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1 -5, Mll Rod, G..B. Ngr, Opp. G..B. Ngr Metro Sttion Gte No., Delhi- 9 8-/, Ji Sri, Ner II Metro Sttion, Gte No., Delhi- 9 DOWNLOD CREER ENDEVOUR PP E : info@creerendevour.com South Delhi : 8-/, Ji Sri, w : Ner-II w ww.creerendevour.com Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

2 PR-. If the rdius of circle is incresed by 5%, its re is incresed by 5% % 75% none. In the following figure, if PQ S, PQR º nd RS º, then QRS? P Q º S º R 4º 5º 7º 6º. ime t Consider the speed time grph. It shows two trins strting simultneously on prllel trcks, with reference to this grph, which of the following sttement is not correct? rin B hs n initil ccelertion greter thn tht of rin rin B is fster thn rin t ll times Both trins hve the sme speed t time t. Both trins trvel the sme distnce in time t units. 4. villge hving popultion of 4 requires, 5 liters of wter per hed perdy. It hs tnk mesuring m 5m 6m. he wter of tnk will lost for (m = liters) dys dys 4 dys 5 dys 5. he next figure in the rrngement is 6. person goes from to B lwys moving to the right or downwrds long the lines. How mny different routes cn he dopt? B South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

3 7. squre is divided into four rectngles s shown below 5 48 he length of ech side of rectngles re nturl numbers. he re of two rectngle re indicted in the figure. Wht is the length of ech side of the squre? 5 Dt insufficient 8. hree persons strt wlking together nd their steps mesure 4 cm, 4 cm nd 45 cm respectively. hen, the minimum distnce ech should wlk so tht ech cn cover the sme distne in complete steps is 5m, cm 5m, 4 cm 75m, 6 cm m, 8 cm 9. If bus trvels km in 4 hours nd trin trvels 5 km in 5 hours t uniform speeds, then the rtio of the distnces trvelled by them in one hour is 8 : 5 5 : 8 5 : 7 :. he vlue of reminder when 7 8 is divided by 8 is 7 6. bg contins red, green nd blue blls. wo blls re drwn rndom. he probbility tht none of the bll is blue is o completely pve rectngulr floor of size 4 5, we need n numbers of squre tiles, then n is 4 5. he number t the plce of question mkr (?) is 9, 6, 54, 7,?, Loction of B is north of nd loction of C is est of. he distnces B nd C re 5 km nd km respectively. he shortest distnce (in km) between B nd C is 6 km km 7 km 7 km 5. student on her first 5 tests receives on n verge score of N points. In her sixth test she exceeds her previous verge score by 4 points, then wht is the verge score for the first 6 tests? N + N + N + 4 N + 6. wo trins ech 5m long, re running in opposite directions on prllel trcks. heir speeds re 45 kmph nd kmph respectively. hen the time tken by the slower trin to pss the driver of the fster one is sec 4 sec 48 sec 6 sec 7. D is point on C in the following tringle such tht DB BC. hen BD (in cm) is D C = cm 8cm C 6 cm B South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

4 (/4) ( /4) 8. Let r be positive number stisfying r r 4 4. hen r r? (4/4) If X 9 then the possible vlue of X X will be 4 4. wtch which gins uniformly is minutes low t noon on Mondy nd is 4 min. 48 sec fst t p.m. on the following Mondy. When ws it correct? p.m. on uesdy p.m. on Wednesdy p.m. on hursdy p.m. on Fridy PR-B. prticle of rest mss m initilly t rest is subjected to constnt force F. ccelertion of the prticle t the 4 moment its speed becomes c is F m F m F 4m F 8m. prticle of mss m moves under centrl force F kr. If ngulr momentum of the prticle is l then rdius of stble circulr orbit is mk /6 mk /6 mk /6 4mk. wo events re simutneous in one inertil frme of reference S. In nother frme of refernce S ' which moves long the line joining the two events with velocity 4 5c with respect to S, the two events re seprted by distnce 6 8 m. Sptil seprtion between the two events in S frme will be.6 8 m 8 8 m 6 8 m m 4. prticle of mss m moving with speed v collides ellsticlly with nother prticle of mss m t rest. If ngle of scttering in centre of mss frme is 9º then speed of mss m fter collision is v v 6 5. circulr disc of mss M nd rdius R rolls down on n inclined plne of inclintion º. Friction force on the disc is Mg Mg 6 v 6 Mg v 6 Mg 6. wo prticles of mss m re ttched to the ends of mssless rod of length. he system is free to rotte in three dimensions bout its centre of mss. he degenercy of the first excited stte is Non-degenerte wo-fold degenerte hree-fold degenerte Four-fold degenerte /6 South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

5 5 7. For the circuit shown below the vlue of V nd I re +5 V + D I k V +5 D +5 V, m + V,.6 m +5 V,.4 m + V,.4 m 8. In the figure, the LED V =5v cc K K K LED K S S emits light when both S nd S re closed emits light when both S nd S re open emits light when only S nd S re closed does not emit light, irrespective of the switch positions 9. Choose the correct sttements relting to the circuit of figure +V + P V i V + For V i = v, P = For V i = +v, P = For V i = v, P = lwys For V i = v, P cn be either or. Consider wve function with zimuthl dependence: r,, sin cos he possible outcomes of mesurement of the z-component of the orbitl ngulr momentum with probbilities is,, nd with equl probbilities 4,,, with equl probbilities 4 nd with, nd with equl probbilities 4 nd with, nd with probbilities South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

6 . he eigenfunction for the ground stte of the H-tom hs the form r r/ 6 N e nd excited stte / r r N r e. Using the orthogonlity condition for nd, the constnt is 4 4. Consider two non-intercting prticles p nd q ech with mss m in cubicl box of size. ssume tht the energy of the prticles is 6 E m m heir eigenfunctions re n n n xp, y p, z p nd n n n xq, yq, zq x y z respectively. When the p nd q re x y z identicl spin hlf fermions in symmetric spin stte of the corresponding wvefunction (spce) is xp, yp, z p xq, yq, zq xq, yq, zq xp, yp, z p xp, yp, z p xq, yq, zq xq, yq, zq xp, y p, z p xp, yp, z p xq, yq, zq xq, yq, zq xp, yp, z p xp, yp, z p xq, yq, zq xp, y p, z p xq, yq, zq xp yp z p xq yq zq,,,,. Consider the following two functions f( t) g( t) / / t t f t nd nd F nd G re the Fourier rnsform of sttement is CORREC? Re F Re G, Im F Im G Re F Re G, Im F Im G Re F Re G, Im F Im G Re F Re G, Im F Im G g t respectively. Which of the following South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

7 7 4. Expnd the fourier series of squre wve, f( x) then =? nd b =?, b, b, b 5. Let polynomil Pn ( x ) is one linerly independent solution of differentil eqution, then select the true sttement. ( x ) y xy n( n ) y P ( ) n! P n () n ( n!) P () n P ( ) 5 x, b 6. toms fixed t lttice sites. Ech toms cn hve mgnetic moment µ B nd µ B in the z-direction. If f(u) denote the probbility tht the mgnetic moment of the system is µ. ssuming sttisticl mechnics to hold, find the vlue of f µ / f 5 4 B system of two energy levels with energy difference E is populted by N prticles t temperture. he prticles populte the energy levels ccording to the clssicl distribution lw. he specific het in the limits nd vries with E respectively s E ( E) e, ( E) ( E), ( E) e E E Ee, E E e E 8. In cryogenic experiment, het is supplied to smple t the constnt rte of. wtts. he entropy of the smple increses with time s shown in the tble. Wht is the temperture of the smple? ime : 4 6 (sec) Entropy :.. (J/K) K K 8 K 9 K 9. system hs energy level E, E, E...where first energy level is non-degenerte, first excited stte is doubly degenertes, second excited stet is triply degenerte nd so on. Four non-intercting bosons re plced in this system. If the totl energy of these bosons is 6E, the number of microsttes is F xy z iˆ x ˆj xz k ˆ then F dr?, long unit circle on x-y plne. none C South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

8 4. Which of the following sttements re correct For n idel fermi gs t bsolute Zero the pressure is proportionl to V 5/. t boiling point, the chemicl potentil in the vpour phse is less thn tht in the liquid phse In second order phse trnsition, the plot of entropy s function of temperture shows discontinuity In first order phse trnsition, t the trnsition temperture, specific het of the system diverges nd its entropy hs finite discontinuity. 4. he skin depth in luminium (l) with conductivity 7.6 m t.6 MHz is 66.4µm 54.5 µm 74.4 µm 46.9 µm 4. n infinitely long thin non-conducting wire is prllel to the z-xis nd crries uniform line chrge density. It pierces thin non-conducting sphericl shell of rdius R in such wy tht the rc PQ subtends n ngle º t the centre O of the pshericl shell, s shown in the figure. he permittivity of free spce is. Which of the following sttement is true? R he electric flux through the shell is he z-component of the electric field is zero t ll the º points on the surfce of the shell he electric flux through the shell is R he electric field is norml to the surfce of the shell t ll points 44. he mgnetic field of n unknown mode of rectngulr wve guide of dimensions b is given by cos.5 i kzt H z H xe, where x nd y re in cm. he cut-off wvelength c of the mode is : cm 4 cm cm 8 cm 45. chrge q is t rest t the origin in system S. he chrge q B flies t speed v on trjectory prllel to the x-xis t y = d. he electromgnetic force on q B s it crosses the y-xis is qqb v / c ˆ y 4 d qqb 4 d v / c P Q yˆ R z O 8 q q B 4 d v / c yˆ / 4 d v / c q q B yˆ PR-C 46. In n experiment, the resistnce of rectngulr slb of semiconductor is mesured s function of temperture. he semiconductor shows resistnce of t K nd t 5 K. Its energy bnd gp is [Given: ln(5) =.78, ln() =.].8 ev.4 ev.69 ev.86 ev South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

9 47. n intrinsic smple of silicon is doped with P nd l with doping densities of.5 6 /cm nd.5 6 /cm respectively. If intrinsic crrier concentrtion of Si is.5 /cm. he electron nd hole densities per cm re, respectively , 4 6.5,.5 6 4, , 48. he electrons moves with reltivistic speeds on grphene sheet nd ssumed to follow the dispersion reltion ( k) vk (where v is constnt) over the entire k-spce, then the dependence of zero point energy (E ) per unit re on electron density (n) is E n / / E n E n / E n / 49. he generting function for cnonicl trnsformtion, Q ln p, P pq is 9 Q qe qe Q Q qe qe Q 5. Cnonicl trnsformtion performed on Lgrngin L q through generting function, F q tn Q t sec Q. he trnsformed Hmiltonin is H P P Q PQ 5. non-reltivistic prticle moves under the potentil V x x prticle will be x. he phse spce trjectories of the p x p x x x p x p x x 5. lw energy prticle of mss m is scttered from potentil of the following form V r V for r for r Using first Born pproximtion, one cn estimte the totl cross-section to be 64 9 mv 6 9 mv 9 mv 6 5. prticle of mss m is moving in one dimensionl box defined by the potentil, x V, otherwise x mv South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

10 he ground stte energy using the tril function x, s shown in figure, is m m m m 54. i z e dz iz is (where C e R is prllelogrm with vertices CR ( i ) ) i i i i x 55. he solution of differentil eqution y 6y 9y xe is ( c c x x ) e x ( c c x x ) e x ( c c x 6 x ) e x None 56. Consider n n mtrix (n > ) whose elements re defined s ij = ij. he sum of the eigenvlues of the mtrix is n n n n n 57. rndom vrible x hs the density function f x x x he probbility tht x lies between nd, weill be 6 6 n n 4 n reversible engine works between three therml reservoir, B nd C. he engine bsorbs n equl mount of het from the therml reservoir nd B kept t temperture nd B respectively, nd rejects het to therml reservoir C kept t temperture C. he efficiency of the engine is times the efficiency of the reversible engine which works between the two reservoirs nd B. Which of the following reltion is correct? B C B C B C C B South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

11 59. he three lowest energy levels of certin molecule re E, E nd E. t sufficiently low temperture, which of the follow levels re populted? E only E nd E both E, E nd E ll E nd E both n P V nb nr, V 6. he eqution of stte for vnder Wl s gs is where the symbols hve stndrd menings. he expnsion for the internl energy (where U is some constnt) is n U ncv U V n U nc U V v n U ncv U V 6. Consider the rtio r n U nc U V v to be determined by mesuring dimensionless quntity. If the error in the mesurement of is, then wht is the error r in determining r? 6. he electric field E is mesured t point P(,, d) generted due to vrious chrge distributions nd the dependence of E on d is found to be difference for different chrge distributions List-I contins different reltions between E nd d. List-II describes different electric chrge distributions long with their loctions. Mtch the functions in List-I with the relted chrge distributions in List-II. List-I List-II (P) E is independent of d (I) point chrge Q t the origin (Q) E d (R) E d (II) smll dipole with point chrge Q t (,, l) nd Q t (,, l). ke l << d (III) n infinite line chrge coincident with the x-xis, with uniform liner chrge density (S) E d P-V, Q-III, IV, R-I, S-II P-V, Q-III, R-I, II, S-IV (IV) wo infinite wires crrying uniform liner chrge density prllel to the x-xis. he one long (y =, z = l) hs chrge density nd the one long (y =, z = l) hs chrge density. ke l d (V) Infinite plne chrge coincident with the xy-plne with uniform surfce chrge density P-V, Q-III, R-I, IV, S-II P-IV, Q-II, III, R-I, S-V South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

12 6. Find the inverse element of the element x x x x numbers) of group under multipliction, (where x = none zero rel / x / x / / x x / x / x / / x x / 4x / 4x / 4 / 4 x x / x / x / x / x 64. light bem from lser pointer, on norml incidence, crete circulr spot of dimeter m on perfectly reflecting surfce. If the rdition pressure on the surfce due to totlly reflected bem is N/m, the time verged power of lser bem (in mw) is: n infinite stright wire crries the current, I t, for t I, for t he mgnetic vector potentil of this current t distnce s from the wire is given by I ct ct s n zˆ s he mgnetic field B t distnce s cn be represented by: 5 I c ct s ˆ I ct s ct s ˆ I ct s ct s sˆ I c s ct s ˆ 66. Consider the following initil vlue problem dy x y; y dx Using Euler s method, one cn fined the vlue of y t x =, to be (use step size h =.5) n insulting circulr ring of rdius b lies in x-y plne, centred t origin. It crries liner chrge density sin, where is constnt nd is the zimuthl ngle. he ring is now set spinning t constnt ngulr velocity bout z-xis. he power rdited from it will be 4 4 µ b 6c µ b 4c 4 µ b 4c µ b 6c 68. J K Clock C Q Q J Q J Q J Q K C Q K C Q K C Q Output South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

13 he bove circuit produces the output sequence: 69. For the circuit shown below,.5 V CB V nd +5 V 5 k. he vlue of I Q is V o 5 V.68 m.99 m.4 m None of these 7. Consider hydrogen-like ionized tom with tomic number Z with single electron. In the emission spectrum of this tom, the photon emitted in the n = to n = trnsition hs energy 74.8 ev higher thn the photon emitted in the n = to n = trnsition. he ioniztion energy of the hydrogen tom is.6 ev. he vlue of Z is Consider the following sttements (P) he ground stte term for the configurtion 4p 5s in L-S coupling is P /. (Q) otl degenercy of 4p 5s levels is. (R) he ground stte term for the tom F(z = 9) is P /. Which of the following sttements re correct? Only P nd Q Only Q nd R Only P nd R None is correct 7. gs lser cvity is designed to operte t.8 µm with cvity of length d meters with this setup the frequency is found to be 5 Hz lrger thn the desired frequency. If the effective length of the cvity is chnged by metres to retune the lser, then the cvity length d is.6 m.64 m.75 m.4 m 7. ccording to the shell model, the nucler spin nd prity of the ground stte 7 5 I nucleus is he vlue of the third component of isotopic spin of bryon X in the following strong interction : n X K K, is 75. he qurk content of three prticles X, Y nd Z re uds, uus nd dd, respectively. Which of the following sttement(s) is/re CORREC? I. Prticle X nd Y hve Bryon number, B. II. Prticle Y hve strngeness quntum number, S. III. he electric chrge of prticle Z is zero. IV. Prticle Z belongs to meson fmily. II only I, II nd III II nd III I, III nd IV I Q South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

14 4 Spce for rough work South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

15 5 Physicl Sciences (NE-JRF/GE) est Series- E Dte: NSWER KEY PR PR-B PR-C South Delhi : 8-/, Ji Sri, Ner-II Metro Sttion, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll Rod, G..B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

200 points 5 Problems on 4 Pages and 20 Multiple Choice/Short Answer Questions on 5 pages 1 hour, 48 minutes

200 points 5 Problems on 4 Pages and 20 Multiple Choice/Short Answer Questions on 5 pages 1 hour, 48 minutes PHYSICS 132 Smple Finl 200 points 5 Problems on 4 Pges nd 20 Multiple Choice/Short Answer Questions on 5 pges 1 hour, 48 minutes Student Nme: Recittion Instructor (circle one): nme1 nme2 nme3 nme4 Write