This document contains instructions for a test booklet and answer sheet. It states that the test booklet has 40 printed pages and 90 questions worth a maximum of 360 marks. The questions are divided into three parts (Chemistry, Mathematics, and Physics) with 30 questions of equal weightage in each part. Candidates will be awarded 4 marks for each correct response and will lose 1/4 marks for each incorrect response. Only one response per question is allowed, and rough work should be done in the designated spaces provided.

1. This booklet contains 40 printed pages.
§â ÂéçSÌ·¤æ ×ð´ ×éçÎýÌ ÂëcÆ 40 ãñ´Ð
Do not open this Test Booklet until you are asked to do so.
§â ÂÚèÿææ ÂéçSÌ·¤æ ·¤æð ÌÕ Ì·¤ Ù ¹æðÜð´ ÁÕ Ì·¤ ·¤ãæ Ù Áæ°Ð
Read carefully the Instructions on the Back Cover of this Test Booklet.
§â ÂÚèÿææ ÂéçSÌ·¤æ ·ð¤ çÂÀÜð ¥æßÚ‡æ ÂÚ çΰ »° çÙÎðüàææð´ ·¤æð ŠØæÙ âð Âɸð´Ð
Name of the Candidate (in Capital letters ) :
ÂÚèÿææÍèü ·¤æ Ùæ× (ÕǸð ¥ÿæÚæð´ ×ð´) Ñ
Roll Number : in figures
¥Ùé·ý¤×æ´·¤ Ñ ¥´·¤æð´ ×ð´
: in words
Ñ àæŽÎæð´ ×ð´
Examination Centre Number :
ÂÚèÿææ ·ð¤‹Îý ِÕÚU Ñ
Name of Examination Centre (in Capital letters) :
ÂÚUèÿææ ·ð¤‹Îý ·¤æ Ùæ× (ÕǸð ¥ÿæÚUæð´ ×ð´ ) Ñ
Candidate’s Signature : 1. Invigilator’s Signature :
ÂÚèÿææÍèü ·ð¤ ãSÌæÿæÚ Ñ çÙÚèÿæ·¤ ·ð¤ ãSÌæÿæÚ Ñ
2. Invigilator’s Signature :
çÙÚèÿæ·¤ ·ð¤ ãSÌæÿæÚ Ñ
No. :
Important Instructions :
1. Immediately fill in the particulars on this page of the Test
Booklet with Blue/Black Ball Point Pen. Use of pencil is strictly
prohibited.
2. The Answer Sheet is kept inside this Test Booklet. When you
are directed to open the Test Booklet, take out the Answer
Sheet and fill in the particulars carefully.
3. The test is of 3 hours duration.
4. The Test Booklet consists of 90 questions. The maximum
marks are 360.
5. There are three parts in the question paper A, B, C
consisting of Chemistry, Mathematics and Physics having
30 questions in each part of equal weightage. Each question
is allotted 4 (four) marks for correct response.
6. Candidates will be awarded marks as stated above in instruction
No. 5 for correct response of each question. ¼ (one fourth) marks
will be deducted for indicating incorrect response of each question.
No deduction from the total score will be made if no response is
indicated for an item in the answer sheet.
7. There is only one correct response for each question. Filling
up more than one response in any question will be treated as
wrong response and marks for wrong response will be
deducted accordingly as per instruction 6 above.
8. Use Blue/Black Ball Point Pen only for writing particulars/
marking responses on Side-1 and Side–2 of the Answer Sheet.
Use of pencil is strictly prohibited.
9. No candidate is allowed to carry any textual material, printed
or written, bits of papers, pager, mobile phone, any electronic
device, etc. except the Admit Card inside the examination
room/hall.
10. Rough work is to be done on the space provided for this
purpose in the Test Booklet only. This space is given at the
bottom of each page and in one page (i.e. Page 39) at the end
of the booklet.
11. On completion of the test, the candidate must hand over the
Answer Sheet to the Invigilator on duty in the Room/Hall.
However, the candidates are allowed to take away this Test
Booklet with them.
12. The CODE for this Booklet is B. Make sure that the CODE
printed on Side–2 of the Answer Sheet and also tally the
serial number of the Test Booklet and Answer Sheet are the
same as that on this booklet. In case of discrepancy, the
candidate should immediately report the matter to the
Invigilator for replacement of both the Test Booklet and the
Answer Sheet.
13. Do not fold or make any stray mark on the Answer Sheet.
×ãžßÂê‡æü çÙÎðüàæ Ñ
1. ÂÚUèÿææ ÂéçSÌ·¤æ ·ð¤ §â ÂëcÆU ÂÚU ¥æßàØ·¤ çßßÚU‡æ ÙèÜð / ·¤æÜð ÕæòÜ
Œß槴ÅU ÂðÙ âð ̈·¤æÜ ÖÚð´Ð Âðç‹âÜ ·¤æ ÂýØæð» çÕË·é¤Ü ßçÁüÌ ãñÐ
2. ©žæÚU Â˜æ §â ÂÚUèÿææ ÂéçSÌ·¤æ ·ð¤ ¥‹ÎÚU ÚU¹æ ãñÐ ÁÕ ¥æ·¤æð ÂÚUèÿææ ÂéçSÌ·¤æ
¹æðÜÙð ·¤æð ·¤ãæ Áæ°, Ìæð ©žæÚU ˜æ çÙ·¤æÜ ·¤ÚU âæßÏæÙèÂêßü·¤ çßßÚU‡æ ÖÚð´UÐ
3. ÂÚUèÿææ ·¤è ¥ßçÏ 3 ƒæ´ÅðU ãñÐ
4. §â ÂÚUèÿææ ÂéçSÌ·¤æ ×ð´ 90 ÂýàÙ ãñ´Ð ¥çÏ·¤Ì× ¥´·¤ 360 ãñ´Ð
5. §â ÂÚUèÿææ ÂéçSÌ·¤æ ×ð´ ÌèÙ Öæ» A, B, C ãñ´, çÁâ·ð¤ ÂýˆØð·¤ Öæ» ×ð´
ÚUâæØÙ çß™ææÙ, »ç‡æÌ °ß´ ÖæñçÌ·¤ çß™ææÙ ·ð¤ 30 ÂýàÙ ãñ´ ¥æñÚU âÖè
ÂýàÙæ𴠷𤠥´·¤ â×æÙ ãñ´Ð ÂýˆØð·¤ ÂýàÙ ·ð¤ âãè ©žæÚU ·ð¤ çÜ° 4 (¿æÚU)
¥´·¤ çÙÏæüçÚUÌ ç·¤Øð »Øð ãñ´Ð
6. ¥ØçÍüØæð´ ·¤æð ÂýˆØð·¤ âãè ©žæÚU ·ð¤ çÜ° ©ÂÚUæð€Ì çÙÎðüàæ٠ⴁØæ 5 ·ð¤
çÙÎðüàææÙéâæÚU ¥´·¤ çÎØð ÁæØð´»ðÐ ÂýˆØð·¤ ÂýàÙ ·ð¤ »ÜÌ ©žæÚU ·ð¤ çÜØð
¼ ßæ´ Öæ» ·¤æÅU çÜØæ ÁæØð»æÐ ØçÎ ©žæÚU ˜æ ×ð´ ç·¤âè ÂýàÙ ·¤æ ©žæÚU
Ùãè´ çÎØæ »Øæ ãæð Ìæð ·é¤Ü Âýæ#æ´·¤ âð ·¤æð§ü ·¤ÅUæñÌè Ùãè´ ·¤è ÁæØð»èÐ
7. ÂýˆØð·¤ ÂýàÙ ·¤æ ·ð¤ßÜ °·¤ ãè âãè ©žæÚU ãñÐ °·¤ âð ¥çÏ·¤ ©žæÚU ÎðÙð ÂÚU
©âð »ÜÌ ©žæÚU ×æÙæ ÁæØð»æ ¥æñÚU ©ÂÚUæð€Ì çÙÎðüàæ 6 ·ð¤ ¥ÙéâæÚU ¥´·¤ ·¤æÅU
çÜØð ÁæØð´»ðÐ
8. ©žæÚU Â˜æ ·ð¤ ÂëcÆU-1 °ß´ ÂëcÆU-2 ÂÚU ßæ´çÀUÌ çßßÚU‡æ °ß´ ©žæÚU ¥´ç·¤Ì
·¤ÚUÙð ãðÌé ·ð¤ßÜ ÙèÜð/·¤æÜð ÕæòÜ Œß槴ÅUU ÂðÙ ·¤æ ãè ÂýØæð» ·¤Úð´UÐ
Âðç‹âÜ ·¤æ ÂýØæð» çÕË·é¤Ü ßçÁüÌ ãñÐ
9. ÂÚUèÿææÍèü mæÚUæ ÂÚUèÿææ ·¤ÿæ/ãæòÜ ×ð´ Âýßðàæ ·¤æÇüU ·ð¤ ¥Üæßæ ç·¤âè Öè Âý·¤æÚU
·¤è ÂæÆ÷UØ âæ×»ýè, ×éçÎýÌ Øæ ãSÌçÜç¹Ì, ·¤æ»Á ·¤è Âç¿üØæ¡, ÂðÁÚU, ×æðÕæ§Ü
ȤæðÙ Øæ ç·¤âè Öè Âý·¤æÚU ·ð¤ §Üð€ÅþUæòçÙ·¤ ©Â·¤ÚU‡ææð´ Øæ ç·¤âè ¥‹Ø Âý·¤æÚU ·¤è
âæ×»ýè ·¤æð Üð ÁæÙð Øæ ©ÂØæð» ·¤ÚUÙð ·¤è ¥Ùé×çÌ Ùãè´ ãñÐ
10. ÚUȤ ·¤æØü ÂÚUèÿææ ÂéçSÌ·¤æ ×ð´ ·ð¤ßÜ çÙÏæüçÚUÌ Á»ã ÂÚU ãè ·¤èçÁ°Ð Øã
Á»ã ÂýˆØð·¤ ÂëcÆU ÂÚU Ùè¿ð ·¤è ¥æðÚU ¥æñÚU ÂéçSÌ·¤æ ·ð¤ ¥´Ì ×ð´ °·¤ ÂëcÆU ÂÚU
(ÂëcÆU 39) Îè »§ü ãñÐ
11. ÂÚUèÿææ â×æŒÌ ãæðÙð ÂÚU, ÂÚUèÿææÍèü ·¤ÿæ/ãæòÜ ÀUæðǸÙð âð Âêßü ©žæÚU Â˜æ ·¤ÿæ
çÙÚUèÿæ·¤ ·¤æð ¥ßàØ âæñ´Â Îð´Ð ÂÚUèÿææÍèü ¥ÂÙð âæÍ §â ÂÚUèÿææ ÂéçSÌ·¤æ
·¤æð Üð Áæ â·¤Ìð ãñ´Ð
12. §â ÂéçSÌ·¤æ ·¤æ â´·ð¤Ì B ãñÐ Øã âéçÙçà¿Ì ·¤ÚU Üð´ ç·¤ §â ÂéçSÌ·¤æ ·¤æ
â´·ð¤Ì, ©žæÚU Â˜æ ·ð¤ ÂëcÆU-2 ÂÚU ÀUÂð â´·ð¤Ì âð ç×ÜÌæ ãñ ¥æñÚU Øã Öè
âéçÙçà¿Ì ·¤ÚU Üð´ ç·¤ ÂÚUèÿææ ÂéçSÌ·¤æ, ©žæÚU ˜æ ÂÚU ·ý¤× ⴁØæ ç×ÜÌè ãñÐ
¥»ÚU Øã çÖóæ ãæð Ìæð ÂÚUèÿææÍèü ÎêâÚUè ÂÚUèÿææ ÂéçSÌ·¤æ ¥æñÚU ©žæÚU ˜æ ÜðÙð
·ð¤ çÜ° çÙÚUèÿæ·¤ ·¤æð ÌéÚU‹Ì ¥ß»Ì ·¤ÚUæ°¡Ð
13. ©žæÚU Â˜æ ·¤æð Ù ×æðǸ𴠰ߴ Ù ãè ©â ÂÚU ¥‹Ø çÙàææ٠ܻ氡Ð
Test Booklet Code
ÂÚèÿææ ÂéçSÌ·¤æ â´·ð¤Ì
B
PAPER - 1 : CHEMISTRY, MATHEMATICS & PHYSICS
ÂýàÙÂéçSÌ·¤æ - 1 : ÚUâæØÙ çß™ææÙ, »ç‡æÌ ÌÍæ ÖæñçÌ·¤ çß™ææÙ
LMN

2. B/Page 2 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
1. Which of the following is the energy of a
possible excited state of hydrogen ?
(1) 26.8 eV
(2) 23.4 eV
(3) 16.8 eV
(4) 113.6 eV
2. In the following sequence of reactions :
4 2 2
4
KMnO SOCl H /Pd
BaSO
Toluene A B C,→ → →
the product C is :
(1) C6H5CH3
(2) C6H5CH2OH
(3) C6H5CHO
(4) C6H5COOH
3. Which compound would give
5 - keto - 2 - methyl hexanal upon
ozonolysis ?
(1)
(2)
(3)
(4)
1. çِÙçÜç¹Ì ×ð´ âð ãæ§üÇþUæðÁÙ ·¤è â´Öß ©žæðçÁÌ ¥ßSÍæ
·¤è ª¤Áæü ·¤æñÙ âè ãñ?
(1) 26.8 eV
(2) 23.4 eV
(3) 16.8 eV
(4) 113.6 eV
2. çΰ »° ¥çÖç·ý¤Øæ ¥Ùé·ý¤× ×ð´ ©ˆÂæÎ C ãñ Ñ
4 2 2
4
KMnO SOCl H /Pd
BaSO
Toluene A B C→ → →
(1) C6H5CH3
(2) C6H5CH2OH
(3) C6H5CHO
(4) C6H5COOH
3. ¥æð$ÁæðÙæðçÜçââ ·¤ÚUÙð ÂÚU ·¤æñÙ âæ Øæñç»·¤
5 - ·¤èÅUæð - 2 - ×ðçÍÜ ãð€âæÙñÜ ÎðÌæ ãñ?
(1)
(2)
(3)
(4)
PART A — CHEMISTRY Öæ» A — ÚUâæØÙ çß™ææÙ

3. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 3
4. The ionic radii (in Å) of N32, O22 and F2
are respectively :
(1) 1.36, 1.71 and 1.40
(2) 1.71, 1.40 and 1.36
(3) 1.71, 1.36 and 1.40
(4) 1.36, 1.40 and 1.71
5. The color of KMnO4 is due to :
(1) d 2 d transition
(2) L ® M charge transfer transition
(3) s 2 s* transition
(4) M ® L charge transfer transition
6. Assertion : Nitrogen and Oxygen are the
main components in the
atmosphere but these do not
react to form oxides of nitrogen.
Reason : The reaction between nitrogen
and oxygen requires high
temperature.
(1) Both assertion and reason are
correct, but the reason is not the
correct explanation for the assertion
(2) The assertion is incorrect, but the
reason is correct
(3) Both the assertion and reason are
incorrect
(4) Both assertion and reason are
correct, and the reason is the correct
explanation for the assertion
4. N32, O22 ÌÍæ F2 ·¤è ¥æØçÙ·¤ ç˜æ’ØæØð´ (Å ×ð´)
·ý¤×àæÑ ãñ´ Ñ
(1) 1.36, 1.71 ÌÍæ 1.40
(2) 1.71, 1.40 ÌÍæ 1.36
(3) 1.71, 1.36 ÌÍæ 1.40
(4) 1.36, 1.40 ÌÍæ 1.71
5. KMnO4 ·ð¤ Ú´U» ·¤æ ·¤æÚU‡æ ãñ Ñ
(1) d 2 d â´·ý¤×‡æ
(2) L ® M ¥æßðàæ SÍæÙæ´ÌÚU‡æ â´·ý¤×‡æ
(3) s 2 s* â´·ý¤×‡æ
(4) M ® L ¥æßðàæ SÍæÙæ´ÌÚU‡æ â´·ý¤×‡æ
6. ¥çÖ·¤ÍÙ Ñ Ùæ§ÅþUæðÁÙ ¥æñÚU ¥æò€âèÁÙ ßæÌæßÚU‡æ ·ð¤
×éØ ƒæÅU·¤ ãñ´ ÂÚU‹Ìé Øã ç·ý¤Øæ ·¤ÚU·ð¤
Ùæ§ÅþUæðÁÙ ·ð¤ ¥æò€âæ§ÇU Ùãè´ ÕÙæÌðÐ
Ì·ü¤ Ñ Ùæ§ÅþUæðÁÙ ¥æñÚU ¥æò€âèÁÙ ·ð¤ Õè¿
¥çÖç·ý¤Øæ ·ð¤ çÜ° ©“æ Ìæ ·¤è
¥æßàØ·¤Ìæ ãñÐ
(1) ¥çÖ·¤ÍÙ ¥æñÚU Ì·ü¤ ÎæðÙæð´ âãè ãñ´ ÂÚU‹Ìé Ì·ü¤
¥çÖ·¤ÍÙ ·¤æ âãè SÂcÅUè·¤ÚU‡æ Ùãè´ ãñÐ
(2) ¥çÖ·¤ÍÙ »ÜÌ ãñ ÂÚU‹Ìé Ì·ü¤ âãè ãñÐ
(3) ¥çÖ·¤ÍÙ ß Ì·ü¤ ÎæðÙæð´ »ÜÌ ãñ´Ð
(4) ¥çÖ·¤ÍÙ ¥æñÚU Ì·ü¤ ÎæðÙæð´ âãè ãñ´ ¥æñÚU Ì·ü¤
¥çÖ·¤ÍÙ ·¤æ âãè SÂcÅUè·¤ÚU‡æ ãñÐ

4. B/Page 4 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
7. Which of the following compounds is not
an antacid ?
(1) Cimetidine
(2) Phenelzine
(3) Ranitidine
(4) Aluminium hydroxide
8. In the context of the Hall - Heroult process
for the extraction of Al, which of the
following statements is false ?
(1) Al2O3 is mixed with CaF2 which
lowers the melting point of the
mixture and brings conductivity
(2) Al31 is reduced at the cathode to
form Al
(3) Na3AlF6 serves as the electrolyte
(4) CO and CO2 are produced in this
process
9. Match the catalysts to the correct
processes :
Catalyst Process
(A) TiCl3 (i) Wacker process
(B) PdCl2 (ii) Ziegler - Natta
polymerization
(C) CuCl2 (iii) Contact process
(D) V2O5 (iv) Deacon’s process
(1) (A) - (ii), (B) - (i), (C) - (iv), (D) - (iii)
(2) (A) - (ii), (B) - (iii), (C) - (iv), (D) - (i)
(3) (A) - (iii), (B) - (i), (C) - (ii), (D) - (iv)
(4) (A) - (iii), (B) - (ii), (C) - (iv), (D) - (i)
7. çِÙçÜç¹Ì ×ð´ âð ·¤æñÙ âæ Øæñç»·¤ ÂýçÌ¥Ü Ùãè´ ãñ?
(1) çâ×ðçÅUÇUèÙ
(2) çȤÙçËÁÙ
(3) ÚñUçÙçÅUÇUèÙ
(4) °ðÜéç×çÙØ× ãæ§ÇþUæ€âæ§ÇU
8. ãæòÜ-ãðÚUæòËÅU Âý·ý¤× âð °ðÜéç×çÙØ× ·ð¤ çÙc·¤áü‡æ ·ð¤
â´ÎÖü ×ð´ ·¤æñÙ âæ ·¤ÍÙ »ÜÌ ãñ?
(1) CaF2 ·¤æð Al2O3 ×ð´ ç×ÜæÙð ÂÚU çןæ‡æ ·¤æ
»ÜÙæ´·¤ ·¤× ãæðÌæ ãñ ¥æñÚU ©â×ð´ ¿æÜ·¤Ìæ ¥æÌè
ãñÐ
(2) ·ñ¤ÍæðÇU ÂÚU Al31 ¥Â¿çØÌ ãæð ·¤ÚU Al ÕÙæÌæ
ãñÐ
(3) Na3AlF6 çßléÌ ¥ÂƒæÅ÷UØ ·¤æ ·¤æ× ·¤ÚUÌæ
ãñÐ
(4) §â Âý·ý¤× ×ð´ CO ÌÍæ CO2 ·¤æ ©ˆÂæÎÙ ãæðÌæ
ãñÐ
9. çΰ »° ©ˆÂýðÚU·¤æð´ ·¤æð âãè Âý·ý¤× ·ð¤ âæÍ âé×ðçÜÌ
·¤Úð´U Ñ
©ˆÂýðÚU·¤ Âý·ý¤×
(A) TiCl3 (i) ßæò·¤ÚU Âý·ý¤×
(B) PdCl2 (ii) ˆâè‚ÜÚ-Ù^æ
ÕãéÜ·¤è·¤ÚU‡æU
(C) CuCl2 (iii) â´SÂàæü Âý·ý¤×
(D) V2O5 (iv) ÇUè·¤Ù Âý·ý¤×
(1) (A) - (ii), (B) - (i), (C) - (iv), (D) - (iii)
(2) (A) - (ii), (B) - (iii), (C) - (iv), (D) - (i)
(3) (A) - (iii), (B) - (i), (C) - (ii), (D) - (iv)
(4) (A) - (iii), (B) - (ii), (C) - (iv), (D) - (i)

5. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 5
10. In the reaction
2NaNO /HCl CuCN/KCN
20 5 C
D E N→ →
2 8 D
1
the product E is :
(1)
(2)
(3)
(4)
11. Which polymer is used in the manufacture
of paints and lacquers ?
(1) Glyptal
(2) Polypropene
(3) Poly vinyl chloride
(4) Bakelite
10. çΰ »° ¥çÖç·ý¤Øæ ×ð´ ©ˆÂæÎ E ãñ Ñ
2NaNO /HCl CuCN/KCN
20 5 C
D E N→ →
2 8 D
1
(1)
(2)
(3)
(4)
11. ç·¤â ÕãéÜ·¤ ·¤æ ©ÂØæð» ÂýÜð ¥æñÚU ÂýÜæÿæ ÕÙæÙð ×ð´
ãæðÌæ ãñ?
(1) ç‚ÜŒÅUæÜ
(2) ÂæòçÜÂýæðÂèÙ
(3) ÂæòçÜ ßæ§çÙÜ €ÜæðÚUæ§ÇU
(4) Õð·ð¤Üæ§ÅU

6. B/Page 6 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
12. The number of geometric isomers that can
exist for square planar [Pt (Cl) (py) (NH3)
(NH2OH)]1 is (py 5 pyridine) :
(1) 3
(2) 4
(3) 6
(4) 2
13. Higher order (>3) reactions are rare due
to :
(1) increase in entropy and activation
energy as more molecules are
involved
(2) shifting of equilibrium towards
reactants due to elastic collisions
(3) loss of active species on collision
(4) low probability of simultaneous
collision of all the reacting species
14. Which among the following is the most
reactive ?
(1) Br2
(2) I2
(3) ICl
(4) Cl2
12. ß»ü â×ÌÜèØ [Pt (Cl) (py) (NH3) (NH2OH)]1
(py 5 pyridine) ·ð¤ ’Øæç×ÌèØ â×æßØçßØæð´ ·¤è
ⴁØæ ãñ Ñ
(1) 3
(2) 4
(3) 6
(4) 2
13. ©‘¿ ·¤æðçÅU ¥çÖç·ý¤Øæ (>3) ÎéÜüÖ ãñ €Øæð´ç·¤ Ñ
(1) ¥çÏ·¤ ¥‡æé¥æð´ ·ð¤ àææç×Ü ãæðÙð âð °´ÅþUæÂè ¥æñÚU
â´ç·ý¤Ø‡æ ª¤Áæü ×ð´ ßëçh ãæðÌè ãñÐ
(2) Üæð¿ÎæÚU ÅU·¤ÚUæß ·ð¤ ·¤æÚU‡æ ¥çÖ·¤æÚU·¤æð´ ·¤è
çÎàææ ×ð´ âæØ ·¤æ SÍæÙæ´ÌÚU‡æ ãæðÌæ ãñÐ
(3) ÅU·¤ÚUæß âð âç·ý¤Ø SÂèàæè$Á ·¤æ ÿæØ ãæðÌæ ãñÐ
(4) ÂýçÌç·ý¤Øæ ×ð´ âÖè ÂýÁæçÌØæ𴠷𤠰·¤ âæÍ ÅU€·¤ÚU
·¤è â´ÖæßÙæ ·¤× ãæðÌè ãñÐ
14. çِÙçÜç¹Ì ×ð´ âð ·¤æñÙ âßæüçÏ·¤ ¥çÖç·ý¤ØæàæèÜ ãñ?
(1) Br2
(2) I2
(3) ICl
(4) Cl2

7. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 7
15. Two Faraday of electricity is passed
through a solution of CuSO4. The mass of
copper deposited at the cathode is :
(at. mass of Cu563.5 amu)
(1) 63.5 g
(2) 2 g
(3) 127 g
(4) 0 g
16. 3 g of activated charcoal was added to
50 mL of acetic acid solution (0.06N) in a
flask. After an hour it was filtered and
the strength of the filtrate was found to be
0.042 N. The amount of acetic acid
adsorbed (per gram of charcoal) is :
(1) 36 mg
(2) 42 mg
(3) 54 mg
(4) 18 mg
17. The synthesis of alkyl fluorides is best
accomplished by :
(1) Sandmeyer’s reaction
(2) Finkelstein reaction
(3) Swarts reaction
(4) Free radical fluorination
15. CuSO4 ·ð¤ °·¤ çßÜØÙ ×ð´, Îæð Èñ¤ÚUæÇðU çßléÌ ÂýßæçãÌ
·¤è »§üÐ ·ñ¤ÍæðÇU ÂÚU çÙÿæðçÂÌ Ìæ´Õð ·¤æ ÎýÃØ×æÙ ãñ :
(Cu ·¤æ ÂÚU×æç‡ß·¤ ÎýÃØ×æÙ 563.5 amu)
(1) 63.5 g
(2) 2 g
(3) 127 g
(4) 0 g
16. °·¤ ÜæS·¤ ×ð´ 0.06N °çâçÅU·¤ ¥Ü ·ð¤ 50 mL
çßÜØÙ ×ð´ 3 g âç·ý¤çØÌ÷ ·¤æcÆU ·¤æðØÜæ ç×ÜæØæ »ØæÐ
°·¤ ƒæ´ÅðU ·ð¤ Âà¿æÌ÷ ©âð ÀUæÙæ »Øæ ¥æñÚU çÙSØ´Î ·¤è
ÂýÕÜÌæ 0.042 N Âæ§ü »§üÐ ¥çÏàææðçáÌ °çâçÅU·¤
¥Ü ·¤è ×æ˜ææ (·¤æcÆU-·¤æðØÜæ ·ð¤ ÂýçÌ »ýæ× ÂÚU)
ãñ Ñ
(1) 36 mg
(2) 42 mg
(3) 54 mg
(4) 18 mg
17. ¥Ë·¤æ§Ü ÜæðÚUæ§ÇU ·ð¤ â´àÜðá‡æ ·ð¤ çÜ° âÕâð
ÕðãÌÚUèÙ çßçÏ ãñ Ñ
(1) âñ‹ÇU×æØÚU ¥çÖç·ý¤Øæ
(2) çÈ´¤·¤ÜSÅUæ§Ù ¥çÖç·ý¤Øæ
(3) SßæÅüUâ ¥çÖç·ý¤Øæ
(4) ×é€Ì ×êÜ·¤ ÜæðçÚUÙðàæÙ

8. B/Page 8 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
18. The molecular formula of a commercial
resin used for exchanging ions in water
softening is C8H7SO3Na (Mol. wt. 206).
What would be the maximum uptake of
Ca21 ions by the resin when expressed in
mole per gram resin ?
(1)
1
206
(2)
2
309
(3)
1
412
(4)
1
103
19. Which of the vitamins given below is water
soluble ?
(1) Vitamin D
(2) Vitamin E
(3) Vitamin K
(4) Vitamin C
20. The intermolecular interaction that is
dependent on the inverse cube of distance
between the molecules is :
(1) ion - dipole interaction
(2) London force
(3) hydrogen bond
(4) ion - ion interaction
18. °·¤ ßæç‡æ’Ø ÚðUç$ÁÙ ·¤æ ¥æç‡ß·¤ âê˜æ C8H7SO3Na
ãñ (¥æç‡ß·¤ ÖæÚU = 206) §â ÚðUç$ÁÙ ·¤è Ca21
¥æØÙ ·¤è ¥çÏ·¤Ì× ¥´Ì»ýüã‡æ ÿæ×Ìæ (×æðÜ ÂýçÌ
»ýæ× ÚðUç$ÁÙ) €Øæ ãñ?
(1)
1
206
(2)
2
309
(3)
1
412
(4)
1
103
19. çِÙçÜç¹Ì çßÅUæç×Ùæð´ ×ð´ ÁÜ ×ð´ çßÜðØ ãæðÙð ßæÜæ
ãñ Ñ
(1) çßÅUæç×Ù D
(2) çßÅUæç×Ù E
(3) çßÅUæç×Ù K
(4) çßÅUæç×Ù C
20. ßã ¥´ÌÚUæ-¥‡æé·¤ ¥‹Øæð‹Ø ç·ý¤Øæ Áæ𠥇æé¥æð´ ·ð¤ Õè¿
·¤è ÎêÚUè ·ð¤ ÂýçÌÜæð× ƒæÙ ÂÚU çÙÖüÚU ãñ, ãñ Ñ
(1) ¥æØÙ - çmÏýéß ¥‹Øæð‹Ø
(2) Ü´ÇUÙ ÕÜ
(3) ãæ§üÇþUæðÁÙ Õ´Ï·¤
(4) ¥æØÙ - ¥æØÙ ¥‹Øæð‹Ø

9. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 9
21. The following reaction is performed at
298 K.
2 22NO(g) O (g) 2NO (g)1 ì
The standard free energy of formation of
NO(g) is 86.6 kJ/mol at 298 K. What is
the standard free energy of formation of
NO2(g) at 298 K? (Kp51.631012)
(1) 866001R(298) ln(1.631012)
(2)
12
n (1.6 10 )
86600
R (298)
l 3
2
(3) 0.5[2386,6002R(298) ln(1.631012)]
(4) R(298) ln(1.631012)286600
22. Which of the following compounds is not
colored yellow ?
(1) K3[Co(NO2)6]
(2) (NH4)3 [As (Mo3 O10)4]
(3) BaCrO4
(4) Zn2[Fe(CN)6]
23. In Carius method of estimation of
halogens, 250 mg of an organic compound
gave 141 mg of AgBr. The percentage of
bromine in the compound is :
(at. mass Ag5108; Br580)
(1) 36
(2) 48
(3) 60
(4) 24
21. çِÙçÜç¹Ì ¥çÖç·ý¤Øæ ·¤æð 298 K ÂÚU ç·¤Øæ »ØæÐ
2 22NO(g) O (g) 2NO (g)1 ì
298 K ÂÚU NO(g) ·ð¤ â´ÖßÙ ·¤è ×æÙ·¤ ×é€Ì ª¤Áæü
86.6 kJ/mol ãñÐ 298 K ÂÚU NO2(g) ·¤è ×æÙ·¤
×é€Ì ª¤Áæü €Øæ ãñ? (Kp51.631012)
(1) 866001R(298) ln(1.631012)
(2)
12
n (1.6 10 )
86600
R (298)
l 3
2
(3) 0.5[2386,6002R(298) ln(1.631012)]
(4) R(298) ln(1.631012)286600
22. çΰ »° Øæñç»·¤æð´ ×ð´ ·¤æñÙ âð Øæñç»·¤ ·¤æ Ú´U» ÂèÜæ Ùãè´
ãñ?
(1) K3[Co(NO2)6]
(2) (NH4)3 [As (Mo3 O10)4]
(3) BaCrO4
(4) Zn2[Fe(CN)6]
23. ãñÜæðÁÙ ·ð¤ ¥æ·¤ÜÙ ·¤è ·ñ¤çÚU¥â çßçÏ ×ð´ 250 mg
·¤æÕüçÙ·¤ Øæñç»·¤ 141 mg AgBr ÎðÌæ ãñÐ Øæñç»·¤
×ð´ Õýæð×èÙ ·¤è ÂýçÌàæÌÌæ ãñ :
(ÂÚU×æç‡ß·¤ ÎýÃØ×æÙ Ag5108; Br580)
(1) 36
(2) 48
(3) 60
(4) 24

10. B/Page 10 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
24. âæðçÇUØ× ÏæÌé °·¤ ¥´ÌÑ·ð¤ç‹ÎýÌ ƒæÙèØ ÁæÜ·¤ ×ð´
ç·ý¤SÅUçÜÌ ãæðÌæ ãñ çÁâ·ð¤ ·¤æðÚU ·¤è Ü´Õæ§ü 4.29Å ãñÐ
âæðçÇUØ× ÂÚU×æ‡æé ·¤è ç˜æ’Øæ ֻܻ ãñ Ñ
(1) 3.22Å
(2) 5.72Å
(3) 0.93Å
(4) 1.86Å
25. çِÙçÜç¹Ì ×ð´ âð ·¤æñÙ âæ Øæñç»·¤ ’Øæç×ÌèØ
â×æßØßÌæ ÎàææüÌæ ãñ?
(1) 3 - Èð¤çÙÜ - 1 - ŽØêÅUèÙ
(2) 2 - Èð¤çÙÜ - 1 - ŽØêÅUèÙ
(3) 1, 1 - ÇUæ§üÈð¤çÙÜ - 1 - ÂýæðÂðÙ
(4) 1 - Èð¤çÙÜ - 2 - ŽØêÅUèÙ
26. 208C ÂÚU °ðçâÅUæðÙ ·¤è ßæc ÎæÕ 185 torr ãñÐ ÁÕ
208C ÂÚU, 1.2 g ¥ßæcÂàæèÜ ÂÎæÍü ·¤æð 100 g
°ðçâÅUæðÙ ×ð´ ƒææðÜæ »Øæ, ÌÕ ßæc ÎæÕ 183 torr ãæð
»ØæÐ §â ÂÎæÍü ·¤æ ×æðÜÚU ÎýÃØ×æÙ (g mol21 ×ð´)
ãñ Ñ
(1) 64
(2) 128
(3) 488
(4) 32
27. H2O2 ·ð¤ â´ÎÖü ×ð´, çِÙçÜç¹Ì ·¤ÍÙæð´ ×ð´ âð »ÜÌ
·¤ÍÙ ¿éçÙ° Ñ
(1) Âý·¤æàæ ×ð´ §â·¤æ ¥ÂƒæÅUÙ ãæðÌæ ãñ
(2) §âð ŒÜæçSÅU·¤ Øæ ×æð×¥ÅðU ·¤æ´¿ ÕæðÌÜæð´ ×ð´ ¥´ÏðÚðU
×ð´ â´»ýçãÌ ç·¤Øæ ÁæÌæ ãñ
(3) §âð ÏêÜ âð ÎêÚU ÚU¹Ùæ ¿æçã°
(4) Øã ·ð¤ßÜ ¥æò€âè·¤æÚU·¤ ãñ
24. Sodium metal crystallizes in a body centred
cubic lattice with a unit cell edge of 4.29Å.
The radius of sodium atom is
approximately :
(1) 3.22Å
(2) 5.72Å
(3) 0.93Å
(4) 1.86Å
25. Which of the following compounds will
exhibit geometrical isomerism ?
(1) 3 - Phenyl - 1 - butene
(2) 2 - Phenyl - 1 - butene
(3) 1, 1 - Diphenyl - 1 - propane
(4) 1 - Phenyl - 2 - butene
26. The vapour pressure of acetone at 208C is
185 torr. When 1.2 g of a non-volatile
substance was dissolved in 100 g of acetone
at 208C, its vapour pressure was 183 torr.
The molar mass (g mol21) of the substance
is :
(1) 64
(2) 128
(3) 488
(4) 32
27. From the following statements regarding
H2O2, choose the incorrect statement :
(1) It decomposes on exposure to light
(2) It has to be stored in plastic or wax
lined glass bottles in dark
(3) It has to be kept away from dust
(4) It can act only as an oxidizing agent

11. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 11
28. Which one of the following alkaline earth
metal sulphates has its hydration enthalpy
greater than its lattice enthalpy ?
(1) BeSO4
(2) BaSO4
(3) SrSO4
(4) CaSO4
29. The standard Gibbs energy change at
300 K for the reaction 2A B C1ì is
2494.2 J. At a given time, the composition
of the reaction mixture is
1
[A]
2
5 , [B]52
and
1
[C]
2
5 . The reaction proceeds in
the : [R58.314 J/K/mol, e52.718]
(1) reverse direction because Q > Kc
(2) forward direction because Q < Kc
(3) reverse direction because Q < Kc
(4) forward direction because Q > Kc
30. Which one has the highest boiling point ?
(1) Ne
(2) Kr
(3) Xe
(4) He
28. çِÙçÜç¹Ì ×ð´ âð ·¤æñÙ âð ÿææÚUèØ ×ëÎæ ÏæÌé âËÈð¤ÅU
·¤è ÁÜØæðÁÙ °ð‹ÍæËÂè ©â·ð¤ ÁæÜ·¤ °ð‹ÍæËÂè âð
¥çÏ·¤ ãñ?
(1) BeSO4
(2) BaSO4
(3) SrSO4
(4) CaSO4
29. 300 K ÂÚU ¥çÖç·ý¤Øæ 2A B C1ì ·¤è ×æÙ·¤
绎$Á ª¤Áæü 2494.2 J ãñÐ çΰ »° â×Ø ×ð´
¥çÖç·ý¤Øæ çןæ‡æ ·¤æ â´ƒæÅUÙ
1
[A]
2
5 ,
[B]52 ¥æñÚU
1
[C]
2
5 ãñÐ ¥çÖç·ý¤Øæ ¥»ýçâÌ ãæðÌè
ãñ Ñ [R58.314 J/K/mol, e52.718]
(1) çßÂÚUèÌ çÎàææ ×ð´ €Øæð´ç·¤ Q > Kc
(2) ¥»ý çÎàææ ×ð´ €Øæð´ç·¤ Q < Kc
(3) çßÂÚUèÌ çÎàææ ×ð´ €Øæð´ç·¤ Q < Kc
(4) ¥»ý çÎàææ ×ð´ €Øæð´ç·¤ Q > Kc
30. çِÙçÜç¹Ì ×ð´ âð âßæüçÏ·¤ €ßÍÙæ´·¤ 緤ⷤæ ãñ?
(1) Ne
(2) Kr
(3) Xe
(4) He

12. B/Page 12 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
PART B — MATHEMATICS Öæ» B — »ç‡æÌ
31. The sum of coefficients of integral powers
of x in the binomial expansion of
( )
50
1 2 x2 is :
(1) ( )501
3
2
(2) ( )501
3 1
2
2
(3) ( )501
2 1
2
1
(4) ( )501
3 1
2
1
32. Let f (x) be a polynomial of degree four
having extreme values at x51 and x52.
If 20
( )
1 3
x
f x
lim
x→
 
 
 
1 5 , then f (2) is equal
to :
(1) 24
(2) 0
(3) 4
(4) 28
33. The mean of the data set comprising of 16
observations is 16. If one of the observation
valued 16 is deleted and three new
observations valued 3, 4 and 5 are added
to the data, then the mean of the resultant
data, is :
(1) 16.0
(2) 15.8
(3) 14.0
(4) 16.8
31. ( )
50
1 2 x2 ·ð¤ çmÂÎ ÂýâæÚU ×ð´ x ·¤è Âê‡ææZ·¤èØ
ƒææÌæ𴠷𤠻é‡ææ´·¤æð´ ·¤æ Øæð» ãñ Ñ
(1) ( )501
3
2
(2) ( )501
3 1
2
2
(3) ( )501
2 1
2
1
(4) ( )501
3 1
2
1
32. ×æÙæ f (x) ƒææÌ 4 ·¤æ °·¤ ÕãéÂÎ ãñ çÁâ·ð¤
x51 ÌÍæ x52 ÂÚU ¿ÚU× ×æÙ ãñ´Ð ØçÎ
20
( )
1 3
x
f x
lim
x→
 
 
 
1 5 ãñ, Ìæð f (2) ÕÚUæÕÚU ãñ Ñ
(1) 24
(2) 0
(3) 4
(4) 28
33. 16 Âýðÿæ‡ææð´ ßæÜð ¥æ¡·¤Ç¸æð´ ·¤æ ×æŠØ 16 ãñÐ ØçÎ °·¤
Âýðÿæ‡æ çÁâ·¤æ ×æÙ 16 ãñ, ·¤æð ãÅUæ ·¤ÚU, 3 ÙØð Âýðÿæ‡æ
çÁÙ·ð¤ ×æÙ 3, 4 ÌÍæ 5 ãñ´, ¥æ¡·¤Ç¸æð´ ×ð´ ç×Üæ çÎØð ÁæÌð
ãñ´, Ìæð ÙØð ¥æ¡·¤Ç¸æð´ ·¤æ ×æŠØ ãñ Ñ
(1) 16.0
(2) 15.8
(3) 14.0
(4) 16.8

13. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 13
34. The sum of first 9 terms of the series
3 3 3 3 33
1 2 1 2 31
....
1 1 3 1 3 5
1 1 1
1 1 1
1 1 1
is :
(1) 96
(2) 142
(3) 192
(4) 71
35. Let O be the vertex and Q be any point on
the parabola, x258y. If the point P divides
the line segment OQ internally in the ratio
1 : 3, then the locus of P is :
(1) y25x
(2) y252x
(3) x252y
(4) x25y
36. Let a and b be the roots of equation
x226x2250. If an5an2bn, for n/1,
then the value of 10 8
9
a 2a
2a
2
is equal to :
(1) 26
(2) 3
(3) 23
(4) 6
34. Ÿæð‡æè
3 3 3 3 33
1 2 1 2 31
....
1 1 3 1 3 5
1 1 1
1 1 1
1 1 1
·ð¤
Âý‰æ× 9 ÂÎæð´ ·¤æ Øæð» ãñ Ñ
(1) 96
(2) 142
(3) 192
(4) 71
35. ×æÙæ ÂÚUßÜØ x258y ·¤æ àæèáü O ÌÍæ ©â ÂÚU ·¤æð§ü
çÕ´Îé Q ãñÐ ØçÎ çÕ´Îé P, ÚðU¹æ¹´ÇU OQ ·¤æð
1 : 3 ·ð¤ ¥æ´ÌçÚU·¤ ¥ÙéÂæÌ ×ð´ Õæ¡ÅUÌæ ãñ, Ìæð P ·¤æ
çÕ´ÎéÂÍ ãñ Ñ
(1) y25x
(2) y252x
(3) x252y
(4) x25y
36. ×æÙæ a ÌÍæ b çmƒææÌ â×è·¤ÚU‡æ x226x2250 ·ð¤
×êÜ ãñ´Ð ØçÎ n/1 ·ð¤ çÜ°, an5an2bn ãñ, Ìæð
10 8
9
a 2a
2a
2
·¤æ ×æÙ ãñ Ñ
(1) 26
(2) 3
(3) 23
(4) 6

14. B/Page 14 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
37. If 12 identical balls are to be placed in 3
identical boxes, then the probability that
one of the boxes contains exactly 3 balls
is :
(1)
10
2
55
3
 
 
 
(2)
12
1
220
3
 
 
 
(3)
11
1
22
3
 
 
 
(4)
11
55 2
3 3
 
 
 
38. A complex number z is said to be
unimodular if ?z?51. Suppose z1 and z2
are complex numbers such that
1 2
1 2
2
2
z z
z z
2
2
is unimodular and z2 is not unimodular.
Then the point z1 lies on a :
(1) straight line parallel to y-axis.
(2) circle of radius 2.
(3) circle of radius 2 .
(4) straight line parallel to x-axis.
37. ØçÎ 12 °·¤ Áñâè »ð´Îð´, 3 °·¤ Áñâð Õ€âæð´ ×ð´ ÚU¹è ÁæÌè
ãñ´, Ìæð §Ù×ð´ âð °·¤ Õ€âð ×ð´ ÆUè·¤ 3 »ð´Îð´ ãæðÙð ·¤è
ÂýæçØ·¤Ìæ ãñ Ñ
(1)
10
2
55
3
 
 
 
(2)
12
1
220
3
 
 
 
(3)
11
1
22
3
 
 
 
(4)
11
55 2
3 3
 
 
 
38. °·¤ âç×Ÿæ ⴁØæ z °·¤×æÂæ´·¤è ·¤ãÜæÌè ãñ ØçÎ
?z?51 ãñÐ ×æÙæ z1 ÌÍæ z2 °ðâè âç×Ÿæ ⴁØæ°¡ ãñ´
ç·¤ 1 2
1 2
2
2
z z
z z
2
2
°·¤×æÂæ´·¤è ãñ ÌÍæ z2 °·¤×æÂæ´·¤è
Ùãè´ ãñ, Ìæð çÕ´Îé z1 çSÍÌ ãñ Ñ
(1) y-¥ÿæ ·ð¤ â×æ´ÌÚU °·¤ ÚðU¹æ ÂÚUÐ
(2) 2 ç˜æ’Øæ ßæÜð ßëžæ ÂÚUÐ
(3) 2 ç˜æ’Øæ ßæÜð ßëžæ ÂÚUÐ
(4) x-¥ÿæ ·ð¤ â×æ´ÌÚU °·¤ ÚðU¹æ ÂÚUÐ

15. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 15
39. The integral 3
42 4
d
( 1)
x
x x
∫ 1
equals :
(1)
1
44
( 1) cx 1 1
(2)
1
44
( 1) cx2 1 1
(3)
1
44
4
1
c
x
x
 
 
 
 
1
2 1
(4)
1
44
4
1
c
x
x
 
 
 
 
1
1
40. The number of points, having both
co-ordinates as integers, that lie in the
interior of the triangle with vertices (0, 0),
(0, 41) and (41, 0), is :
(1) 861
(2) 820
(3) 780
(4) 901
41. The distance of the point (1, 0, 2) from the
point of intersection of the line
12 2
3 4 12
yx z12 2
5 5 and the plane
x2y1z516, is :
(1) 8
(2) 3 21
(3) 13
(4) 2 14
39. â×æ·¤Ü 3
42 4
d
( 1)
x
x x
∫ 1
ÕÚUæÕÚU ãñ Ñ
(1)
1
44
( 1) cx 1 1
(2)
1
44
( 1) cx2 1 1
(3)
1
44
4
1
c
x
x
 
 
 
 
1
2 1
(4)
1
44
4
1
c
x
x
 
 
 
 
1
1
40. ç˜æÖéÁ, çÁâ·ð¤ àæèáü (0, 0), (0, 41) ÌÍæ (41, 0) ãñ´,
·ð¤ ¥æ´ÌçÚU·¤ Öæ» ×ð´ çSÍÌ ©Ù çÕ´Îé¥æð´ ·¤è ⴁØæ
çÁÙ·ð¤ ÎæðÙæð´ çÙÎðüàææ´·¤ Âê‡ææZ·¤ ãñ´, ãñ Ñ
(1) 861
(2) 820
(3) 780
(4) 901
41. ÚðU¹æ
12 2
3 4 12
yx z12 2
5 5 ÌÍæ â×ÌÜ
x2y1z516 ·ð¤ ÂýçÌ‘ÀðUÎ çÕ´Îé ·¤è, çÕ´Îé (1, 0, 2)
âð ÎêÚUè ãñ Ñ
(1) 8
(2) 3 21
(3) 13
(4) 2 14

16. B/Page 16 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
42. The equation of the plane containing the
line 2x25y1z53; x1y14z55, and
parallel to the plane, x13y16z51, is :
(1) x13y16z527
(2) x13y16z57
(3) 2x16y112z5213
(4) 2x16y112z513
43. The area (in sq. units) of the region
described by
{(x, y) : y2 [ 2x and y / 4x 2 1} is :
(1)
5
64
(2)
15
64
(3)
9
32
(4)
7
32
44. If m is the A.M. of two distinct real
numbers l and n (l, n > 1) and G1, G2 and
G3 are three geometric means between l
and n, then 4 4 4
1 2 3G 2G G1 1 equals.
(1) 4 lm2n
(2) 4 lmn2
(3) 4 l2m2n2
(4) 4 l2mn
42. ÚðU¹æ 2x25y1z53, x1y14z55 ·¤æð ¥´ÌçßücÅU
·¤ÚUÙð ßæÜð â×ÌÜ, Áæð â×ÌÜ x13y16z51 ·ð¤
â×æ´ÌÚU ãñ, ·¤æ â×è·¤ÚU‡æ ãñ Ñ
(1) x13y16z527
(2) x13y16z57
(3) 2x16y112z5213
(4) 2x16y112z513
43. {(x, y) : y2[ 2x ÌÍæ y / 4x 2 1} mæÚUæ ÂçÚUÖæçáÌ
ÿæð˜æ ·¤æ ÿæð˜æÈ¤Ü (ß»ü §·¤æ§Øæð´) ×ð´ ãñ Ñ
(1)
5
64
(2)
15
64
(3)
9
32
(4)
7
32
44. ØçÎ Îæð çßçÖ‹Ù ßæSÌçß·¤ ⴁØæ¥æð´ l ÌÍæ n
(l, n > 1) ·¤æ â×æ´ÌÚU ×æŠØ (A.M.) m ãñ ¥æñÚU l ÌÍæ
n ·ð¤ Õè¿ ÌèÙ »é‡ææðžæÚU ×æŠØ (G.M.) G1, G2 ÌÍæ
G3 ãñ´, Ìæð 4 4 4
1 2 3G 2G G1 1 ÕÚUæÕÚU ãñ Ñ
(1) 4 lm2n
(2) 4 lmn2
(3) 4 l2m2n2
(4) 4 l2mn

17. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 17
45. Locus of the image of the point (2, 3) in
the line (2x23y14)1k (x22y13)50,
k e R, is a :
(1) straight line parallel to y-axis.
(2) circle of radius 2 .
(3) circle of radius 3 .
(4) straight line parallel to x-axis.
46. The area (in sq. units) of the quadrilateral
formed by the tangents at the end points
of the latera recta to the ellipse
22
1
9 5
yx
1 5 , is :
(1) 18
(2)
27
2
(3) 27
(4)
27
4
47. The number of integers greater than 6,000
that can be formed, using the digits 3, 5, 6,
7 and 8, without repetition, is :
(1) 192
(2) 120
(3) 72
(4) 216
48. Let A and B be two sets containing four
and two elements respectively. Then the
number of subsets of the set A3B, each
having at least three elements is :
(1) 256
(2) 275
(3) 510
(4) 219
45. çÕ´Îé (2, 3) ·ð¤ ÚðU¹æ
(2x23y14)1k (x22y13)50, k e R ×ð´
ÂýçÌçÕ´Õ ·¤æ çÕ´ÎéÂÍ °·¤ Ñ
(1) y-¥ÿæ ·ð¤ â×æ´ÌÚU ÚðU¹æ ãñÐ
(2) 2 ç˜æ’Øæ ·¤æ ßëžæ ãñÐ
(3) 3 ç˜æ’Øæ ·¤æ ßëžæ ãñÐ
(4) x-¥ÿæ ·ð¤ â×æ´ÌÚU ÚðU¹æ ãñÐ
46. Îèƒæüßëžæ
22
1
9 5
yx
1 5 ·ð¤ ÙæçÖܐÕæð´ ·ð¤ çâÚUæð´ ÂÚU
¹è´¿è »§ü SÂàæü ÚðU¹æ¥æð´ mæÚUæ çÙç×üÌ ¿ÌéÖéüÁ ·¤æ ÿæð˜æȤÜ
(ß»ü §·¤æ§Øæð´ ×ð´) ãñ Ñ
(1) 18
(2)
27
2
(3) 27
(4)
27
4
47. ¥´·¤æð´ 3, 5, 6, 7 ÌÍæ 8 ·ð¤ ÂýØæð» âð, çÕÙæ ÎæðãÚUæØð,
ÕÙÙð ßæÜð 6,000 âð ÕǸð Âê‡ææZ·¤æð´ ·¤è ⴁØæ ãñ Ñ
(1) 192
(2) 120
(3) 72
(4) 216
48. ×æÙæ A ÌÍæ B Îæð â×é‘¿Ø ãñ´ çÁÙ×ð´ ·ý¤×àæÑ ¿æÚU ÌÍæ
Îæð ¥ßØß ãñ´, Ìæð â×é‘¿Ø A3B ·ð¤ ©Ù ©Ââ×é‘¿Øæð´
·¤è ⴁØæ, çÁÙ×ð´ ÂýˆØð·¤ ×ð´ ·¤× âð ·¤× ÌèÙ ¥ßØß
ãñ´, ãñ Ñ
(1) 256
(2) 275
(3) 510
(4) 219

18. B/Page 18 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
49. Let
1 1 1
2
2
tan tan tan ,
1
x
y x
x
 
 
 
2 2 2
5 1
2
where
1
<
3
x? ? . Then a value of y is :
(1)
3
2
3
1 3
x x
x
1
2
(2)
3
2
3
1 3
x x
x
2
1
(3)
3
2
3
1 3
x x
x
1
1
(4)
3
2
3
1 3
x x
x
2
2
50. The integral
4 2
2 2
2
log
d
log log (36 12 )
x
x
x x x
∫ 1 2 1
is equal to :
(1) 4
(2) 1
(3) 6
(4) 2
51. The negation of ~ s Ú (~ r Ù s ) is equivalent
to :
(1) s Ù (r Ù ~ s)
(2) s Ú (r Ú ~ s)
(3) s Ù r
(4) s Ù ~ r
49. ×æÙæ
1 1 1
2
2
tan tan tan ,
1
x
y x
x
 
 
 
2 2 2
5 1
2
Áãæ¡
1
<
3
x? ? ãñ, Ìæð y ·¤æ °·¤ ×æÙ ãñ Ñ
(1)
3
2
3
1 3
x x
x
1
2
(2)
3
2
3
1 3
x x
x
2
1
(3)
3
2
3
1 3
x x
x
1
1
(4)
3
2
3
1 3
x x
x
2
2
50. â×æ·¤Ü
4 2
2 2
2
log
d
log log (36 12 )
x
x
x x x
∫ 1 2 1
ÕÚUæÕÚU ãñ Ñ
(1) 4
(2) 1
(3) 6
(4) 2
51. ~ s Ú (~ r Ù s ) ·¤æ çÙáðÏ â×ÌéËØ ãñ Ñ
(1) s Ù (r Ù ~ s)
(2) s Ú (r Ú ~ s)
(3) s Ù r
(4) s Ù ~ r

19. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 19
52. If the angles of elevation of the top of a
tower from three collinear points A, B and
C, on a line leading to the foot of the
tower, are 308, 458 and 608 respectively,
then the ratio, AB : BC, is :
(1) 3 : 2
(2) 1 : 3
(3) 2 : 3
(4) 3 : 1
53. ( )( )
0
1 cos 2 3 cos
tan 4x
x xlim
x x→
2 1
is equal to :
(1) 3
(2) 2
(3)
1
2
(4) 4
54. Let a , b and c
→→ →
be three non-zero vectors
such that no two of them are collinear and
1
( a b ) c acb
3
→ →→ → →→
3 3 5 . If u is the
angle between vectors b
→
and c
→
, then a
value of sinu is :
(1)
2
3
2
(2)
2
3
(3)
2 3
3
2
(4)
2 2
3
52. ÌèÙ â´ÚðU¹ çÕ´Îé¥æð´ A, B ÌÍæ C, °·¤ °ðâè ÚðU¹æ ÂÚU
çSÍÌ ãñ´ Áæð °·¤ ×èÙæÚU ·ð¤ ÂæÎ ·¤è çÎàææ ×ð´ Üð ÁæÌè ãñ,
âð °·¤ ×èÙæÚU ·ð¤ çàæ¹ÚU ·ð¤ ©‹ÙØÙ ·¤æð‡æ ·ý¤×àæÑ
308, 458 ÌÍæ 608 ãñ´, Ìæð AB : BC ·¤æ ¥ÙéÂæÌ ãñ Ñ
(1) 3 : 2
(2) 1 : 3
(3) 2 : 3
(4) 3 : 1
53. ( )( )
0
1 cos 2 3 cos
tan 4x
x xlim
x x→
2 1
ÕÚUæÕÚU ãñ Ñ
(1) 3
(2) 2
(3)
1
2
(4) 4
54. ×æÙæ a , b
→→
ÌÍæ c
→
ÌèÙ àæê‹ØðÌÚU °ðâð âçÎàæ ãñ´ ç·¤
©Ù×ð´ âð ·¤æð§ü Îæð â´ÚUð¹ Ùãè´ ã´ñ ÌÍæ
1
( a b ) c acb
3
→ →→ → →→
3 3 5 ãñÐ ØçÎ âçÎàææð´
b
→
ÌÍæ c
→
·ð¤ Õè¿ ·¤æ ·¤æð‡æ u ãñ, Ìæð sinu ·¤æ °·¤
×æÙ ãñ Ñ
(1)
2
3
2
(2)
2
3
(3)
2 3
3
2
(4)
2 2
3

20. B/Page 20 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
55. If
1 2 2
A 2 1 2
a 2 b
 
 
 
  
5 2 is a matrix satisfying
the equation AAT59I, where I is 333
identity matrix, then the ordered pair
(a, b) is equal to :
(1) (22, 1)
(2) (2, 1)
(3) (22, 21)
(4) (2, 21)
56. If the function.
1 , 0 3
g( )
m 2 , 3 < 5
k x x
x
x x



1 [ [
5
1 [
is differentiable, then the value of k1m is :
(1)
16
5
(2)
10
3
(3) 4
(4) 2
57. The set of all values of l for which the
system of linear equations :
2x122x21x35lx1
2x123x212x35lx2
2x112x2 5lx3
has a non-trivial solution,
(1) is a singleton.
(2) contains two elements.
(3) contains more than two elements.
(4) is an empty set.
55. ØçÎ
1 2 2
A 2 1 2
a 2 b
 
 
 
  
5 2 °·¤ °ðâæ ¥æÃØêã ãñ Áæð
¥æÃØêã â×è·¤ÚU‡æ AAT59I, ·¤æð â´ÌécÅU ·¤ÚUÌæ ãñ,
Áãæ¡ I, 333 ·¤æ ̈â×·¤ ¥æÃØêã ãñ, Ìæð ·ý¤ç×Ì Øé‚×
(a, b) ·¤æ ×æÙ ãñ Ñ
(1) (22, 1)
(2) (2, 1)
(3) (22, 21)
(4) (2, 21)
56. ØçΠȤÜÙ
1 , 0 3
g( )
m 2 , 3 < 5
k x x
x
x x



1 [ [
5
1 [
¥ß·¤ÜÙèØ ãñ, Ìæð k1m ·¤æ ×æÙ ãñ Ñ
(1)
16
5
(2)
10
3
(3) 4
(4) 2
57. l ·ð¤ âÖè ×æÙæð´ ·¤æ â×é‘¿Ø, çÁÙ·ð¤ çÜ° ÚñUç¹·¤
â×è·¤ÚU‡æ çÙ·¤æØ
2x122x21x35lx1
2x123x212x35lx2
2x112x2 5lx3
·¤æ °·¤ ¥Ìé‘ÀU ãÜ ãñ,
(1) °·¤ °·¤Ü â×é‘¿Ø ãñÐ
(2) ×ð´ Îæð ¥ßØß ãñ´Ð
(3) ×ð´ Îæð âð ¥çÏ·¤ ¥ßØß ãñ´Ð
(4) °·¤ çÚU€Ì â×é‘¿Ø ãñÐ

21. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 21
58. The normal to the curve,
x212xy23y250, at (1, 1) :
(1) meets the curve again in the second
quadrant.
(2) meets the curve again in the third
quadrant.
(3) meets the curve again in the fourth
quadrant.
(4) does not meet the curve again.
59. The number of common tangents to the
circles x21y224x26y21250 and
x21y216x118y12650, is :
(1) 2
(2) 3
(3) 4
(4) 1
60. Let y(x) be the solution of the differential
equation
d
( log ) 2 log , ( 1).
d
y
x x y x x x
x
1 5 /
Then y(e) is equal to :
(1) 0
(2) 2
(3) 2e
(4) e
58. ß·ý¤ x212xy23y250 ·ð¤ çÕ´Îé (1, 1) ÂÚU
¥çÖÜÕ Ñ
(1) ß·ý¤ ·¤æð ÎæðÕæÚUæ çmÌèØ ¿ÌéÍæZàæ ×ð´ ç×ÜÌæ ãñÐ
(2) ß·ý¤ ·¤æð ÎæðÕæÚUæ ÌëÌèØ ¿ÌéÍæZàæ ×ð´ ç×ÜÌæ ãñÐ
(3) ß·ý¤ ·¤æð ÎæðÕæÚUæ ¿ÌéÍü ¿ÌéÍæZàæ ×ð´ ç×ÜÌæ ãñÐ
(4) ß·ý¤ ·¤æð ÎæððÕæÚUæ Ùãè´ ç×ÜÌæÐ
59. ßëžææð´ x21y224x26y21250 ÌÍæ
x21y216x118y12650 ·¤è ©ÖØçÙcÆU SÂàæü
ÚðU¹æ¥æð´ ·¤è ⴁØæ ãñ Ñ
(1) 2
(2) 3
(3) 4
(4) 1
60. ×æÙæ ¥ß·¤Ü â×è·¤ÚU‡æ
d
( log ) 2 log , ( 1)
d
y
x x y x x x
x
1 5 /
·¤æ ãÜ y(x) ãñ, Ìæð y(e) ÕÚUæÕÚU ãñ Ñ
(1) 0
(2) 2
(3) 2e
(4) e
SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã

22. B/Page 22 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
PART C — PHYSICS Öæ» C — ÖæñçÌ·¤ çß™ææÙ
61. As an electron makes a transition from an
excited state to the ground state of a
hydrogen - like atom/ion :
(1) kinetic energy, potential energy and
total energy decrease
(2) kinetic energy decreases, potential
energy increases but total energy
remains same
(3) kinetic energy and total energy
decrease but potential energy
increases
(4) its kinetic energy increases but
potential energy and total energy
decrease
62. The period of oscillation of a simple
pendulum is
L
T 2
g
5 p . Measured value
of L is 20.0 cm known to 1 mm accuracy
and time for 100 oscillations of the
pendulum is found to be 90 s using a wrist
watch of 1s resolution. The accuracy in
the determination of g is :
(1) 3%
(2) 1%
(3) 5%
(4) 2%
61. ÁÕ ·¤æð§ü §Üð€ÅþUæòÙ, ãæ§ÇþUæðÁÙ Áñâð ÂÚU×æ‡æé /¥æØÙ
·¤è ©žæðçÁÌ ¥ßSÍæ âð ‹ØêÙÌ× ª¤Áæü ¥ßSÍæ ×ð´
â´·ý¤×‡æ ·¤ÚUÌæ ãñ Ìæð ©â·¤è Ñ
(1) »çÌÁ ª¤Áæü, çSÍçÌÁ ª¤Áæü ÌÍæ ·é¤Ü ª¤Áæü ×ð´
·¤×è ãæð ÁæÌè ãñÐ
(2) »çÌÁ ª¤Áæü ·¤× ãæðÌè ãñ, çSÍçÌÁ ª¤Áæü ÕɸÌè
ãñ ¥æñÚU ·é¤Ü ª¤Áæü ßãè ÚUãÌè ãñÐ
(3) »çÌÁ ª¤Áæü ß ·é¤Ü ª¤Áæü ·¤× ãæð ÁæÌè ãñ´
ç·¤‹Ìé, çSÍçÌÁ ª¤Áæü Õɸ ÁæÌè ãñÐ
(4) »çÌÁ ª¤Áæü ×ð´ ßëçh ÌÍæ çSÍçÌÁ ª¤Áæü ÌÍæ
·é¤Ü ª¤Áæü ×ð´ ·¤×è ãæðÌè ãñÐ
62. ç·¤âè âÚUÜ ÜæðÜ·¤ ·¤æ ¥æßÌü, L
T 2
g
5 p ãñÐ
L ·¤æ ×æçÂÌ ×æÙ 20.0 cm ãñ, çÁâ·¤è ØÍæÍüÌæ
1 mm ãñÐ §â ÜæðÜ·¤ ·ð¤ 100 ÎæðÜÙæð´ ·¤æ â×Ø
90 s ãñ, çÁâð 1s çßÖðÎÙ ·¤è ƒæǸè âð ÙæÂæ »Øæ ãñÐ Ìæð,
g ·ð¤ çÙÏæüÚU‡æ ×ð´ ØÍæÍüÌæ ãæð»è Ñ
(1) 3%
(2) 1%
(3) 5%
(4) 2%

23. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 23
63. ç·¤âè ܐÕð ÕðÜÙæ·¤æÚU ·¤æðàæ ·ð¤ ª¤ÂÚUè Öæ» ×ð´ ÏÙæˆ×·¤
ÂëcÆU ¥æßðàæ s ÌÍæ çÙ¿Üð Öæ» ×ð´ «¤‡ææˆ×·¤ ÂëcÆU
¥æßðàæ 2s ãñ´Ð §â ÕðÜÙ (çâçÜ‹ÇUÚU) ·ð¤ ¿æÚUæð´
¥æðÚU çßléÌ ÿæð˜æ-ÚðU¹æØð´, Øãæ¡ ÎàææüØð »Øð ¥æÚð¹æð´ ×ð´ âð
緤⠥æÚðU¹ ·ð¤ â×æÙ ãæð´»è?
(Øã ¥æÚðU¹ ·ð¤ßÜ ÃØßSÍæ ¥æÚðU¹ ãñ ¥æñÚU S·ð¤Ü ·ð¤
¥ÙéâæÚU Ùãè´ ãñ)
(1)
(2)
(3)
(4)
64. 5 kHz ¥æßëçžæ ·ð¤ ç·¤âè â´·ð¤Ì (çâ‚ÙÜ) ·¤æ
2 MHz ¥æßëçžæ ·¤è ßæã·¤ ÌÚ´U» ÂÚU ¥æØæ× ×æòÇéUÜÙ
ç·¤Øæ »Øæ ãñÐ Ìæð, ÂçÚU‡ææ×è çâ‚ÙÜ (â´·ð¤Ì) ·¤è
¥æßëçžæ ãæð»è Ñ
(1) 2005 kHz, ÌÍæ 1995 kHz
(2) 2005 kHz, 2000 kHz ÌÍæ 1995 kHz
(3) 2000 kHz ÌÍæ 1995 kHz
(4) 2 MHz ·ð¤ßÜ
63. A long cylindrical shell carries positive
surface charge s in the upper half and
negative surface charge 2s in the lower
half. The electric field lines around the
cylinder will look like figure given in :
(figures are schematic and not drawn to scale)
(1)
(2)
(3)
(4)
64. A signal of 5 kHz frequency is amplitude
modulated on a carrier wave of frequency
2 MHz. The frequencies of the resultant
signal is/are :
(1) 2005 kHz, and 1995 kHz
(2) 2005 kHz, 2000 kHz and 1995 kHz
(3) 2000 kHz and 1995 kHz
(4) 2 MHz only

24. B/Page 24 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
65. ç·¤âè »æðÜèØ ·¤æðàæ (àæñÜ) ·¤è ç˜æ’Øæ R ãñ ¥æñÚU §â·¤æ
Ìæ T ãñÐ §â·ð¤ ÖèÌÚU ·ë¤çc‡æ·¤æ çßç·¤ÚU‡ææð´ ·¤æð ȤæðÅUæòÙæð´
·¤è °·¤ °ðâè ¥æÎàæü »ñâ ×æÙæ Áæ â·¤Ìæ ãñ çÁâ·¤è
ÂýçÌ §·¤æ§ü ¥æØÌÙ ¥æ‹ÌçÚU·¤ ª¤Áæü, 4U
u T
V
5 ;
ÌÍæ ÎæÕ,
1 U
p
3 V
 
 
 
5 ãñÐ ØçÎ §â ·¤æðàæ ×ð´ L¤Î÷Ïæðc×
ÂýâæÚU ãæð Ìæð, T ÌÍæ R ·ð¤ Õè¿ â´Õ´Ï ãæð»æ Ñ
(1) T ; e23R
(2)
1
T
R
;
(3) 3
1
T
R
;
(4) T ; e2R
66. ÎàææüØð »Øð ÂçÚUÂÍ ×ð´, °·¤ ÂýðÚU·¤ (L50.03H) ÌÍæ
°·¤ ÂýçÌÚUæðÏ·¤ (R50.15 kV) ç·¤âè 15V çßléÌ
ßæã·¤ ÕÜ (§ü.°×.°È¤) ·¤è ÕñÅUÚUè âð ÁéǸð ãñ´Ð ·é´¤Áè
K1 ·¤æð ÕãéÌ â×Ø Ì·¤ Õ‹Î ÚU¹æ »Øæ ãñÐ §â·ð¤
Âà¿æÌ÷ â×Ø t50 ÂÚU, K1 ·¤æð ¹æðÜ ·¤ÚU âæÍ ãè
âæÍ, K2 ·¤æð Õ‹Î ç·¤Øæ ÁæÌæ ãñÐ â×Ø t51ms
ÂÚU, ÂçÚUÂÍ ×ð´ çßléÌ ÏæÚUæ ãæð»è Ñ (e5@150)
(1) 67 mA
(2) 6.7 mA
(3) 0.67 mA
(4) 100 mA
65. Consider a spherical shell of radius R at
temperature T. The black body radiation
inside it can be considered as an ideal gas
of photons with internal energy per unit
volume 4U
u T
V
5 ; and pressure
1 U
p
3 V
 
 
 
5 . If the shell now undergoes
an adiabatic expansion the relation
between T and R is :
(1) T ; e23R
(2)
1
T
R
;
(3) 3
1
T
R
;
(4) T ; e2R
66. An inductor (L50.03H) and a resistor
(R50.15 kV) are connected in series to a
battery of 15V EMF in a circuit shown
below. The key K1 has been kept closed
for a long time. Then at t50, K1 is opened
and key K2 is closed simultaneously.
At t51ms, the current in the circuit will
be : (e5@150)
(1) 67 mA
(2) 6.7 mA
(3) 0.67 mA
(4) 100 mA

25. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 25
67. ç·¤âè °·¤â×æÙ ÌæÚU ·¤è ¥ÙéÂýSÍ·¤æÅU ·¤æ ÿæð˜æȤÜ
‘A’ ãñÐ §ââð ÕÙæØð »Øð °·¤ ÜæðÜ·¤ ·¤æ ¥æßÌü·¤æÜ
T ãñÐ §â ÜæðÜ·¤ ·ð¤ »æðÜ·¤ âð °·¤ ¥çÌçÚU€Ì M
ÎýÃØ×æÙ ÁæðǸ ÎðÙð âð ÜæðÜ·¤ ·¤æ ¥æßÌü·¤æÜ ÂçÚUßçÌüÌ
ãæð·¤ÚU TM ãæð ÁæÌæ ãñÐ ØçÎ §â ÌæÚU ·ð¤ ÂÎæÍü ·¤æ Ø´»
»é‡ææ´·¤ ‘Y’ ãæð Ìæð
1
Y
·¤æ ×æÙ ãæð»æ Ñ
(g5»éL¤ˆßèØ ˆßÚU‡æ)
(1)
2
M MgT
1
T A
  
  
   
2
(2)
2
MT A
1
T Mg
  
  
   
2
(3)
2
M
T A
1
T Mg
  
  
   
2
(4)
2
MT A
1
T Mg
  
  
   
2
68. °·¤ ÜæÜ Ú´U» ·¤æ °Ü.§ü.ÇUè. (Âý·¤æàæ ©ˆâÁü·¤ ÇUæØæðÇU)
0.1 ßæÅU ÂÚU, °·¤â×æÙ Âý·¤æàæ ©ˆâçÁüÌ ·¤ÚUÌæ ãñÐ
ÇUæØæðÇU âð 1 m ÎêÚUè ÂÚU, §â Âý·¤æàæ ·ð¤ çßléÌ ÿæð˜æ ·¤æ
¥æØæ× ãæð»æ Ñ
(1) 2.45 V/m
(2) 5.48 V/m
(3) 7.75 V/m
(4) 1.73 V/m
67. A pendulum made of a uniform wire of
cross sectional area A has time period T.
When an additional mass M is added to
its bob, the time period changes to TM. If
the Young’s modulus of the material of the
wire is Y then
1
Y
is equal to :
(g5gravitational acceleration)
(1)
2
M MgT
1
T A
  
  
   
2
(2)
2
MT A
1
T Mg
  
  
   
2
(3)
2
M
T A
1
T Mg
  
  
   
2
(4)
2
MT A
1
T Mg
  
  
   
2
68. A red LED emits light at 0.1 watt uniformly
around it. The amplitude of the electric
field of the light at a distance of 1 m from
the diode is :
(1) 2.45 V/m
(2) 5.48 V/m
(3) 7.75 V/m
(4) 1.73 V/m

26. B/Page 26 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
69. Îæð â×æÿæè ÂçÚUÙæçÜ·¤æ¥æð´ ×ð´, ÂýˆØð·¤ âð I ÏæÚUæ °·¤ ãè
çÎàææ ×ð´ ÂýßæçãÌ ãæð ÚUãè ãñÐ ØçÎ, ÕæãÚUè ÂçÚUÙæçÜ·¤æ
·ð¤ ·¤æÚU‡æ, ÖèÌÚUè ÂçÚUÙæçÜ·¤æ ÂÚU ¿éÕ·¤èØ ÕÜ
1F
→
ÌÍæ ÖèÌÚUè ÂçÚUÙæçÜ·¤æ ·ð¤ ·¤æÚU‡æ, ÕæãÚUè ÂçÚUÙæçÜ·¤æ
ÂÚU ¿éÕ·¤èØ ÕÜ 2F
→
ãæð Ìæð Ñ
(1) 1F
→
ÖèÌÚU ·¤è ¥æðÚU ß ¥ÚUèØ (ç˜æ’Ø) ãñ ¥æñÚU
2F
→
ÕæãÚU ·¤è ¥æðÚU ß ¥ÚUèØ ãñÐ
(2) 1F
→
ÖèÌÚU ·¤è ¥æðÚU ß ¥ÚUèØ ãñ ÌÍæ 2F
→
50
ãñÐ
(3) 1F
→
ÕæãÚU ·¤è ¥æðÚU ß ¥ÚUèØ ãñ ÌÍæ 2F
→
50
ãñÐ
(4) 1 2F F 0
→ →
5 5
70. °·¤ ¥æÎàæü »ñâ ç·¤âè Õ‹Î (â´ßëÌ), çßØé€Ì
(çßÜç»Ì) ·¤ÿæ ×ð´ âèç×Ì (ÚU¹è) ãñÐ §â »ñâ ×´ð´
L¤Î÷Ïæðc× ÂýâæÚU ãæðÙð ÂÚU, §â·ð¤ ¥‡æé¥æð´ ·ð¤ Õè¿ ÅU€·¤ÚU
·¤æ ¥æñâÌ ·¤æÜ (â×Ø) V
q
·ð¤ ¥ÙéâæÚU Õɸ ÁæÌæ ãñ,
Áãæ¡ V »ñâ ·¤æ ¥æØÌÙ ãñÐ Ìæð q ·¤æ ×æÙ ãæð»æ :
p
v
C
C
 
 
 
g 5
(1)
3 5
6
g 2
(2) 1
2
g 1
(3)
1
2
g 2
(4)
3 5
6
g 1
69. Two coaxial solenoids of different radii
carry current I in the same direction. Let
1F
→
be the magnetic force on the inner
solenoid due to the outer one and 2F
→
be
the magnetic force on the outer solenoid
due to the inner one. Then :
(1) 1F
→
is radially inwards and 2F
→
is
radially outwards
(2) 1F
→
is radially inwards and 2F
→
50
(3) 1F
→
is radially outwards and 2F
→
50
(4) 1 2F F 0
→ →
5 5
70. Consider an ideal gas confined in an
isolated closed chamber. As the gas
undergoes an adiabatic expansion, the
average time of collision between
molecules increases as V
q
, where V is the
volume of the gas. The value of q is :
p
v
C
C
 
 
 
g 5
(1)
3 5
6
g 2
(2) 1
2
g 1
(3)
1
2
g 2
(4)
3 5
6
g 1

27. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 27
71. LCR (°Ü.âè.¥æÚU) ÂçÚUÂÍ ç·¤âè ¥ß×´çÎÌ ÜæðÜ·¤
·ð¤ ÌéËØ ãæðÌæ ãñÐ ç·¤âè LCR ÂçÚUÂÍ ×ð´ â´ÏæçÚU˜æ ·¤æð
Q0 Ì·¤ ¥æßðçàæÌ ç·¤Øæ »Øæ ãñ, ¥æñÚU çȤÚU §âð ¥æÚðU¹
×ð´ ÎàææüØð »Øð ¥ÙéâæÚU L ß R âð ÁæðÇ¸æ »Øæ ãñÐ
ØçÎ °·¤ çßlæÍèü L ·ð¤, Îæð çßçÖóæ ×æÙæð´, L1 ÌÍæ L2
(L1>L2) ·ð¤ çÜØð, â×Ø t ÌÍæ â´ÏæçÚU˜æ ÂÚU
¥çÏ·¤Ì× ¥æßðàæ ·ð¤ ß»ü 2
MaxQ ·ð¤ Õè¿ Îæð »ýæȤ
ÕÙæÌæ ãñ Ìæð çِÙæ´ç·¤Ì ×ð´ âð ·¤æñÙ âæ »ýæȤ âãè ãñ?
(ŒÜæòÅU ·ð¤ßÜ ÃØßSÍæ ŒÜæòÅU ãñ´ ÌÍæ S·ð¤Ü ·ð¤ ¥ÙéâæÚU
Ùãè´ ãñ´)
(1)
(2)
(3)
(4)
71. An LCR circuit is equivalent to a damped
pendulum. In an LCR circuit the capacitor
is charged to Q0 and then connected to
the L and R as shown below :
If a student plots graphs of the square of
maximum charge ( 2
MaxQ ) on the capacitor
with time(t) for two different values L1 and
L2 (L1>L2) of L then which of the following
represents this graph correctly ? (plots are
schematic and not drawn to scale)
(1)
(2)
(3)
(4)

28. B/Page 28 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
72. °·¤ ÆUæðâ »æðÜð ·¤æ ÎýÃØ×æÙ M ÌÍæ ç˜æ’Øæ R ãñÐ
§ââð
R
2
ç˜æ’Øæ ·¤æ °·¤ »æðÜèØ Öæ», ¥æÚðU¹ ×ð´ ÎàææüØð
»Øð ¥ÙéâæÚU ·¤æÅU çÜØæ ÁæÌæ ãñÐ r5:(¥Ù‹Ì) ÂÚU
»éL¤ˆßèØ çßÖß ·ð¤ ×æÙ V ·¤æð àæê‹Ø (V50) ×æÙÌð
ãé°, §â Âý·¤æÚU ÕÙð ·¤æðÅUÚU (·ñ¤çßÅUè) ·ð¤ ·ð¤‹Îý ÂÚU,
»éL¤ˆßèØ çßÖß ·¤æ ×æÙ ãæð»æ Ñ
(G5 »éL¤ˆßèØ çSÍÚUæ¡·¤ ãñ )
(1)
GM
R
2
(2)
2GM
3R
2
(3)
2GM
R
2
(4)
GM
2R
2
73. °·¤ ÅþðUÙ (ÚðUÜ»æǸè) âèÏè ÂÅUçÚUØæð´ ÂÚU 20 ms21 ·¤è
¿æÜ âð »çÌ ·¤ÚU ÚUãè ãñÐ §â·¤è âèÅUè ·¤è ŠßçÙ ·¤è
¥æßëçžæ 1000 Hz ãñÐ ØçÎ ŠßçÙ ·¤è ßæØé ×ð´ ¿æÜ
320 ms21 ãæð Ìæð, ÂÅUçÚUØæð´ ·ð¤ çÙ·¤ÅU ¹Ç¸ð ÃØç€Ì ·ð¤
Âæâ âð ÅþðUÙ ·ð¤ »éÁÚUÙð ÂÚU, ©â ÃØç€Ì mæÚUæ âéÙè »§ü
âèÅUè ·¤è ŠßçÙ ·¤è ¥æßëçžæ ×ð´ ÂýçÌàæÌ ÂçÚUßÌüÙ ãæð»æ
ֻܻ Ñ
(1) 12%
(2) 18%
(3) 24%
(4) 6%
72. From a solid sphere of mass M and radius
R, a spherical portion of radius
R
2
is
removed, as shown in the figure. Taking
gravitational potential V50 at r5:, the
potential at the centre of the cavity thus
formed is :
(G5 gravitational constant)
(1)
GM
R
2
(2)
2GM
3R
2
(3)
2GM
R
2
(4)
GM
2R
2
73. A train is moving on a straight track with
speed 20 ms21. It is blowing its whistle at
the frequency of 1000 Hz. The percentage
change in the frequency heard by a person
standing near the track as the train passes
him is (speed of sound5320 ms21) close
to :
(1) 12%
(2) 18%
(3) 24%
(4) 6%

29. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 29
74.
Øãæ¡ ¥æÚðU¹ ×ð´ Îæð ŽÜæò·¤ (»éÅU·ð¤) A ¥æñÚU B ÎàææüØð »Øð
ãñ´ çÁÙ·ð¤ ÖæÚU ·ý¤×àæÑ 20 N ÌÍæ 100 N ãñ´Ð §‹ãð´,
°·¤ ÕÜ F mæÚUæ ç·¤âè ÎèßæÚU ÂÚU ÎÕæØæ Áæ ÚUãæ ãñÐ
ØçÎ ƒæáü‡æ »é‡ææ´·¤ ·¤æ ×æÙ, A ÌÍæ B ·ð¤ Õè¿ 0.1
ÌÍæ B ¥æñÚU ÎèßæÚU ·ð¤ Õè¿ 0.15 ãñ Ìæð, ÎèßæÚU mæÚUæ
ŽÜæò·¤ B ÂÚU Ü»æ ÕÜ ãæð»æ Ñ
(1) 80 N
(2) 120 N
(3) 150 N
(4) 100 N
75. ç·¤âè °·¤â×æÙ ÆUæðâ àæ´·é¤ ·ð¤ ÎýÃØ×æÙ ·ð¤‹Îý ·¤è
©â·ð¤ àæèáü âð ÎêÚUè z0 ãñÐ ØçÎ àæ´·é¤ ·ð¤ ¥æÏæÚU ·¤è
ç˜æ’Øæ R ÌÍæ àæ´·é¤ ·¤è ª¡¤¿æ§ü h ãæð Ìæð z0 ·¤æ ×æÙ
çِÙæ´ç·¤Ì ×ð´ âð ç·¤â·ð¤ ÕÚUæÕÚU ãæð»æ?
(1)
3h
4
(2)
5h
8
(3)
2
3h
8R
(4)
2
h
4R
74.
Given in the figure are two blocks A and B
of weight 20 N and 100 N, respectively.
These are being pressed against a wall by
a force F as shown. If the coefficient of
friction between the blocks is 0.1 and
between block B and the wall is 0.15, the
frictional force applied by the wall on block
B is :
(1) 80 N
(2) 120 N
(3) 150 N
(4) 100 N
75. Distance of the centre of mass of a solid
uniform cone from its vertex is z0. If the
radius of its base is R and its height is h
then z0 is equal to :
(1)
3h
4
(2)
5h
8
(3)
2
3h
8R
(4)
2
h
4R

30. B/Page 30 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
76. 10 cm ÌÍæ 5 cm ÖéÁæ¥æ𴠷𤠰·¤ ¥æØÌæ·¤æÚU ÜêÂ
(Âæàæ) âð °·¤ çßléÌ ÏæÚUæ, I 5 12 A, ÂýßæçãÌ ãæðU
ÚUãè ãñÐ §â Âæàæ ·¤æð ¥æÚðU¹ ×ð´ ÎàææüØð »Øð ¥ÙéâæÚU
çßçÖóæ ¥çÖçß‹Øæâæð´ (çSÍçÌØæð´) ×ð´ ÚU¹æ »Øæ ãñÐ
(a)
(b)
(c)
(d)
ØçÎ ßãæ¡ 0.3 T ÌèßýÌæ ·¤æ ·¤æð§ü °·¤â×æÙ ¿éÕ·¤èØ
ÿæð˜æ, ÏÙæˆ×·¤ z çÎàææ ×ð´ çßl×æÙ ãñ Ìæð, ÎàææüØð »Øð
緤⠥çÖçß‹Øæâ ×ð´, Øã Âæàæ (ÜêÂ) (i) SÍæØè
â´ÌéÜÙ ÌÍæ (ii) ¥SÍæØè â´ÌéÜÙ ×ð´, ãæð»æ?
(1) ·ý¤×àæÑ (a) ÌÍæ (c) ×ð´
(2) ·ý¤×àæÑ (b) ÌÍæ (d) ×ð´
(3) ·ý¤×àæÑ (b) ÌÍæ (c) ×ð´
(4) ·ý¤×àæÑ (a) ÌÍæ (b) ×ð´
76. A rectangular loop of sides 10 cm and
5 cm carrying a current I of 12 A is placed
in different orientations as shown in the
figures below :
(a)
(b)
(c)
(d)
If there is a uniform magnetic field of
0.3 T in the positive z direction, in which
orientations the loop would be in (i) stable
equilibrium and (ii) unstable equilibrium ?
(1) (a) and (c), respectively
(2) (b) and (d), respectively
(3) (b) and (c), respectively
(4) (a) and (b), respectively

31. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 31
77.
ÎàææüØð »Øð ÂçÚUÂÍ ×ð´ 1V ÂýçÌÚUæðÏ·¤ âð ÂýßæçãÌ ÏæÚUæ
ãæð»è Ñ
(1) 0 (àæê‹Ø) A
(2) 0.13 A, Q âð P ·¤æð
(3) 0.13 A, P âð Q ·¤æð
(4) 1.3 A, P âð Q ·¤è ¥æðÚU
78. R ç˜æ’Øæ ·ð¤ ç·¤âè °·¤â×æÙ ¥æßðçàæÌ ÆUæðâ »æðÜð ·ð¤
ÂëcÆU ·¤æ çßÖß V0 ãñ (: ·ð¤ âæÂðÿæ ×æÂæ »Øæ)Ð §â
»æðÜð ·ð¤ çÜØð, 0 0 03V 5V 3V
, ,
2 4 4
ÌÍæ 0V
4
çßÖßæð´
ßæÜð â×çßÖßè ÂëcÆUæð´ ·¤è ç˜æ’ØæØð´, ·ý¤×àæÑ
R1, R2, R3 ÌÍæ R4 ãñ´Ð Ìæð,
(1) R1 ¹ 0 ÌÍæ (R22R1) > (R42R3)
(2) R150 ÌÍæ R2 < (R42R3)
(3) 2R < R4
(4) R150 ÌÍæ R2 > (R42R3)
77.
In the circuit shown, the current in the 1V
resistor is :
(1) 0A
(2) 0.13 A, from Q to P
(3) 0.13 A, from P to Q
(4) 1.3 A, from P to Q
78. A uniformly charged solid sphere of radius
R has potential V0 (measured with respect
to :) on its surface. For this sphere the
equipotential surfaces with potentials
0 0 03V 5V 3V
, ,
2 4 4
and 0V
4
have radius R1,
R2, R3 and R4 respectively. Then
(1) R1 ¹ 0 and (R22R1) > (R42R3)
(2) R150 and R2 < (R42R3)
(3) 2R < R4
(4) R150 and R2 > (R42R3)

32. B/Page 32 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
79. çÎØð »Øð ÂçÚUÂÍ ×ð´, C ·ð¤ ×æÙ ·ð¤ 1mF âð 3mF
ÂçÚUßçÌüÌ ãæðÙð âð, 2mF â´ÏæçÚU˜æ ÂÚU ¥æßðàæ Q2 ×ð´
ÂçÚUßÌüÙ ãæðÌæ ãñÐ ‘C’ ·ð¤ ȤÜÙ ·ð¤ M¤Â ×ð´ Q2 ·¤æð
·¤æñÙ âæ ¥æÜð¹ âãè ÎàææüÌæ ãñ? (¥æÜð¹ ·ð¤ßÜ
ÃØßSÍæ ¥æÚðU¹ ãñ´ ¥æñÚU S·ð¤Ü ·ð¤ ¥ÙéâæÚU Ùãè´ ãñ´Ð)
(1)
(2)
(3)
(4)
80. x-çÎàææ ×ð´ 2v ¿æÜ âð ¿ÜÌð ãé° m ÎýÃØ×æÙ ·ð¤ °·¤
·¤‡æ âð, y-çÎàææ ×ð´ v ßð» âð ¿ÜÌæ ãé¥æ 2m ÎýÃØ×æÙ
·¤æ °·¤ ·¤‡æ, ÅU·¤ÚUæÌæ ãñÐ ØçÎ Øã â´ƒæÅ÷UÅU (ÅU€·¤ÚU)
Âê‡æüÌÑ ¥ÂýˆØæSÍ ãñ Ìæð, ÅU€·¤ÚU ·ð¤ ÎæñÚUæÙ ª¤Áæü ·¤æ ÿæØ
(ãæçÙ) ãæð»è Ñ
(1) 50%
(2) 56%
(3) 62%
(4) 44%
79. In the given circuit, charge Q2 on the 2mF
capacitor changes as C is varied from 1mF
to 3mF. Q2 as a function of ‘C’ is given
properly by : (figures are drawn schematically
and are not to scale)
(1)
(2)
(3)
(4)
80. A particle of mass m moving in the
x direction with speed 2v is hit by another
particle of mass 2m moving in the
y direction with speed v. If the collision is
perfectly inelastic, the percentage loss in
the energy during the collision is close to :
(1) 50%
(2) 56%
(3) 62%
(4) 44%

33. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 33
81. ·¤æ¡¿ ·ð¤ ç·¤âè çÂý’× ·¤æ ·¤æð‡æ ‘A’ ãñÐ §â ÂÚU
°·¤ß‡æèü Âý·¤æàæ ¥æÂçÌÌ ãæðÌæ ãñÐ ØçÎ, çÂý’× ·ð¤
ÂÎæÍü ·¤æ ¥ÂßÌüÙæ´·¤ m ãñ Ìæð, çÂý’× ·ð¤ AB Ȥܷ¤
ÂÚU, u ·¤æð‡æ ¥æÂçÌÌ Âý·¤æàæ ·¤è ç·¤ÚU‡æ, çÂý’× ·ð¤
Ȥܷ¤ AC âð ÂæÚU»Ì ãæð»è ØçÎ Ñ
(1) 1 1 1
< sin sin A sin
   
   
    
2 2
u m 2
m
(2) 1 1 1
> cos sin A sin
   
   
    
2 2
u m 1
m
(3) 1 1 1
< cos sin A sin
   
   
    
2 2
u m 1
m
(4) 1 1 1
> sin sin A sin
   
   
    
2 2
u m 2
m
82. ç·¤âè ÆUæðâ »æðÜð ·¤æ ÎýÃØ×æÙ M ÌÍæ §â·¤è ç˜æ’Øæ
R ãñÐ §â×ð´ âð ¥çÏ·¤Ì× â´Öß ¥æØÌÙ ·¤æ °·¤
€ØêÕ (ƒæÙ) ·¤æÅU çÜØæ ÁæÌæ ãñÐ §â €ØêÕ ·¤æ
ÁǸˆß ¥æƒæê‡æü ç·¤ÌÙæ ãæð»æ, ØçÎ, §â·¤è ƒæê‡æüÙ-¥ÿæ,
§â·ð¤ ·ð¤‹Îý âð ãæð·¤ÚU »é$ÁÚUÌè ãñ ÌÍæ §â·ð¤ ç·¤âè °·¤
Ȥܷ¤ ·ð¤ ܐÕßÌ÷U ãñ?
(1)
2
MR
16 2p
(2)
2
4MR
9 3p
(3)
2
4MR
3 3p
(4)
2
MR
32 2p
81. Monochromatic light is incident on a glass
prism of angle A. If the refractive index of
the material of the prism is m, a ray,
incident at an angle u, on the face AB
would get transmitted through the face AC
of the prism provided :
(1) 1 1 1
< sin sin A sin
   
   
    
2 2
u m 2
m
(2) 1 1 1
> cos sin A sin
   
   
    
2 2
u m 1
m
(3) 1 1 1
< cos sin A sin
   
   
    
2 2
u m 1
m
(4) 1 1 1
> sin sin A sin
   
   
    
2 2
u m 2
m
82. From a solid sphere of mass M and radius
R a cube of maximum possible volume is
cut. Moment of inertia of cube about an
axis passing through its center and
perpendicular to one of its faces is :
(1)
2
MR
16 2p
(2)
2
4MR
9 3p
(3)
2
4MR
3 3p
(4)
2
MR
32 2p

34. B/Page 34 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
83. âê¿è- I (×êÜ ÂýØæð») ·¤æ âê¿è - II (©â·ð¤ ÂçÚU‡ææ×)
·ð¤ âæÍ âé×ðÜÙ (×ñ¿) ·¤èçÁØð ¥æñÚU çِÙæ´ç·¤Ì
çß·¤ËÂæð´ ×ð´ âð âãè çß·¤Ë ·¤æ ¿ØÙ ·¤èçÁØð Ñ
ÇÏ¤Í - I ÇÏ¤Í - II
(A) ­âÕ™‰œ‰ ȪÜáÇ §â½ËÕ (i)
§âœ‰ËÅË œ‰Í œ‰ÌøËœ‰Ë
§âœÐ‰Ì±
(B) §âœ‰ËÅË ÌÄlα §â½ËÕ (ii)
ŠøËÎ œÕ‰ ÌÄÌÄþ±
‰¦Ëá S±¿U
(C) ¬ÕUÄÍǾ ¦¼á¿U §â½ËÕ (iii)
ŒÁÕþªãUË×¾ œ‰Í ±¿™U
§âœÐ‰Ì±
(iv) §¿U¼ËøËÎ œ‰Í Ç™¿U¤¾Ë
(1) (A) - (ii) (B) - (iv) (C) - (iii)
(2) (A) - (ii) (B) - (i) (C) - (iii)
(3) (A) -(iv) (B) - (iii) (C)- (ii)
(4) (A) - (i) (B) - (iv) (C) - (iii)
84. 0.1 m Ü´Õð ç·¤âè ÌæÚU ·ð¤ çâÚUæð´ ·ð¤ Õè¿ 5V çßÖßæ´ÌÚUU
¥æÚUæðçÂÌ ·¤ÚUÙð âð §Üð€ÅþUæòÙæð´ ·¤è ¥Âßæã ¿æÜ
2.531024 ms21 ãæðÌè ãñÐ ØçÎ §â ÌæÚU ×ð´ §Üð€ÅþUæòÙ
ƒæÙˆß 831028 m23 ãæð Ìæð, §â ·ð¤ ÂÎæÍü ·¤è
ÂýçÌÚUæðÏ·¤Ìæ ãæð»è, ֻܻ Ñ
(1) 1.631027 Vm
(2) 1.631026 Vm
(3) 1.631025 Vm
(4) 1.631028 Vm
83. Match List - I (Fundamental Experiment)
with List - II (its conclusion) and select
the correct option from the choices given
below the list :
List - I List - II
(A)
Franck-Hertz
Experiment.
(i)
Particle nature
of light
(B)
Photo-electric
experiment.
(ii)
Discrete energy
levels of atom
(C)
Davison - Germer
Experiment.
(iii)
Wave nature of
electron
(iv)
Structure of
atom
(1) (A) - (ii) (B) - (iv) (C) - (iii)
(2) (A) - (ii) (B) - (i) (C) - (iii)
(3) (A) -(iv) (B) - (iii) (C) - (ii)
(4) (A) - (i) (B) - (iv) (C) - (iii)
84. When 5V potential difference is applied
across a wire of length 0.1 m, the drift
speed of electrons is 2.531024 ms21. If
the electron density in the wire is
831028 m23, the resistivity of the material
is close to :
(1) 1.631027 Vm
(2) 1.631026 Vm
(3) 1.631025 Vm
(4) 1.631028 Vm

35. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 35
85. ç·¤âè âÚUÜ ÜæðÜ·¤ ·ð¤ çÜØð, ©â·ð¤ çßSÍæÂÙ d ÌÍæ
©â·¤è »çÌÁ ª¤Áæü ·ð¤ Õè¿ ¥æñÚU çßSÍæÂÙ d ÌÍæ
©â·¤è çSÍçÌÁ ª¤Áæü ·ð¤ Õè¿ »ýæȤ ¹è´¿ð »Øð ãñ´Ð
çِÙæ´ç·¤Ì ×ð´ âð ·¤æñÙ âæ »ýæȤ (¥æÜð¹) âãè ãñ?
(Øãæ¡ »ýæȤ ·ð¤ßÜ ÃØßSÍæ ¥æÚðU¹ ãñ´ ¥æñÚU S·ð¤Ü ·ð¤
¥ÙéâæÚU Ùãè´ ãñ´)
(1)
(2)
(3)
(4)
85. For a simple pendulum, a graph is plotted
between its kinetic energy (KE) and
potential energy (PE) against its
displacement d. Which one of the
following represents these correctly ?
(graphs are schematic and not drawn to scale)
(1)
(2)
(3)
(4)

36. B/Page 36 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
86. ç·¤âè 240 m ª¡¤¿è ¿æðÅUè ·ð¤ °·¤ ç·¤ÙæÚðU âð, Îæð
ˆÍÚUæð´ ·¤æð °·¤âæÍ ª¤ÂÚU ·¤è ¥æðÚU Èð´¤·¤æ »Øæ ãñ, §Ù·¤è
ÂýæÚ´UçÖ·¤ ¿æÜ ·ý¤×àæÑ 10 m/s ÌÍæ 40 m/s ãñ, Ìæð,
çِÙæ´ç·¤Ì ×ð´ âð ·¤æñÙâæ »ýæȤ (¥æÜð¹) ÂãÜð ˆÍÚU
·ð¤ âæÂðÿæ ÎêâÚðU ˆÍÚU ·¤è çSÍçÌ ·ð¤ â×Ø çß¿ÚU‡æ
(ÂçÚUßÌüÙ) ·¤æð âßæüçÏ·¤ âãè ÎàææüÌæ ãñ?
(×æÙ ÜèçÁ° ç·¤, ˆÍÚU Á×èÙ âð ÅU·¤ÚUæÙð ·ð¤ Âà¿æÌ
ª¤ÂÚU ·¤è ¥æðÚU Ùãè´ ©ÀUÜÌð ãñ´ ÌÍæ ßæØé ·¤æ ÂýçÌÚUæðÏ
Ù»‡Ø ãñ, çÎØæ ãñ g510 m/s2)
(Øãæ¡ »ýæȤ ·ð¤ßÜ ÃØßSÍæ ¥æÚðU¹ ãñ´ ¥æñÚU S·ð¤Ü ·ð¤
¥ÙéâæÚU Ùãè´ ãñ´)
(1)
(2)
(3)
(4)
86. Two stones are thrown up simultaneously
from the edge of a cliff 240 m high with
initial speed of 10 m/s and 40 m/s
respectively. Which of the following graph
best represents the time variation of
relative position of the second stone with
respect to the first ?
(Assume stones do not rebound after
hitting the ground and neglect air
resistance, take g510 m/s2)
(The figures are schematic and not drawn to
scale)
(1)
(2)
(3)
(4)

37. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 37
87. °·¤ ÆUæðâ ç´ÇU (ßSÌé) ·¤è çSÍÚU ª¤c×æ ÏæçÚUÌæ
1 J/8C ãñÐ §â·¤æ𠪤c×·¤æð´ (ª¤c×æ Ö´ÇUæÚUæð´) ·ð¤ âÂ·ü¤
×ð´ ÚU¹·¤ÚU çِ٠Îæð Âý·¤æÚU âð »×ü ç·¤Øæ ÁæÌæ ãñ,
(i) ¥Ùé·ý¤ç×·¤ M¤Â âð 2 ª¤c×·¤æð´ ·ð¤ âÂ·ü¤ ×ð´
§â Âý·¤æÚU ÚU¹·¤ÚU ç·¤ ÂýˆØð·¤ ª¤c×·¤ â×æÙ
×æ˜ææ ×ð´ ª¤c×æ ÎðÌæ ãñ,
(ii) ¥Ùé·ý¤ç×·¤ M¤Â âð 8 ª¤c×·¤æð´ ·ð¤ âÂ·ü¤ ×ð´
§â Âý·¤æÚU ÚU¹·¤ÚU ç·¤ ÂýˆØð·¤ ª¤c×·¤ â×æÙ
×æ˜ææ ×ð´ ª¤c×æ ÎðÌæ ãñ,
ÎæðÙæð´ çSÍçÌØæð´ ×ð´ ç´ÇU ·¤æ ÂýæÚ´UçÖ·¤ Ìæ 1008C ÌÍæ
¥ç‹Ì× Ìæ 2008C ãñÐ Ìæð, §Ù Îæð çSÍçÌØæð´ ×ð´ ç´ÇU
·¤è °‹ÅþUæòÂè ×ð´ ÂçÚUßÌüÙ ãæð»æ, ·ý¤×àæÑ
(1) ln2, ln2
(2) ln2, 2ln2
(3) 2ln2, 8ln2
(4) ln2, 4ln2
88. ØçÎ ×æÙß Ùð˜æ ·¤è ÂéÌÜè ·¤è ç˜æ’Øæ 0.25 cm, ¥æñÚU
SÂcÅU âéçßÏæ ÁÙ·¤ Îð¹Ùð ·¤è ÎêÚUè 25 cm ãæð Ìæð,
500 nm ÌÚ´U»ÎñƒØü ·ð¤ Âý·¤æàæ ×ð´, Îæð ßSÌé¥æð´ ·ð¤ Õè¿
ç·¤ÌÙè ‹ØêÙÌ× ÎêÚUè Ì·¤ ×æÙß Ùð˜æ ©Ù ÎæðÙæð´ ·ð¤ Õè¿
çßÖðÎÙ ·¤ÚU â·ð¤»æ?
(1) 30 mm
(2) 100 mm
(3) 300 mm
(4) 1 mm
87. A solid body of constant heat capacity
1 J/8C is being heated by keeping it in
contact with reservoirs in two ways :
(i) Sequentially keeping in contact with
2 reservoirs such that each reservoir
supplies same amount of heat.
(ii) Sequentially keeping in contact with
8 reservoirs such that each reservoir
supplies same amount of heat.
In both the cases body is brought from
initial temperature 1008C to final
temperature 2008C. Entropy change of the
body in the two cases respectively is :
(1) ln2, ln2
(2) ln2, 2ln2
(3) 2ln2, 8ln2
(4) ln2, 4ln2
88. Assuming human pupil to have a radius
of 0.25 cm and a comfortable viewing
distance of 25 cm, the minimum separation
between two objects that human eye can
resolve at 500 nm wavelength is :
(1) 30 mm
(2) 100 mm
(3) 300 mm
(4) 1 mm

38. B/Page 38 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
89.
Îæð ÂÌÜð ܐÕð ÌæÚUæð´ ×ð´ ÂýˆØð·¤ âð I ÏæÚUæ ÂýßæçãÌ ãæð ÚUãè
ãñÐ §‹ãð´ L ܐÕæ§ü ·ð¤ çßléÌÚUæðÏè Ïæ»æð´ âð ÜÅU·¤æØæ
»Øæ ãñÐ §Ù Ïæ»æð´ ×ð´ ÂýˆØð·¤ ·ð¤ mæÚUæ ª¤ŠßæüÏÚU çÎàææ âð
‘u’ ·¤æð‡æ ÕÙæÙð ·¤è çSÍçÌ ×ð´, Øð ÎæðÙæð´ ÌæÚU âæØæßSÍæ
×ð´ ÚUãÌð ãñ´Ð ØçÎ §Ù ÌæÚUæð´ ·¤è ÂýçÌ §·¤æ§ü ܐÕæ§ü
ÎýÃØ×æÙ l ãñ ÌÍæ g »éL¤ˆßèØ ˆßÚU‡æ ãñ Ìæð, I ·¤æ ×æÙ
ãæð»æ Ñ
(1)
0
gL
2sin
cos
pl
u
m u
(2)
0
gL
2 tan
p
u
m
(3)
0
gL
tan
pl
u
m
(4)
0
gL
sin
cos
pl
u
m u
90. »ýèc× «¤Ìé ·¤è »×ü ÚUæç˜æ ×ð´, Öê-ÌÜ ·ð¤ çÙ·¤ÅU, ßæØé ·¤æ
¥ÂßÌüÙæ´·¤ ‹ØêÙÌ× ãæðÌæ ãñ ¥æñÚU Öê-ÌÜ â𠪡¤¿æ§ü ·ð¤
âæÍ ÕɸÌæ ÁæÌæ ãñÐ ØçÎ, ·¤æð§ü Âý·¤æàæ-ç·¤ÚU‡æ-´éÁ
ÿæñçÌÁ çÎàææ ×ð´ Áæ ÚUãæ ãæð Ìæð, ã槻ð‹â ·ð¤ çâhæ‹Ì âð
Øã ÂçÚU‡ææ× ÂýæŒÌ ãæðÌæ ãñ ç·¤, ¿ÜÌð ãé°
Âý·¤æàæ-ç·¤ÚU‡æ ´éÁ Ñ
(1) çÕÙæ çßÿæðçÂÌ ãé°, ÿæñçÌÁ çÎàææ ×ð´ ¿ÜÌæ
ÚUãð»æÐ
(2) Ùè¿ð ·¤è ¥æðÚU Ûæé·¤ ÁæØð»æÐ
(3) ª¤ÂÚU ·¤è ¥æðÚU Ûæé·¤ ÁæØð»æÐ
(4) â´·é¤ç¿Ì (â´·¤è‡æü) ãæð ÁæØð»æÐ
- o 0 o -
89.
Two long current carrying thin wires, both
with current I, are held by insulating
threads of length L and are in equilibrium
as shown in the figure, with threads
making an angle ‘u’ with the vertical. If
wires have mass l per unit length then the
value of I is :
(g5gravitational acceleration)
(1)
0
gL
2sin
cos
pl
u
m u
(2)
0
gL
2 tan
p
u
m
(3)
0
gL
tan
pl
u
m
(4)
0
gL
sin
cos
pl
u
m u
90. On a hot summer night, the refractive
index of air is smallest near the ground and
increases with height from the ground.
When a light beam is directed horizontally,
the Huygens’ principle leads us to conclude
that as it travels, the light beam :
(1) goes horizontally without any
deflection
(2) bends downwards
(3) bends upwards
(4) becomes narrower
- o 0 o -

39. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãB/Page 39
SPACE FOR ROUGH WORK / ÚȤ ·¤æØü ·ð¤ çÜ° Á»ã

40. Read the following instructions carefully :
1. The candidates should fill in the required particulars
on the Test Booklet and Answer Sheet (Side–1) with
Blue/Black Ball Point Pen.
2. For writing/marking particulars on Side–2 of the
Answer Sheet, use Blue/Black Ball Point Pen only.
3. The candidates should not write their Roll Numbers
anywhere else (except in the specified space) on the
Test Booklet/Answer Sheet.
4. Out of the four options given for each question, only
one option is the correct answer.
5. For each incorrect response, one–fourth (¼) of the total
marks allotted to the question would be deducted from
the total score. No deduction from the total score,
however, will be made if no response is indicated for
an item in the Answer Sheet.
6. Handle the Test Booklet and Answer Sheet with care,
as under no circumstances (except for discrepancy in
Test Booklet Code and Answer Sheet Code), another set
will be provided.
7. The candidates are not allowed to do any rough work
or writing work on the Answer Sheet. All calculations/
writing work are to be done in the space provided for
this purpose in the Test Booklet itself, marked ‘Space
for Rough Work’. This space is given at the bottom of
each page and in one page (i.e. Page 39) at the end of
the booklet.
8. On completion of the test, the candidates must hand
over the Answer Sheet to the Invigilator on duty in the
Room/Hall. However, the candidates are allowed to
take away this Test Booklet with them.
9. Each candidate must show on demand his/her Admit
Card to the Invigilator.
10. No candidate, without special permission of the
Superintendent or Invigilator, should leave his/her
seat.
11. The candidates should not leave the Examination Hall
without handing over their Answer Sheet to the
Invigilator on duty and sign the Attendance Sheet
again. Cases where a candidate has not signed the
Attendance Sheet second time will be deemed not to
have handed over the Answer Sheet and dealt with as
an unfair means case. The candidates are also required
to put their left hand THUMB impression in the space
provided in the Attendance Sheet.
12. Use of Electronic/Manual Calculator and any
Electronic device like mobile phone, pager etc. is
prohibited.
13. The candidates are governed by all Rules and
Regulations of the JAB/Board with regard to their
conduct in the Examination Hall. All cases of unfair
means will be dealt with as per Rules and Regulations
of the JAB/Board.
14. No part of the Test Booklet and Answer Sheet shall be
detached under any circumstances.
15. Candidates are not allowed to carry any textual
material, printed or written, bits of papers, pager,
mobile phone, electronic device or any other material
except the Admit Card inside the examination
room/hall.
çِÙçÜç¹Ì çÙÎðüàæ ŠØæÙ âð Âɸð´ Ñ
1. ÂÚUèÿææçÍüØæð´ ·¤æð ÂÚUèÿææ ÂéçSÌ·¤æ ¥æñÚU ©žæÚU ˜æ (ÂëD -1) ÂÚU ßæ´çÀUÌ
çßßÚU‡æ ÙèÜð/·¤æÜð ÕæòÜ Œß槴ÅU ÂðÙ âð ãè ÖÚUÙæ ãñÐ
2. ©žæÚU Â˜æ ·ð¤ ÂëD-2 ÂÚU çßßÚU‡æ çܹÙð/¥´ç·¤Ì ·¤ÚUÙð ·ð¤ çÜ° ·ð¤ßÜ
ÙèÜð/·¤æÜð ÕæòÜ Œß槴ÅU ÂðÙ ·¤æ ÂýØæð» ·¤Úð´UÐ
3. ÂÚUèÿææ ÂéçSÌ·¤æ/©žæÚU ˜æ ÂÚU çÙÏæüçÚUÌ SÍæÙ ·ð¤ ¥Üæßæ ÂÚUèÿææÍèü
¥ÂÙæ ¥ÙéR¤×æ´·¤ ¥‹Ø ·¤ãè´ Ùãè´ çܹð´Ð
4. ÂýˆØð·¤ ÂýàÙ ·ð¤ çÜØð çÎØð »Øð ¿æÚU çß·¤ËÂæð´ ×ð´ âð ·ð¤ßÜ °·¤ çß·¤ËÂ
âãè ãñÐ
5. ÂýˆØð·¤ »ÜÌ ©žæÚU ·ð¤ çÜ° ©â ÂýàÙ ·ð¤ çÜ° çÙÏæüçÚUÌ ·é¤Ü ¥´·¤æð´
×ð´ âð °·¤-¿æñÍæ§ü (¼) ¥´·¤ ·é¤Ü Øæð» ×ð´ âð ·¤æÅU çÜ° Áæ°¡»ðÐ
ØçÎ ©žæÚU ˜æ ×ð´ ç·¤âè ÂýàÙ ·¤æ ·¤æð§ü ©žæÚU Ùãè´ çÎØæ »Øæ ãñ, Ìæð
·é¤Ü Øæð» ×ð´ âð ·¤æð§ü ¥´·¤ Ùãè´ ·¤æÅðU Áæ°¡»ðÐ
6. ÂÚUèÿææ ÂéçSÌ·¤æ °ß´ ©žæÚU Â˜æ ·¤æ ŠØæÙÂêßü·¤ ÂýØæð» ·¤Úð´U €Øæð´ç·¤
ç·¤âè Öè ÂçÚUçSÍçÌ ×ð´ (·ð¤ßÜ ÂÚUèÿææ ÂéçSÌ·¤æ °ß´ ©žæÚU Â˜æ ·ð¤
â´·ð¤Ì ×ð´ çÖóæÌæ ·¤è çSÍçÌ ·¤æð ÀUæðǸ·¤ÚU), ÎêâÚUè ÂÚUèÿææ ÂéçSÌ·¤æ
©ÂÜŽÏ Ùãè´ ·¤ÚUæØè Áæ°»èÐ
7. ©žæÚU ˜æ ÂÚU ·¤æð§ü Öè ÚUȤ ·¤æØü Øæ çܹæ§ü ·¤æ ·¤æ× ·¤ÚUÙð ·¤è
¥Ùé×çÌ Ùãè´ ãñÐ âÖè »‡æÙæ °ß´ çܹæ§ü ·¤æ ·¤æ×, ÂÚUèÿææ ÂéçSÌ·¤æ
×ð´ çÙÏæüçÚUÌ Á»ã Áæð ç·¤ ÒÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãÓ mæÚUæ Ùæ×æ´ç·¤Ì
ãñ, ÂÚU ãè ç·¤Øæ Áæ°»æÐ Øã Á»ã ÂýˆØð·¤ ÂëD ÂÚU Ùè¿ð ·¤è ¥æðÚU ¥æñÚU
ÂéçSÌ·¤æ ·ð¤ ¥´Ì ×ð´ °·¤ ÂëD ÂÚU (ÂëD 39) Îè »§ü ãñÐ
8. ÂÚèÿææ âÂóæ ãæðÙð ÂÚU, ÂÚUèÿææÍèü ·¤ÿæ/ãæòÜ ÀUæðǸÙð âð Âêßü ©žæÚU ˜æ
·¤ÿæ çÙÚUèÿæ·¤ ·¤æð ¥ßàØ âæñ´Â Îð´Ð ÂÚUèÿææÍèü ¥ÂÙð âæÍ §â
ÂÚUèÿææ ÂéçSÌ·¤æ ·¤æð Üð Áæ â·¤Ìð ãñ´Ð
9. ×æ´»ð ÁæÙð ÂÚU ÂýˆØð·¤ ÂÚUèÿææÍèü çÙÚUèÿæ·¤ ·¤æð ¥ÂÙæ Âýßðàæ ·¤æÇü çι氡Ð
10. ¥Ïèÿæ·¤ Øæ çÙÚUèÿæ·¤ ·¤è çßàæðá ¥Ùé×çÌ ·ð¤ çÕÙæ ·¤æð§ü ÂÚUèÿææÍèü
¥ÂÙæ SÍæÙ Ù ÀUæðǸð´Ð
11. ·¤æØüÚUÌ çÙÚUèÿæ·¤ ·¤æð ¥ÂÙæ ©žæÚU ˜æ çΰ çÕÙæ °ß´ ©ÂçSÍçÌ Â˜æ
ÂÚU ÎéÕæÚUæ ãSÌæÿæÚU ç·¤° çÕÙæ ·¤æð§ü ÂÚUèÿææÍèü ÂÚUèÿææ ãæòÜ Ùãè´ ÀUæðǸð´»ðÐ
ØçÎ ç·¤âè ÂÚUèÿææÍèü Ùð ÎêâÚUè ÕæÚU ©ÂçSÍçÌ Â˜æ ÂÚU ãSÌæÿæÚU Ùãè´
ç·¤° Ìæð Øã ×æÙæ Áæ°»æ ç·¤ ©âÙð ©žæÚU ˜æ Ùãè´ ÜæñÅUæØæ ãñ çÁâð
¥Ùéç¿Ì âæÏÙ ÂýØæð» Ÿæð‡æè ×ð´ ×æÙæ Áæ°»æÐ ÂÚUèÿææÍèü ¥ÂÙð ÕæØð´
ãæÍ ·ð¤ ¥´»êÆðU ·¤æ çÙàææÙ ©ÂçSÍçÌ Â˜æ ×ð´ çΰ »° SÍæÙ ÂÚU
¥ßàØ Ü»æ°¡Ð
12. §Üð€ÅþUæòçÙ·¤/ãSÌ¿æçÜÌ ÂçÚU·¤Ü·¤ °ß´ ×æðÕæ§Ü ȤæðÙ, ÂðÁÚU §ˆØæçÎ
Áñâð ç·¤âè §Üð€ÅþUæòçÙ·¤ ©Â·¤ÚU‡æ ·¤æ ÂýØæð» ßçÁüÌ ãñÐ
13. ÂÚUèÿææ ãæòÜ ×ð´ ¥æ¿ÚU‡æ ·ð¤ çÜ° ÂÚUèÿææÍèü Á.°.Õ./ÕæðÇüU ·ð¤ âÖè
çÙØ×æð´ °ß´U çßçÙØ×æð´ mæÚUæ çÙØç×Ì ãæð´»ðÐ ¥Ùéç¿Ì âæÏÙ ÂýØæð» ·ð¤
âÖè ×æ×Üæð´ ·¤æ Èñ¤âÜæ Á.°.Õ./ÕæðÇüU ·ð¤ çÙØ×æð´ °ß´ çßçÙØ×æð´ ·ð¤
¥ÙéâæÚU ãæð»æÐ
14. ç·¤âè Öè çSÍçÌ ×ð´ ÂÚUèÿææ ÂéçSÌ·¤æ ÌÍæ ©žæÚU Â˜æ ·¤æ ·¤æð§ü Öè Öæ»
¥Ü» Ùãè´ ç·¤Øæ Áæ°»æÐ
15. ÂÚUèÿææÍèü mæÚUæ ÂÚUèÿææ ·¤ÿæ/ãæòÜ ×ð´ Âýßðàæ ·¤æÇüU ·ð¤ ¥Üæßæ
ç·¤âè Öè Âý·¤æÚU ·¤è ÂæÆ÷UØ âæ×»ýè, ×éçÎýÌ Øæ ãSÌçÜç¹Ì,
·¤æ»Á ·¤è Âç¿üØæ¡, ÂðÁÚU, ×æðÕæ§Ü ȤæðÙ Øæ ç·¤âè Öè Âý·¤æÚU
·ð¤ §Üð€ÅþUæòçÙ·¤ ©Â·¤ÚU‡ææð´ Øæ ç·¤âè ¥‹Ø Âý·¤æÚU ·¤è âæ×»ýè
·¤æð Üð ÁæÙð Øæ ©ÂØæð» ·¤ÚUÙð ·¤è ¥Ùé×çÌ Ùãè´ ãñÐ
B/Page 40