Tiêu đề Physical Scieces II.pdf ✅

l PAPER- II SignattEe of tlle Invigilalor PHYSICAL SCIENCES 050866 Question l. OMR Subject Code 05 ROLL No. fime Allowed : 75 Minutes Max. Marks : 100 No. ofpages in this Booklet : 12 No. ofQuestions : 50 L 2. 3. 4. sET 2016 INSTRUCTIONS FOR CANDIDATES Write your Roll No. and the OMR Sh€et No. in the spaces provided on top ofthis page. Fill in the necessary information itt lhe spaces povided on the OMR response sheet. This booklet consists offifty (50) compulsofy qu€stions each carrying 2 marks. printed abova, Do not accept r dim, within the filst 5 minutes. Afterwards, ged oi open booklet. Damaged or faulty booklel may be got replaced neither the Qwsion Book let will be replaced nor any extra time given ll. 12. ::1:: 0$16 PeprII 5. Each Question has four altemative responses marked (A), (B), (C) and (D) in the OMR sheet. You have to compldtely darken the cicle indicating-the most appropriate rcsponse against each item as in lhe illustration. 6, All entries in the @@o@ common OMR response sheet for Papcrs I and I[ are to be recorded in the original copy ory 7. Use only Bluotslack Ball point pen. 8, Rough Work is to be done on the blank pages provided at the end ofthis booklet. 9. Ifyou lvdte your Name, Roll Number, Phone Number or put any mark on any pan ofthe OlvlR Sheet, except in'ttrc spacei allotted for the relevant entries, wh ich may disc lose your identity. or use abusive language or ernploy any other unfair means. you will rcnder yourself liable to disqualificadon I 0. You have to tetun the Original ONR Sheet to the invigilato$ at tlle end ofthe examination compulrcrily and must not carry it with yo-u outside the Eiamination Hall. You are, however' dlowed to c.rry th€ tcst booklet and ahe dupliartc copy of OMR Sheet on conclusion ofexamination. Use ofany calculatot mobile phone or log table etc. is stricdy prohibited. There is oo neg.tivc Earking. cMB-33129 J UJ o

7. The eigen values of the antislmmetric mat x . fo -ur uzl e = | u, 0 -u, l. where u,, q and u, are L-u, u, o.l comPonents ofa unit vector, are : 8. (A) 0, + i and-i (B) 0,+2iand-2i (C) 0, + 2i and- i (D) O,+ i ad-2i Poisson Doibrtion is giv€n bY & ofthe following is conect ? rD -' &-, =aP. m frr P..,=;t& (trD'P;,' =P. (A) (t) and (III) only' (B) (I), (fl)atd(Itr) (C) (tr) olly @) @ and(m)only x! . Which Li 9. The solution ofthe differential equation fl.,(ff)=or,rfl ", (A) y = Q(x) +1 + ce{') @) y = O(x) _ce i(') (C) y=O(x)-1+ce{') (D) y=O(x)+ce{') cMB-33129 10. For the function V"(x) defined by thc v"(*) = " %"H" (") *here H"(x) i s Hermite polynomial ofdegree 'n' , which ofthe following relations is true ? q; 2ny" , =xy" (lD 2x V, = 2n V", r + t1.,,* r (u) fu"/ax=xv,-v"-, (A) (t) and Gr) (B) (ID and(Itr) (c) (ID and (I) (D) (I), (II) and (Itr) 11. Rutherford's scattering cross-section : (A) has the dimensions ofarea (B) has th€ dimensions ofsolid angle (C) is proportional to lhe square ofdre kinaic orctgr of dre incident particle @) is inversely proportional to the squar€ of the charge on the particle (ze) 12. Hamilton's principle is an exarnple ofa: (A) Force (B) llamiltonian (C) tagrangemultiplier @) Vadational pdnciple Paportr tu" a- ox
13. Th€ Irgrangian for a charyed particte moving with a velocity v in an electromagnetic field is : (A) L- T+q$iq(vA) (B) L:T-qO-q(v.A) (c) r,=r-q$+q(vA) @) L:T+qQ-q(v.A) where, T is the kinetic energy and 0 and A are magnetic scalar and vector potentials' 14. The ofa system particles moves as if it were a particle ofmass equal to the total mass ofthe system subjected to the extemal forces applied on the system. (A) Cenhe ofgavity (B) Cenhe ofmass (C) Both the c€ntre of mass and centre of gravity (D) Neither centre ofmass rlor c€ntre ofgavity 15. The general expression for canonical or.conjugate momenturn is, Pj=;.p. Given the Lagrangian aqj L = 1**' - v(*) , *hut momenfum? (e) |mx'z (D) is x's cdnjugate @) (c) Inx mi /dv) Ia-) cMB-33129 PrpeFlI + m;c 16, tfthe tagrangian is cyclic in q, then I (A) pj is not conserved. (B) p, is conserved. (C) q appears in the Lagrangian' I @) I 4, (i.e., de,/dg does not appear in the lagrangian' (A) (B) (c) (D) q & l, are generatized coordinates and momentum respectively. The work done is zero in the case ofarbirary vitual displac€ment ofa srsem tom aposition ofequilibrium iscalledthe: (A) I{amilton's fEinciPle @) D'Alernbert'sprinciPte (C) Principle ofleast action @) Principle ofvirtual wotk An exFession for the canonical angular momentum in a central force problen is : (a) rn/<.'el (q;#o @) mr'o Errr (D) ^,-& If a particle of rest mass mo moves with a velocity v, its energ/ is : .-:-------:--- !p'c' - mfc' p2"' + -frco -; c' !