I I T A C A D E M Y CPT XII-NEW (REG) Batches (Date: ) ANSWERS PHYSICS CHEMISTRY MATHEMATICS 1. (A) 31. (A) 61. (B) 2. (A) 32.

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1 CPT-/XII-S (NEW)/ NARAYANA I I T A C A D E M Y CPT - XII-NEW (REG) Baches (Dae: ) ANSWERS PHYSICS CHEMISTRY MATHEMATICS. (A). (A) 6. (B). (A). (C) 6. (A). (D). (B) 6. (A). (C). (B) 6. (B) 5. (B) 5. (B) 65. (B) 6. (C) 6. (A) 66. (A) 7. (C) 7. (D) 67. (C) 8. (A) 8. (D) 68. (A) 9. (C) 9. (B) 69. (A) 0. (C) 0. (B) 70. (A). (A). (A) 7. (C). (B). (B) 7. (D). (B). (B) 7. (A). (C). (C) 7. (A) 5. (C) 5. (C) 75. (B) 6. (B) 6. (C) 76. (A) 7. (C) 7. (C) 77. (B) 8. (B) 8. (A) 78. (C) 9. (C) 9. (B) 79. (B) 0. (B) 50. (A) 80. (B). (D) 5. (A) 8. (D). (D) 5. (B) 8. (D). (A) 5. (D) 8. (B). (A) 5. (B) 8. (A) 5. (C) 55. (B) 85. (D) 6. (B) 56. (D) 86. (D) 7. (A) 57. (B) 87. (A) 8. (A) 58. (A) 88. (A) 9. (B) 59. (A) 89. (A) 0. (C) 60. (A) 90. (A). (A). (A). (D) Hins & Soluion PART A: PHYSICS

2 . (C) 5. (B) 6. (C) 7. (C) 8. (A) 9. (C) de Bvd CPT-/XII-S (NEW)/ de Bω d l 0 d de Bωd Bωl e M 0. (C) ( l) I A. db 6 (A) e A d dφ db. (B) E dl A d d qe a Direcion of induced field and deermined from Lenz s law m. ( φ φ) ( 0 NBA) (B) e 0.s NBA s e 0.. dφ (C) q id ed d R R d R dφ (aking only magniude of e) Hence, oal charge induced in he conducing loop depends upon he oal change in magneic flu. 5. (C) dφ da d dr e B Bπ R π BR d d d d π B R ( 0 ) ( 0 ) π B R As magneic flu increases in he inward direcion, herefore induced curren will flow in he aniclockwise direcion so as o oppose his increase. 6. (B) 7. (C) 8. (B) 9. (C) L L πr; R ; T sin dθ dθ π 0. (C)

3 . (D). (D). (A). (A) 5. (C) 6. (B) For small angles, sin( d ) θ dθ T( dθ ) I( dl) Bsin 90º; I( Rdθ ) B ILB T IRB ; correc opion is (C) π 7. (A) i ( / 0 / i0 e τ ) CPT-/XII-S (NEW)/ or, e / τ or, ln τ giving τ ln (5 ms) (0.69).5 ms 8. (A) The energy in he magneic field associaed wih he coil is ε / U Li L e....(i) R The ime consan of he circui is τ L.0H 0ms R 00ω Puing he numerical values in (i), he energy a 0 ms is (.0H ) 0.A ( / e ).8 mj 9. (B) Suppose a curren i is esablished in he ouer loop. The magneic field a he cenre will be τ µ 0i B R As he radius R of he inner coil is small compared o R, he flu of magneic field hrough i will be approimaely µ 0i φ π R R So ha he muual inducance is φ µ 0πR M i R 0. (C) The emf induced in he loop is ε vbl v T 0cm. 0

4 The curren in he loop will be i or, v0 T 0.m ε R 0 A Ω ( Ω )( 0 A) giving v0 cms 0.Tm PART B: CHEMISTRY CPT-/XII-S (NEW)/ (A) CF is elecron wihdrawing. So, inermediaes CF C CH will be unsable. H H. (C) Dehydrohalogenaion occurs by E mechanism sayzeff rule is followed and more sable rans--buene is he major produc.. (B) CCl Br CH CH CH HBr CH CH CH Elecrophilic addiion by mark rule CH CH CH Br CH CHBrCH HBr (F. R. subsiuional) hν Alhough propane has si o and only wo o hydrogens ye heir raes of absracion by Br are widely differen, i..e, : 8. Therefore, he major produc is -bromopropane.. (B) In presence of peroides, only he addiion of HBr o unsymmerical alkenes does no occur according o Markovnikov s rule. Since alkene (B) is unsymmerical while alkene (D) is symmerical, herefore, he correc answer is alkene (B). 5. (B) 6. (A) 7. (D)

5 CPT-/XII-S (NEW)/ (D) Ozonolysis sicne all he hree alkenes will give differen producs as shown below: 9. (B) CH CH CH OO CH CH CH CH CH CH CH 0. (B). (A). (B). (B). (C) 5. (C) 6. (C) 7. (C) 8. (A) 9. (B) 50. (A) 5. (A) 5. (B) 5. (D) 5. (B) 55. (B) 56. (D) 57. (B) 58. (A) 59. (A) 60. (A) 6. (B) ( sec an ) I d 6. (A) Pu and use by pars PART C: MATHEMATICS 5

6 6. (A) Pu 6. (B) GI d d d 65. (B) 66. (A) Pu We have, ( ) ( loge ) ( loge ) d c c 6 5 z d 6zdz d 6 z z z z z dz z log C (C) Pu z d dz z n n ( z z ) dz z n n z z c z 68. (A) sec CPT-/XII-S (NEW)/ sine We have, d cos sec e d( sec ) sec e c 69. (A) Pu sin θ sinθ I d cos θ θ cosθdθ ( cosθ sinθ ) ( cosθ sinθ) 70. (A) Pu asinθ dθ sinθ cosθ sinθ cosθ U log sec an, V cos hen use inegraion by pars 7. (C) 6

7 7. (D) ( e sin sin sin 8cos ) d e ( sin sin ) e ( sin cos ) e ( sin sin ) c 7. (A) ( ) I e d ( ) and using he formula e f f d 7. (A) ( ) and ( ) e e c 75. (B) Pu log e ( ) d sin cos 76. (A) I d sin sin α e d e sec an d e an c ( α α) sin sin cos cos sin ( α α ) sin cos sin co cosec ( cosα sinα co) Pu cosα sinα co, d 0 sinα cosec d d c sinα sinα ( cosα sinα co) c sinα 77. (B) Pu anθ 78. (C) Pu d d d CPT-/XII-S (NEW)/

8 6 d (B) Le d (B) e ( ) d d u d du du an u c u an e e c d ( )( ) ( ) ( ) ( )( ) d d d an an c 6 8. (D) ( ) ( ) ( )( ) 8. (D) Pu y 8. (B) I d d d I d CPT-/XII-S (NEW)/

9 8. (A) Pu CPT-/XII-S (NEW)/ (D) ( 5) ( )( ) (D) I ln ( ) c c 87. (A) d cos sin d π cos π loge an c sec π d 88. (A) Pu a cos b sin 89. (A) Pu U, V a sec 90. (A) e d / ( ) ******************************************************************************** NEXT CPT(XII-NEW): TEST DATE & SYLLABUS CPT JEE ADVANCED MODEL Syllabus for all Advance Model CPTs: Syllabus covering from Previous Advance model CPT o previous week. PHY Elecric dipole, Capacior, Curren Elecriciy, Magneic field & Magneism Complee, Elecromagneic Inducion, Alernaing Curren (.05.6 o -07-6) CHEM- Elecrochemisry, Chemical Kineics, Surface Chemisry, Chemisry in EveryDay life, GOC, Aromaiciy, EAS, Alkane, Alkene, Alkyne (.05.6 o ) MATH Coninuiy & differeniabiliy, Applicaion of Derivaive, Indefinie inegraion. (.05.6 o ) 9