Regn. No. North Delhi : 33-35, Mall Road, G.T.B. Nagar (Opp. Metro Gate No. 3), Delhi-09, Ph: ,

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1 . Section-A contins Multiple Choice Questions (MCQ). Ech question hs 4 choices (),, nd, for its nswer, out of which ONLY ONE is correct. From Q. to Q. crries Mrks nd Q. to Q. crries Mrks ech.. Section-B contins Multiple Select Questions(MSQ). Ech question hs 4 choices (),, nd for its nswer, out of which ONE or MOE thn ONE is/re correct. For ech correct nswer you will be wrded mrks. 4. Section -C contins Numericl Answer Type (NAT) questions. From Q.4 to Q.5 crries Mrk ech nd Q.5 to Q.6 crries Mrks ech. For ech NAT type question, the vlue of nswer in between 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 mrk questions, / mrks will be deducted for ech wrong nswer. For ll mrks questions, / mrks will be deducted for ech wrong nswer. In Section B (MSQ),there is no negtive nd no prtil mrking provisions. There is no negtive mrking in Section C (NAT) s well. egn. No. -5, Mll od, G.T.B. Ngr, Opp. G.T.B. Ngr Metro Sttion Gte No., Delhi- 9 Delhi- 6 DOWNLOAD CAEE ENDEAVOU APP E : info@creerendevour.in South Delhi : 8-A/, Ji Sri, w Ner-IIT : ww w.creerendevour.in Huz Khs, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll od, G.T.B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

2 Section-A : Multiple Choice Questions (MCQ) Q. to Q. : Crry Mrk ech., then the Jcobin of,. If x r cos, y r sin x y w.r.t. r, will be () r r r. A prticle of mss m nd energy E, moving in the positive x-direction, is incident on step potentil t x =. The height of the potentil is V E V. At x x, the probbility of finding the prticle the electron is /e times of the probbility of finding it t x =. If () m V E, then the vlue of x is 4 4. Electrons with kinetic energy of 6. J / mol re evolved from the surfce of metl, when exposed to rdition of wvelength of 6 nm. The minimum mount of energy required to remove n electron from the metl tom is (). J. J 6.6 J 6.6 J 4. The uncertinity principle for free prticle in one dimension cn be written s (Symbols hve their usul mening) () x 5. A prticle of unit mss moves in ellipticl pth x x x 4 4 x 4 F xi yj. If y under the ction of force 6 ˆ 5 ˆ speed of prticle t, is then its speed t (, ) will be () 6. A prticle is thrown with speed m/s t 45º to horizontl. Another prticle of sme mss is thrown sec lter from sme point with speed m/s t 45º to the horizontl. The two prticles collide in ir nd stick to ech other. How fr from the point of projection the two prticles fll, () meter 4 meter 5 meter 5 meter 7. For n idel fermi-gs in two dimensions, the fermi energy E F is relted to the electron concentrtion n s / () EF n / / EF n E n E n 8. A mixture of unpolrized nd circulrly polrized light is pssed through wve plte X, when the emergent light is nlyzed using nicol-prism, position of two mxim nd two minim (not zero) is found. The unknown wve plte X is () Hlf wve plte Full wve plte Qurter wve plte Nicol prism 9. At ºC nd 75 torr pressure, the men free pths for rgon gs (Ar) nd nitrogen gs (N ) re 99 nm nd 75 nm respestively. The rtio of the dimeter of rgon to tht of nitrogen molecule is () : 5 5 : 9 : 5 5 : 9 F F South Delhi : 8-A/, Ji Sri, Ner-IIT Huz Khs, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll od, G.T.B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

3 . A long wire lying in z-direction crries time vrying current. At some point (x, y, z) ner the middle of wire which of the following is true for electric field () Ex Ey Ez Ex Ey, Ez E E, E E, E, E x y z Q. to Q. : Crry Mrks ech.. The vlue of the following limit: px qx x y z ln ln Lim x x is equl to () p q p / q. If z nd z be two non-zero complex numbers. If z z z z, then which of the following is COECT? () e z z, Im z z z z z z e, Im e z z, Im z z z z z z e, Im. A quntum prticle of mss m is confined to rectngulr region in the x-y plne, whose vertices re given s (, L), ( L, L),( L, L),(, L). Which of the following represents n dmissible wve function of ground stte of the prticle? () x y sin sin L L L x y cos cos L L L 4. A prticle of mss m moves under the -D potentil Heisenberg s uncertinty principle x p x x y sin cos L L L x y cos sin L L L V x V x, where V is positive constnt. Using, the ground stte energy of the prticle cn be estimted to be () V 4m / V 4m / V 4m / V 4m / 5. A circulr disc hs mss M, rdius, nd boundry eqution x y. Its mss density is x. Moment of inerti of disc bout n xis through its centre nd perpendiculr to its plne is M M () 4 M 5 M 6. A hypotheticl two dimensionl crystl consisting of toms rrnged on squre grid s shown in figure : The reciprocl bsis vectors cn be written s South Delhi : 8-A/, Ji Sri, Ner-IIT Huz Khs, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll od, G.T.B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

4 ˆ i nd ˆj () iˆ ˆj nd iˆ ˆj ˆ i nd ˆj iˆ ˆj nd iˆ ˆj 7. A uniform string of lengths l is fixed t both ends such tht tension T is produced in it. The string is excited to vibrte with mximum displcements mplitude. The mximum kinetic energy stored in entire string for its first overtone is T T T () 4 Tl l l 4l 8. The eqution of stte of monotomic gs is given by P( V bn) nt, where b is constnt nd other quntities hve their usul menings. The rtio of the isotherml compressibility to the coefficient of volume expnsion is () P/ T T / P P/ T T / P 9. The eqution of stte of gs is given by PV relted s () G F P P T F G T T V T V V T. The free energy (F) nd the Gibbs energy (G) re V F G P P T G F T T. An electric dipole of dipole moment p is plced t centre of ring with its p long xis of the ring. Force on the dipole is (Q = chrge of ring, = rdius). pq (). In figure shown, net force on the loop is () I I ln pq V 4 I I T V ln I I 4 ln V pq I. A wire of length l nd mss m, crrying current I is plced ner long wire (fixed) s shown in the figure. Due to mgnetic ttrction the short wire moves towrds the long wire speed of the short wire t the instnt its distnce from the long wire becomes d/ is I 4 I d I m, l (Fixed) () I I l m I I l ln m I I l ln m I I l m South Delhi : 8-A/, Ji Sri, Ner-IIT Huz Khs, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll od, G.T.B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

5 . The reduced expression of AB A AB is () A B A B 4. Strting with smple of pure 66 Cu, 7/8 of its decys into Zn in 5 minutes. The corresponding hlf-life is () 5 minutes 7 minutes minutes 4 minutes 5. For Clmper circuit to operte properly, its L C time constnt should be () equl to the period T of the signl > times of the period T of the signl > times the period T of the signl < times the period T of the signl 5 +5V y 6. A B The circuit will work s () NO gte NAND gte AND gte O gte 7. If,, re three eigenvlues of squre mtrix A, then normlized eigenvector corresponding to eigenvlue is (),,,,,,,, 8. The number of nerest neighbours in hexgonl closed-pcked structure is () Suppose chrge Q is distributed within sphere of rdius in such wy tht the chrge density r t distnce r from the centre of the sphere is r Q 4 r for r for r The electric field will be mximum t distnce from the center () South Delhi : 8-A/, Ji Sri, Ner-IIT Huz Khs, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll od, G.T.B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

6 6. The electric field of n electromgnetic wve is given by i x y kt E iˆ 4 ˆj E e V / m The vlue of k nd re 7 m nd 9 5 s respectively. Then the medium is () dielectric of refrctive index free spce conducting dielectric of refrctive index.5 Section-B : Multiple Select Questions (MSQ) Q. to Q.4 : Crry Mrks ech.. Consider the following function: for x f x ; f x f x for x Which of the following sttements is/re COECT for the Fourier series expnsion of the function? (Symbols hve their usul menings) () The vlue of the function f x t x, will be -. The vlue of the Fourier coefficient n will be zero. 4 The vlue of the Fourier coefficient b n will be. n The vlue of the infinite series... will be A bem of x-rys with wvelength.4 nm is directed towrd smple. The x-rys sctter from the electrons within the smple, imprting momentum to the electrons, which re initilly t rest in the lb frme. After scttering, the x-rys re detected t vrious ngles reltive to the direction of the incoming bem using detector tht cn resolve their wvelengths. Which of the following sttements is/re COECT? () The longest wvelength mesured by the detector will be.449 nm. The mximum kinetic energy of the recoiling electron will be 4 ev. The recoil electron will be non-reltivistic in nture. If the detector mesures wvelength for the scttered x-rys of.4 nm, then the x-ry scttering ngle will be 6.. A prtile moves long stright line y = d with constnt velocity vi ˆ. At t = prticle ws t (, d). If r, be be instntneous rdil, trnsverse velocity nd cceler- instntneous polr coordintes nd vr, v, r, tions respectively then () v r v d vt v v vt d r South Delhi : 8-A/, Ji Sri, Ner-IIT Huz Khs, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll od, G.T.B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

7 4. A thin circulr disc of mss M nd rdius is mde to spin bout its xis with ngulr velocity nd plced on rough horizontl surfce due to which the disc begins to roll without sliping fter some time. Which of the following sttements is/re correct () Angulr velocity for rolling motion is / M Totl work done by the friction till the time rolling begins is 6 Work done by frictionl torque till the time rolling begins is M 9 Friction force cts in forwrd direction before rolling nd becomes zero when rolling strts. 5. In SHM t ny instnt displcement of the prticle is 4. cm nd its velocity is. m/sec. The prticle mss is 4 kg nd its totl energy is 79.5 J. If mplitude of the motion is.5 m, then () The ngulr frequency is 6 rd/sec. Displcement of the prticle is x.5 cos (6 t.) Distnce trvel by the prticle in time t.4 s from the strt is pproximtely.6 m. Mximum kinetic energy is 79.5 J. 6. Which of the following sttement(s) is/re COECT? () If the entropy of the universe increses in process, the process must be spontneous. If the entropy of the universe increses in process, the process must be non-spontneous. If we mke bll to fll freely from some height towrds the ground in ir its entropy decrese. If we rise bll to some height from the ground in ir its entropy increses. 7. A system hs two energy levels with energies E nd E. The lower level is -fold degenerte nd the upper level is non-degenerte. If there re N clsscil non-intercting prticles in the system, which is in thermodynmic equilibrium t temperture T, which of the following is/re COECT? () The frction of prticles in the upper level is 4 / e B South Delhi : 8-A/, Ji Sri, Ner-IIT Huz Khs, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll od, G.T.B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: , E k T The probbility of finding prticle in lower level is 4 / e The verge energy of the system is 4 E/ kbt 6E e E 4 E/ kbt. e. E k T B B The rtio of the verge number of prticles in the lower nd the upper level is : e.. 4 E/ k T 8. An electric dipole is plced t centre of cube of sides, with its dipole moment (p) prllel to one of the edges of cube. Which of the following is/re correct? () Mgnitude of potentil t ll corner of cube is sme Mgnitude of potentil t ll fce centre of cube is sme Mgnitude of field t ll corners of cube is sme p Mgnitude of electric potentil t corner is 9. Sodium hs bcc structure of cell hving side equl to.48 nm. Which of the following sttements re correct 9 () The hll coefficient of sodium ccording to free electron theory is given by.45 m C 9 The hll coefficient of sodium ccording to free electron theory is given by.49 m C The free electron density of sodium is.77 8 /m. The free electron density of sodium is.55 8 /m. H H 7

8 4. A long wire lying long z-xis crries current I in +z direction. Which of the following sttements is/re correct? () B dl I C : ( x ) ( y ) 4 clockwise C B t x, y Mgnetic flux is non-zero through x, y, z plne B dl C C : ( x ) ( y ) 4 Section-C : Numericl Answer Type (NAT) 8 Q.4 to Q.5 : Crry Mrk ech. 4. Consider the following differentil eqution: dy x y dx under the condition y x, the solution of the differentil eqution will blow up s x tends to (n integer). 4. A prticle is confined inside one-dimensionl box of length L. The prticle is in n eigenstte in the wvefunction of the prticle hs 4 nodes (not including the boundry). The energy of the prticle is equl to (in units of ) [An Integer] ml 4. The compton wvelength of proton is fm. (upto two deciml plces) 44. A lrge continer is filled with liquid upto height H nd plce on ground. Two holes re mde in the continer t H H height nd. Wter coming out of the two holes intersect t height NH bove ground. The vlue of N 4 is 45. Two thin rods re joined together s shown, in figure. Assume rods re uniform nd plced on smooth horizontl surfce. When n impulse is given to the system t A perpendiculr to length produces ngulr velocity wheres the sme impulse t B produces ngulr velocity. The vlue of / is A M L M L B 46. I in + L=k I out =k =k The feedbck frction of the given circuit is (upto one deciml plce) South Delhi : 8-A/, Ji Sri, Ner-IIT Huz Khs, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll od, G.T.B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

9 47. In young s double slit experiment using light, the pprtus hs two nrrow slits of unequl width. When only slit- is open, the mximum observed intensity on the screen is 4I, when only slit- is open, the mximum observed intensity is I. When both the slits re open, n interference pttern ppers on the screen. The rtio of the intensity of the principl mxim to the point where pth difference is /4 is. 48. The number of wys in which four protons cn be filled in three energy levels is. 49. i/ m m For the roots of unity z e, m, the vlue of z z z is equl to. 5. The vlue of potentil energy in n = hydrogen orbit ev. Q.5 to Q.6 : Crry Mrks ech. 5. The vlue of the integrl C x y dx y x dy, where C is the boundry of the region in the first qudrnt tht is bounded by the curves y x nd x y, will be (upto two dciml plces) 5. The flux of the vector field F z i ˆ xy ˆ j y k ˆ through the curved surfce of the cyllinder x y 6, z 4 included in the first octnt, will be (n integer) 5. Suppose liner hrmonic oscilltor of frequency nd mss m is in the stte (t t = ) exp i where nd re the ground stte nd first excited stte, respectively. The verge position of the prticle t t =, will be... (in the units of ) [An integer] m 54. A thin uniform rod is plced on rough horizontl surfce. When n impulse is given t one end perpendiculr to its length, the rod being to rotte nd trnslte. If rottion nd trnsltion stop fter time T nd T respectively then vlue of T /T is 55. As seen in lb frme, two prticles ech of mss m moving in circle of rdius under their mutul grvittionl ttrction. esultnt of centrifugl nd coriolis force on one prticle in the frme of other prticle is The vlue of K is 56. A circulr disc of mss M nd rdius rolls on horizontl circulr pth of rdius with ngulr velocity. The kinetic energy of the disc is KM, then vlue of K is 57. Suppose trin (Grib th) pproching crossing t speed.5 miles/sec sounds whistle of frequency 4 cycles/sec, when t distnce 4 miles from the crossing. Speed of sound in ir is. miles/sec. Wht frequency is herd by the observer stnding t miles wy on the stright rod from the crossing t right ngle. 9 KGm. TAIN OBSEVE South Delhi : 8-A/, Ji Sri, Ner-IIT Huz Khs, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll od, G.T.B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

10 58. The vlues of het trnsfer nd work trnsfer for the process of thermodynmic cycle re given below : Process Het trnsfer (kj) Work trnsfer (kj) The therml efficiency of the cycle is. 59. If ˆ C F dr F n ds, where S is diphrgm enclosing circuit C, F r ( is constnt S vector nd ˆ ˆ ˆ r xi y j z k) nd r dr A ds C, then vlue of A is. S 6. When reltivistic chrge prticle is thrown into perpendiculr mgnetic field, it moves in circulr pth. If rdius of circulr orbits be nd for kinetic energies m c nd m c respectively then vlue of is. ***** END OF THE QUESTION PAPE ***** South Delhi : 8-A/, Ji Sri, Ner-IIT Huz Khs, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll od, G.T.B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

11 Spce for rough work South Delhi : 8-A/, Ji Sri, Ner-IIT Huz Khs, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll od, G.T.B. Ngr (Opp. Metro Gte No. ), Delhi-9, Ph: ,

12 IIT-JAM PHYSICA-PH TEST SEIES - 6 Dte : 8--8 FULL LENGTH TEST- ANSWE KEY Section-A : Multiple Choice Questions (MCQ)... () () () ().. 4. () () Section-B : Multiple Select Questions (MSQ).,. (),,,. (),,, 4. (),,, 5. (),, 6. () 7.,, 8. (),, 9. (), 4.,, Section-C : Numericl Answer Type (NAT) 4. () 4. (5 to 5) 4. (. to.5) 44. (. to.7) 45. (. to.6) 46. (.4 to.7) 47. (.8 to.8) 48. (6 to 6) 49. () 5. ( 6.5 to 6.9) 5. (.5 to.9) 5. (45 to 47) 5. () 54. ( to ) 55. (. to.8) 56. (.85 to.9) 57. (5 to 5) 58. (.5) 59. ( to ) 6. (.6 to.66) South Delhi : 8-A/, Ji Sri, Ner-IIT Huz Khs, New Delhi-6, Ph : -6858, 6869 North Delhi : -5, Mll od, G.T.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