dibtic nd the strting pressure is the sme for both the idel gs, which of the following is correct () he ir compressor overcools he ir compressor overhets he ir compressor neither overcools nor overhets he ir compressor first overhets nd then overcools

6 1. wo identicl bodies hve internl energy U NC, with constnt C. he vlues of N nd C re the sme for ech body. he initil tempertures of the bodies re 1 nd, nd they re used s source of work by connecting them to Crnot het engine nd bringing them to common finl temperture. he work delivered is () NC 1 NC If A 0 0, then eigenvlues of A re 0 0 (),, 0,, 3. he vlue of 1 i 4 is equl to () 1,, NC NC 1, 0, he vlue of F dr, where C is the curve bounded by x y 4, x y 16, x 0 nd C F yiˆ xj ˆ zk ˆ, is () For fcc lttice, the Miller indices for the first Brgg s pek (smllest Brgg ngle) re () (00) (111) (110) (100) 6. he glncing ngle for first order diffrction mximum is 60º for X-rys of wvelength 10.0 Å incident on the (100) plne t simple cubic crystl. he interplnr distnce is ().88Å 5.77Å 8.64Å 11.5Å 7. he Miller indices of plne, which cuts off intercepts in the rtio 1 : 3b : c long the three xes, where, b, c re primitives, re () Figure shows process ABCA performed on n idel gs of n moles P P B 6 P 1 1 he net het given to the system is A C P P P P 1 1 () nr n nr 1 nrn nr 1 P P1 P P1 nr n nr 1 nrn nr 1 North Delhi : 33-35, Mll Rod, G..B. Ngr (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : ,

7 9. A Crnot engine is mde to operte s refrigertor with n idel gs s working substnce. he representtion of Crnot cycle of it s n enthlpy (H) entropy (S) digrm is 7 H H () S S H H 30. he vnder Wls gs eqution for mole is S P V b R V he vlue of C P C V where C P nd C V re the molr specific het cpcity t constnt pressure nd volume respectively when V is () zero R R R/ Q.31 to Q.40: Crry Mrks ech If A nd 0 0 Section-B : Multiple Select Questions (MSQ) () A nd B both re digonlizble Eigenvlues of both A nd B re rel distinct 3. Consider the fourier expnsion of f x x x x / 1 3 B 0 0, then choose the correct options is/re 0 0 / 4 then which of the following sttements is/re incorrect. () Fourier expnsion of Fourier expnsion of f f x is x is At x = 0 fourier expnsion converges to At x = 0 fourier expnsion converges to S A is digonlizble but not A Eigenvlue of only A is rel nd distinct cos x cos 3x sin x sin x cos x cos 3x sin sin... x x North Delhi : 33-35, Mll Rod, G..B. Ngr (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : ,

8 33. Consider the differentil eqution, y" 9 y cos 3 x, then which of the following sttements is/re correct. () prticulr integrl of differentil eqution is 1 sin 3 6 x x prticulr integrl of differentil eqution is 1 sin 3x 6 Roots of the uxiliry eqution re complex conjugte Roots of the uxiliry eqution re rel numbers 34. A reversible engine cycle is shown in figure (-S digrm). Find out the incorrect sttement(s)- 300 (K) A 8 00 C B S(J/K) () he efficiency of engine is 1 5. Het tken by the engine is 105 J. Work done by the engine is J he efficiency of engine is A body of constnt het cpcity C P nd temperture i is put into contct with reservoir t temperture f. If i > f, which of the following is/re correct? () he finl temperture of the reservoir is i. f he chnge in the entropy of the body is CPn i i f he chnge in the entropy of the universe is CP 1 n f i i f he chnge in the entropy of the universe is CP 1 n f i 36. A student ws observing vrious properties of second-order phse trnsition nd oberved the following four grphs V C P (I) (II) rns rns g S (III) (IV) rns rns Which of the following grph/grphs did he mesure wrong? () I II III IV North Delhi : 33-35, Mll Rod, G..B. Ngr (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : ,

9 37. Choose the correct sttement from the following () If (43) re the Miller indices of plne, then intercepts mde by the plne in the crystllogrphic xes re 3, 6b nd 4c respectively he miller indices of plne prllel to z-xis re (110) b If plne intercepts,,3c in simple cubic unit cell. he miller indices re (361). he miller indices of set of prllel plnes which mkes intercepts in the rtio 3 : 4b on the X nd Y xes re prllel to z-xis re (430) 38. Choose the correct sttement(s) from the following () he first Brillouin zone nd simple cubic in region bounded by kx, k G he Brgg s lw in reciprocl lttice is given by k G 0 y he second Brillouin zone of simple cubic is region bounded by kx, ky 9 he second Brillouin zone of simple cubic is region bound by kx, ky 39. he incorrect sttement(s) from the following is/re () the coordintion number of NCl structure is 6 he number of molecules per unit cell in NCl lttice is 8 he distnce between nerest N + nd Cl ions in unit cell of NCl of lttice constnt is he distnce between nerest like ions in unit cell of NCl of lttice constnt is 40. Consider circuit shown in figure. he diodes D 1 nd D re mde of silicon nd the voltge drop cross ech of them is 0.7V in the forwrd bis condition. D z is the zener diode of the brekdown voltge 6.8V. If the input voltge Vi 10sin100 tv, which of the following sttements is/re correct. V i D 1 D z D () he mximum output voltge is 7.5 V he minimum output voltge is 10 V he mximum output voltge is 10 V he minimum output voltge is 0.7 V North Delhi : 33-35, Mll Rod, G..B. Ngr (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : ,

10 Section-C : Numericl Answer ype (NA) 10 Q.41 to Q.50: Crry 1 Mrk ech. 41. he current through the Zener diode in figure is ma 10V 4. he re of the prt of the cone 3 is.. k Rz = 0.1k I z R 1 Vz = 3.3V 3.5 V z x y (bove x-y plne) which is inside the sphere x y z 16, 43. If 4 A 1 1 nd / 0 B 0 / 4, then the vlue of det sin Asin B is If the solution of the differentil eqution, y ' 4xy xy 0 hs the form of n is y ce 4x 1 n, then the vlue If is cube roots of unity nd 7 1 A B, then the vlue of product (AB) is equl to 46. An idel monotomic gs initilly t t 1 =10ºC is reversibly nd dibticlly expnds to 10 times its initil volume. he finl temperture is ºC (nerest integer) 47. he chnge in entropy in heting mole of silver t constnt volume from 0ºC to 30ºC. (C V for silver is 5.85 cl/ºc-mol) is cl/k (to two plce deciml) 48. he number of wys in which two spin hlf prticles re distributed in three energy levels is 49. Copper crystl hs fce-centered cubic structure. he tomic rdius of copper tom is 1.8Å. If the tomic mss of the copper is 63.5, the density of copper metl is 10 3 kg/m If the six distinguishble prticles re distributed over three non-degenerte levels of energies 0, nd, the totl energy of the microsttes for which the probbility is mximum is n. he vlue of n is Q.51 to Q.60: Crry Mrks ech. 51. he following signl V in of pek voltge 8V is pplied to the non-inverting terminl of n idel op-mp. he trnsistor hs VBE 0.7 V, 100; VLED 1.5V, VCC 10 V nd VCC 10V. 10V 10V 100 8k LED k +V CC V in V CC 15k Q 1 6 V 4 V V 0 V 4 V 6 V he number of times the LED glows is V in t North Delhi : 33-35, Mll Rod, G..B. Ngr (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : ,

11 5. A diode D s shown in the circuit s n i v reltion which cn be proximted by 11 i D vd v D, for vd 0 0, for vd V + D i D v D he vlue of v D in the circuit is V 53. If x, y, z re crtesin coordinte nd r,, re sphericl co-ordinte nd J is Jcobin trnsforming the vribles from crtesin to sphericl, nd we hve x, y, z J r,, then J r, is equl to If the fourier expnsion of f x x, b is given by 4 f x x x 4 th overtone to 6 th overtone is then the vlue of, if f x x, x, nx nx f x cos bn sin b b, n n1 n1 1 is 55. In the fourier expnsion of,, with f x f x, the rtio of coefficients of grms of ice t 0ºC re dropped into beker contining 10 grms of wter t 70ºC. he finl temperture of the mixture neglecting the het cpcity of the beker is ºC (to two plce deciml), where het of fusion of ice is 80 cl/g. 57. he eqution of stte for gs is P 3 V br, nd b re constnts. If the vrition of the internl V U energy U with volume V t constnt temperture is x. he vlue of x is V V (nswer should be integer). 58. For lithium, the fermi energy is 4.7 ev nd the density of electrons is /m 3. he electron density for metl with fermi energy.35 ev, is 10 8 /m If substnce t its boiling point is in equilibrium in liquid nd vpour phse such tht the volume in the vpour phse is very lrge s compred to tht in liquid phse. If the vpour is considered to be n idel gs, the vpour pressure t the boiling point vries with boiling point s P constnt exp n where is sme constnt. he vlue of n is 60. If the specific het of liner tritomic molecule t very high temperture is x times k B, the vlue of x is ***** END OF QUESION PAPER ***** North Delhi : 33-35, Mll Rod, G..B. Ngr (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : ,

12 Spce for Rough Work 1 North Delhi : 33-35, Mll Rod, G..B. Ngr (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : ,

13 13 II-JAM PHYSICA-PH ES SERIES - 1 (hermodynmics + Solid Stte & Electronics + Mthemticl Physics ) Dte : Booklet: A ANSWER KEY Section-A : Multiple Choice Questions (MCQ) () 6. () () () () () () 30. Section-B : Multiple Select Questions (MSQ) 31. (), 3., 33. (), 34., 35., 36. (), 37. (),,, 38. (),, 39., 40. (), Section-C : Numericl Answer ype (NA) 41. () 4. (8) 43. (0) 44. ( 0.5) 45. (1) 46. ( 14 to 10) 47. (0.60 to 0.6) 48. (6) 49. (8.8 to 9.0) 50. (6) 51. (3) 5. () 53. (4) 54. ( ) 55. (1.4) 56. (47 to 50) 57. (3) 58. (1.6 to 1.65) 59. (0.5) 60. (4.4 to 4.7) North Delhi : 33-35, Mll Rod, G..B. Ngr (Opp. Metro Gte No. 3), Delhi-09, Ph: , South Delhi : 8-A/11, Ji Sri, Ner-II Huz Khs, New Delhi-16, Ph : ,

fiziks Institute for NET/JRF, GATE, IIT JAM, M.Sc. Entrance, JEST, TIFR and GRE in Physics

fiziks Institute for NET/JRF, GATE, IIT JAM, M.Sc. Entrance, JEST, TIFR and GRE in Physics Solid Stte Physics JEST-0 Q. bem of X-rys is incident on BCC crystl. If the difference between the incident nd scttered wvevectors is K nxˆkyˆlzˆ where xˆ, yˆ, zˆ re the unit vectors of the ssocited cubic