Tiêu đề set 2016 paper-iii physical sciences.pdf ✅

PAPER _ III Signature of tlrc Invigilator PHYSICAL SCIENCES Question Booklet No. 050443 1. OMR Sheet No.. Subject Code 05 ROLL No. Time Allowed : 150 Minutes Max. Marks : 150 No. ofpages in this Booklet : 12 No. ofQuestions : 75 l. 2. 3. 4. SET 2016 INSTRUCTION-S FOR CANDIDATDS Write your Roll No. and the OMR SheetNo. in the spaces provided on top oflhis page. Fill in the necessary information in the spaccs provided on the OMR response sheet. This booklet consists ofseventy five (75) compulsory questions each carrying 2 marks. bookl€t with the information printed above. Do not accept a damaged oi open booklet. within the first 5 minutes. Afterwards, neither the Question E damaged or oper booktet. Damaged or faulty book let may be got replaced vards, neither the Question Booklet will be replaced nor any extra time given. All entries in the OMR response sheet arc to be recorded in the original copy only. Use only Blue/Black Ball point p€n. Rough Work is to be done on Lhe blank pages provided at the end ofthis booklet. Ifyou wfite your Name, Roll Number, Phone Number or put any mark on any part ofthe OMR Sheet, except in the spacea allotted for the relevant entries. q, h ich m ay d isc lose your idenr ity, or use abusive language or will render 10. You have io retum the Original OMR Sheet to the invigilators at the end ofthe examination compulsorily and must not carry it with you outside the Examination Hall. You are, however, allowed to carry the test booklet rndtheduplicate copy of OMR Sheet on conclusiofl ofexarnination. Ix 05-16 Paper-III 5. Each Question has four altemative responses marked (A). (B), (C) and @) in the OMR sheet. You have to completely darken the circle indicating the most appropriate iesponse against each item as in the illustration. 6. @@o@ 7. 8. 9. I 1 . Use ofany calculator, mobile phone or log table etc. is strictly prohibited. 12. There is no tregative Earking. cMB-33130 J UJ a

I Canonical tansformatioru can often be convenierdv found or verified by using a : (A) Curraing flmction @) Degenerating furction (C) Separation tensor @) Separation matrix Ifthe gvremting firnction has lhe fonn F= F(q. Pk t), lhen: AF AF {A) P*=-^ ,Q!=* og r. oYr AF^ AF (B) Pr=*'Qr=* rcr pk =+,Qr = ' o\l ,, o.=-#,O- 9. 10. I l dPu AF a& , 11. For a second order systerq the natue offixed points for tmstable mode is : (A) tr, ,,, < 0 (B) ).,,1", > 0 (c) ),, > 0, tr,< 0 (D) l.r< 0, i",> 0 \i4H€ l,r, & ),7 are eigen values oflhe stability matix, (A) F:rqQr (B) F = -rq, Q, (C) F=xq P (D) F: Ep,{(q, t) cMB-33130 Papcr-III 14. 15. 13. Choose the wrong statement related to Noether's Theorem: (A) Ifthe Lagrangian is independent ofthe location ofthe origin then the system will conserve linear morErfiIln @) Ifthe Lagrangian is independent ofthe base time then energy is not conserved (C) Ifthe Lagargian is independent ofthe ang.le of measurement then angular momentum is conserved (D) If a fansfomation of the co-ordinate system satisfies certain condition, namely being continuous, then necessarily there exist a quantity that is conserved The action and angle vadables have the dimensions of: (A) Energyandangle (B) Force and angle (C) Pressule ard angle @) Angular momenhun and angle Ifthe genemting fi:nction has the form F = F (q, Qu, t) then: (A) q* __ aF 0Q, __ aF De* rB) qr = jl. Pk oP'. {c) q. = +, P. ' oPy AF aa. AF aa" (D) qu =- dF.p, ap'- ' -- ff o oP* E 12. The generaling fimction forpointtmnsformation is :