This document contains instructions for a test booklet containing 90 questions divided into three parts - Chemistry, Mathematics, and Physics. The test is 3 hours long and the maximum marks are 360. Each question is worth 4 marks and there will be deductions for incorrect answers. Candidates are not allowed to carry any unauthorized materials into the examination hall. Rough work can be done in the spaces provided in the test booklet.

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
hall/room.
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 (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 F. Make sure that the CODE
printed on Side–2 of the Answer Sheet is 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 ×æ€âü 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 F 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 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
F
PAPER - 1 : CHEMISTRY, MATHEMATICS & PHYSICS
ÂýàÙÂéçSÌ·¤æ - 1 : ÚUâæØÙ çß™ææÙ, »ç‡æÌ ÌÍæ ÖæñçÌ·¤ çß™ææÙ
RST

2. F/Page 2 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
1. Consider separate solutions of 0.500 M
C2H5OH(aq), 0.100 M Mg3(PO4)2(aq),
0.250 M KBr(aq) and 0.125 M Na3PO4(aq)
at 258C. Which statement is true about
these solutions, assuming all salts to be
strong electrolytes ?
(1) 0.100 M Mg3(PO4)2(aq) has the
highest osmotic pressure.
(2) 0.125 M Na3PO4(aq) has the highest
osmotic pressure.
(3) 0.500 M C2H5OH(aq) has the
highest osmotic pressure.
(4) They all have the same osmotic
pressure.
2. Which one of the following bases is not
present in DNA ?
(1) Adenine
(2) Cytosine
(3) Thymine
(4) Quinoline
3. Considering the basic strength of amines
in aqueous solution, which one has the
smallest pKb value ?
(1) CH3NH2
(2) (CH3)3N
(3) C6H5NH2
(4) (CH3)2NH
1. 0.500 M C2H5OH(ÁÜèØ),
0.100 M Mg3(PO4)2(ÁÜèØ), 0.250 M
KBr(ÁÜèØ) ¥æñÚU 0.125 M Na3PO4(ÁÜèØ)
çßÜØÙæð´ ·¤æð 258C ÂÚU ŠØæÙ ÎèçÁØðÐ âÖè Ù×·¤æð´
·¤æð ÂýÕÜ §Üñ€ÅþUæðÜæ§ÅU ×æÙÌð ãé° çِ٠·¤ÍÙæð´ ×ð´ âð
·¤æñÙ-âæ ·¤ÍÙ ØÍæÍü ãñ?
(1) 0.100 M Mg3(PO4)2 (ÁÜèØ) ·¤æ
¥æâ×æçÅU·¤ ÎæÕ ©“æÌ× ãæð»æÐ
(2) 0.125 M Na3PO4 (ÁÜèØ) ·¤æ
¥æâ×æçÅU·¤ ÎæÕ ©“æÌ× ãæð»æÐ
(3) 0.500 M C2H5OH(ÁÜèØ) ·¤æ
¥æâ×æçÅU·¤ ÎæÕ ©“æÌ× ãæð»æÐ
(4) §Ù âÕ ·ð¤ çÜØð ¥æâ×æçÅU·¤ ÎæÕ ·ð¤ ×æÙ
â×æÙ ãæð»æÐ
2. çِ٠ÿææÚUæð´ ×ð´ âð ·¤æñÙ °·¤ DNA ×ð´ Ùãè´ ÂæØæ ÁæÌæ?
(1) °ðçÇUÙèÙ
(2) âæ§ÅUæðâèÙ
(3) Íæ§ü×èÙ
(4) ç€ßÙæðÜèÙ
3. ÁÜèØ çßÜØÙ ×ð´ °×èÙæð´ ·¤è ÿææÚUèØ Âýßëçžæ ·ð¤ ¥ÙéâæÚU
çِÙçÜç¹Ìæð´ ×ð´ âð ç·¤â·ð¤ çÜØð pKb ·¤æ ×æÙ ·¤×
âð ·¤× ãæð»æ?
(1) CH3NH2
(2) (CH3)3N
(3) C6H5NH2
(4) (CH3)2NH
PART A — CHEMISTRY Öæ» A — ÚUâæØÙ çß™ææÙ

3. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 3
4. The metal that cannot be obtained by
electrolysis of an aqueous solution of its
salts is :
(1) Ca
(2) Cu
(3) Cr
(4) Ag
5. On heating an aliphatic primary amine
with chloroform and ethanolic potassium
hydroxide, the organic compound formed
is :
(1) an alkanediol
(2) an alkyl cyanide
(3) an alkyl isocyanide
(4) an alkanol
6. For the reaction SO2(g)1
1
2
O2(g) ìSO3(g),
if KP5KC(RT)x where the symbols have
usual meaning then the value of x is :
(assuming ideality)
(1)
1
2
2
(2)
1
2
(3) 1
(4) 21
4. ÏæÌé Áæð ¥ÂÙð Ü߇ææð´ ·ð¤ ÁÜèØ çßÜØÙæð´ ·ð¤
§Üñ€ÅþUæÜðçââ (çßléÌ ¥ÂƒæÅUÙ) âð ÂýæŒÌ Ùãè´ ãæð
â·¤Ìè ãæðÌè ãñ Ñ
(1) Ca
(2) Cu
(3) Cr
(4) Ag
5. °ðçÜÈñ¤çÅU·¤ ÂýæØ×ÚUè °×èÙ ·¤æð €ÜæðÚUæðȤæ×ü ¥æñÚU
°ÍæÙæðçÜ·¤ ÂæðÅñUçàæØ× ãæ§ÇþUæ€âæ§ÇU ·ð¤ âæÍ »ÚU× ·¤ÚUÙð
ÂÚU ÕÙæ ¥æÚU»ñçÙ·¤ Øæñç»·¤ ãæðÌæ ãñ Ñ
(1) °·¤ °ðË·ð¤ÙÇUæØæðÜ
(2) °·¤ °ðçË·¤Ü çâØæÙæ§ÇU
(3) °·¤ °ðçË·¤Ü ¥æ§âæðçâØæÙæ§ÇU
(4) °·¤ °ðË·¤æÙæðÜ
6. ¥çÖç·ý¤Øæ, SO2(g)1
1
2
O2(g) ì SO3(g) ·ð¤ çÜ°
KP5KC(RT)x ãæð»æ ÁÕ·¤è âÕ âê¿·¤ ¥ÿæÚU âæ×æ‹Ø
¥Íü ÚU¹Ìð ãñ´ Ìæð ¥æÎàæüÚUM¤ÂÌæ ×æÙÌð ãé° x ·¤æ ×æÙ
ãæð»æ Ñ
(1)
1
2
2
(2)
1
2
(3) 1
(4) 21

4. F/Page 4 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
7. Given below are the half - cell reactions :
Mn2112e2® Mn ; Eo521.18 V
2(Mn311e2® Mn21) ; Eo511.51 V
The Eo for 3Mn21® Mn12Mn31 will be :
(1) 22.69 V ; the reaction will occur
(2) 20.33 V ; the reaction will not occur
(3) 20.33 V ; the reaction will occur
(4) 22.69 V ; the reaction will not occur
8. If Z is a compressibility factor,
van der Waals equation at low pressure
can be written as :
(1) Z512
a
VRT
(2) Z512
Pb
RT
(3) Z511
Pb
RT
(4) Z511
RT
Pb
9. In the reaction,
4 5LiAlH PCl Alc. KOH
3CH COOH A B C££££“ £££“ £££££“ ,
the product C is :
(1) Acetylene
(2) Ethylene
(3) Acetyl chloride
(4) Acetaldehyde
7. Ùè¿ð ·é¤ÀU ¥hü âðÜ ¥çÖç·ý¤Øæ°´ Îè »§ü ãñ´ Ñ
Mn2112e2® Mn ; Eo521.18 V
2(Mn311e2® Mn21) ; Eo511.51 V
3Mn21® Mn12Mn31 ·ð¤ çÜØð Eo ãæð»æ Ñ
(1) 22.69 V ; ¥çÖç·ý¤Øæ ãæð»èÐ
(2) 20.33 V ; ¥çÖç·ý¤Øæ Ùãè´ ãæð»èÐ
(3) 20.33 V ; ¥çÖç·ý¤Øæ ãæð»èÐ
(4) 22.69 V ; ¥çÖç·ý¤Øæ Ùãè´ ãæð»èÐ
8. ØçÎ Z â´ÂèǸ٠»é‡æ·¤ ãæð Ìæð ·¤× ÎæÕ ÂÚU ßæ´ÇUÚßæËâ
â×è·¤ÚU‡æ ·¤æð çܹæ Áæ â·¤Ìæ ãñ Ñ
(1) Z512
a
VRT
(2) Z512
Pb
RT
(3) Z511
Pb
RT
(4) Z511
RT
Pb
9. ¥çÖç·ý¤Øæ âðÅ,
4 5LiAlH PCl Alc. KOH
3CH COOH A B C££££“ £££“ £££££“
×ð´ ç·ý¤Øæ È¤Ü C ãæðÌæ ãñ Ñ
(1) °çâçÅUÜèÙ
(2) §Íæ§üÜèÙ
(3) °çâÅUæ§Ü €ÜæðÚUæ§ÇU
(4) °ðçâÅU°ðçËÇUãæ§ÇU

5. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 5
10. Among the following oxoacids, the correct
decreasing order of acid strength is :
(1) HClO4 > HOCl > HClO2 > HClO3
(2) HClO4 > HClO3 > HClO2 > HOCl
(3) HClO2 > HClO4 > HClO3 > HOCl
(4) HOCl > HClO2 > HClO3 > HClO4
11. The ratio of masses of oxygen and nitrogen
in a particular gaseous mixture is 1 : 4. The
ratio of number of their molecule is :
(1) 7 : 32
(2) 1 : 8
(3) 3 : 16
(4) 1 : 4
12. Which one of the following properties is
not shown by NO ?
(1) It is a neutral oxide
(2) It combines with oxygen to form
nitrogen dioxide
(3) It’s bond order is 2.5
(4) It is diamagnetic in gaseous state
13. Which series of reactions correctly
represents chemical relations related to
iron and its compound ?
(1) 2 2 4O , heat dil H SO
Fe FeO££££“ £££££“
heat
4FeSO Fe£££“
(2) 2Cl , heat heat, air
3Fe FeCl£££££“ ££££“
Zn
2FeCl Fe££“
(3) 2O , heat CO, 600 C
3 4Fe Fe O££££“ £££££“
8
CO, 700 C
FeO Fe£££££“
8
(4) 2 4 2 4 2dil H SO H SO , O
4Fe FeSO£££££“ £££££“
heat
2 4 3Fe (SO ) Fe£££“
10. çِ٠¥æ€âæ𠥐Üæð´ ·ð¤ çÜØð ¥Ü àæç€Ì ·¤æ ØÍæÍü
ƒæÅUÌæ ·ý¤× ãæð»æ Ñ
(1) HClO4 > HOCl > HClO2 > HClO3
(2) HClO4 > HClO3 > HClO2 > HOCl
(3) HClO2 > HClO4 > HClO3 > HOCl
(4) HOCl > HClO2 > HClO3 > HClO4
11. °·¤ çßàæðá »ñâèØ çןæ‡æ ×ð´ ¥æò€âèÁÙ ¥æñÚU Ùæ§ÅþUæðÁÙ
·ð¤ ÎýÃØ×æÙæð´ ·¤æ ¥ÙéÂæÌ 1 : 4 ãñÐ §â çןæ‡æ ×ð´
§Ù·¤è ¥‡æé ⴁØæ¥æð´ ·¤æ ¥ÙéÂæÌ ãæð»æ Ñ
(1) 7 : 32
(2) 1 : 8
(3) 3 : 16
(4) 1 : 4
12. NO ·¤æñÙ-âæ çِ٠»é‡æ ÂýÎçàæüÌ Ùãè´ ·¤ÚUÌæ ãñ?
(1) Øã °·¤ ©ÎæâèÙ ¥æò€âæ§ÇU ãñÐ
(2) Øã ¥æò€âèÁÙ âð Øæð» ·¤ÚU Ùæ§ÅþUæðÁÙ ÇUæ§ü¥æò€âæ§ÇU
ÕÙæÌæ ãñÐ
(3) §â·¤è Õ‹Ï ·¤æðçÅU 2.5 ãñÐ
(4) »ñâèØ ¥ßSÍæ ×ð´ ÂýçÌ¿éÕ·¤èØ ãñÐ
13. §Ù×ð´ âð ¥çÖç·ý¤Øæ¥æð´ ·¤æ ·¤æñÙ-âæ ·ý¤× ØÍæÍü M¤Â ×ð´
Üæðãð ¥æñÚU §â·ð¤ Øæñç»·¤æð´ ·¤è ÚUæâæØçÙ·¤ ¥çÖç·ý¤Øæ¥æð´
·¤æð çÙM¤çÂÌ ·¤ÚUÌæ ãñ?
(1) 2 2 4O , H SO
Fe FeO££££“ £££££“
±Ë§ ±¾Î
4FeSO Fe£££“
±Ë§
(2) 2Cl ,
3Fe FeCl££££“ ££££“
±Ë§ ±Ë§, Ä˽Î
Zn
2FeCl Fe££“
(3) 2O , CO, 600 C
3 4Fe Fe O££££“ £££££“
8±Ë§
CO, 700 C
FeO Fe£££££“
8
(4) 2 4 2 4 2H SO H SO , O
4Fe FeSO£££££“ £££££“
±¾Î
2 4 3Fe (SO ) Fe£££“
±Ë§

6. F/Page 6 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
14. For which of the following molecule
significant m¹0 ?
(a) (b)
(c) (d)
(1) (a) and (b)
(2) Only (c)
(3) (c) and (d)
(4) Only (a)
15. CsCl crystallises in body centred cubic
lattice. If ‘a’ is its edge length then which
of the following expressions is correct ?
(1) Cs Cl
3a
r r
2
1 21 5
(2) Cs Cl
3
r r a
2
1 21 5
(3) Cs Cl
r r 3a1 21 5
(4) Cs Cl
r r 3a1 21 5
16. Which one is classified as a condensation
polymer ?
(1) Neoprene
(2) Teflon
(3) Acrylonitrile
(4) Dacron
14. çِ٠×ð´ âð 緤⠥‡æé ·ð¤ çÜØð ÕãéÌ âè×æ Ì·¤ m¹0
ãæð»æ?
(a) (b)
(c) (d)
(1) (a) ¥æñÚU (b)
(2) ·ð¤ßÜ (c)
(3) (c) ¥æñÚU (d)
(4) ·ð¤ßÜ (a)
15. CsCl ·¤æØ ·ð¤ç‹ÎýÌ ƒæÙæ·¤ÚU ÁæÜ·¤ ×ð´ ç·ý¤SÅUçÜÌ
ãæðÌæ ãñÐ ØçÎ ç·¤ÙæÚðU ·¤è ܐÕæ§ü ‘a’ ãæð Ìæð çِ٠âê˜ææð´
×ð´ âð ·¤æñÙ-âæ ÆUè·¤ ãæð»æ?
(1) Cs Cl
3a
r r
2
1 21 5
(2) Cs Cl
3
r r a
2
1 21 5
(3) Cs Cl
r r 3a1 21 5
(4) Cs Cl
r r 3a1 21 5
16. §Ù×ð´ âð 緤ⷤæð ·¤‹ÇñU‹âðàæÙ ÕãéÜ·¤ ×æÙæ ÁæØð»æ?
(1) çÙØæðçÂýÙ
(2) ÅñU$ȤÜæÙ
(3) °ðç·ý¤ÜæðÙæ§ÅþUæ§Ü
(4) ÇñU·¤ÚUæÙ

7. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 7
17. For the estimation of nitrogen, 1.4 g of an
organic compound was digested by
Kjeldahl method and the evolved ammonia
was absorbed in 60 mL of
M
10
sulphuric
acid. The unreacted acid required 20 mL
of
M
10
sodium hydroxide for complete
neutralization. The percentage of nitrogen
in the compound is :
(1) 10%
(2) 3%
(3) 5%
(4) 6%
18. For complete combustion of ethanol,
C2H5OH(l)13O2(g) ® 2CO2(g)13H2O(l),
the amount of heat produced as measured
in bomb calorimeter, is 1364.47 kJ mol21
at 258C. Assuming ideality the Enthalpy
of combustion, DcH, for the reaction will
be :
(R58.314 kJ mol21)
(1) 21361.95 kJ mol21
(2) 21460.50 kJ mol21
(3) 21350.50 kJ mol21
(4) 21366.95 kJ mol21
17. Ùæ§ÅþUæðÁÙ ·ð¤ ¥æ·¤ÜÙ ·ð¤ çÜ° 1.4 »ýæ. ·¤æÕüçÙ·¤
Øæñç»·¤ ÁðËÇUæòÜ çßçÏ ·ð¤ ¥ÙéâæÚU ¥Âç¿Ì ç·¤Øæ »Øæ
ÌÍæ ×é€Ì ãé° ¥×æðçÙØæ ·¤æð 60 ç×Üè
M
10
âˍØêçÚU·¤
¥Ü ×ð´ ¥ßàææðçáÌ ç·¤Øæ »ØæÐ ¥çÏàæðá ¥Ü ·ð¤
Âê‡æü ©ÎæâèÙè·¤ÚU‡æ ·ð¤ çÜ° 20 ç×Üè
M
10
âæðçÇUØ×
ãæ§ÇþUæò€âæ§ÇU ·¤è ¥æßàØ·¤Ìæ ãé§üÐ Øæñç»·¤ ×ð´ Ùæ§ÅþUæðÁÙ
·¤è ÂýçÌàæÌÌæ ãñ Ñ
(1) 10%
(2) 3%
(3) 5%
(4) 6%
18. °ÍðÙæòÜ ·ð¤ Âê‡æü ’ßÜÙ ·ð¤ çÜØð,
C2H5OH(l)13O2(g) ® 2CO2(g)13H2O(l),
Õ× ·ð¤ÜæðÚUè×èÅUÚU ×ð´ ×æçÂÌ ª¤Áæü 258C ÂÚU
1364.47 kJ mol21 ãñÐ ¥æÎàæüÌæ ×æÙÌð ãé° ’ßÜÙ
·¤è °‹ÍñËÂè, DcH, ãæð»è Ñ
(R58.314 kJ mol21)
(1) 21361.95 kJ mol21
(2) 21460.50 kJ mol21
(3) 21350.50 kJ mol21
(4) 21366.95 kJ mol21

8. F/Page 8 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
19. The octahedral complex of a metal ion
M31 with four monodentate ligands L1,
L2, L3 and L4 absorb wavelengths in the
region of red, green, yellow and blue,
respectively. The increasing order of ligand
strength of the four ligands is :
(1) L1 < L3 < L2 < L4
(2) L3 < L2 < L4 < L1
(3) L1 < L2< L4 < L3
(4) L4 < L3 < L2 < L1
20. The most suitable reagent for the
conversion of R2CH22OH® R2CHO
is :
(1) K2Cr2O7
(2) CrO3
(3) PCC (Pyridinium Chlorochromate)
(4) KMnO4
21. In which of the following reactions H2O2
acts as a reducing agent ?
(a) H2O21 2H112e2® 2H2O
(b) H2O222e2® O21 2H1
(c) H2O212e2® 2OH2
(d) H2O21 2OH222e2® O212H2O
(1) (c), (d)
(2) (a), (c)
(3) (b), (d)
(4) (a), (b)
19. M31 ÏæÌé ¥æØÙ ·¤æ ¿æÚU °·¤ ·¤Ç¸è çÜ»ñ´ÇUæ´ð,
L1, L2, L3 ¥æñÚU L4 ·ð¤ âæÍ ¥cÅU Ȥܷ¤èØ â´·¤ÚU
ÜæÜ, ãÚðU, ÂèÜð ¥æñÚU ÙèÜð SÍÜæð´ âð ÌÚ´U»ÎñƒØæðZ ·¤æ
·ý¤×æÙéâæÚU ¥ßàææðá‡æ ·¤ÚUÌæ ãñÐ ¿æÚU çÜ»ñ´ÇUæð´ ·¤è àæç€Ì
·¤æ ÕɸÌæ ·ý¤× ãñ Ñ
(1) L1 < L3 < L2 < L4
(2) L3 < L2 < L4 < L1
(3) L1 < L2< L4 < L3
(4) L4 < L3 < L2 < L1
20. R2CH22OH ® R2CHO ×ð´ ÕÎÜÙð ·¤æ âÕâð
¥çÏ·¤ ©ÂØé€Ì ¥çÖ·¤æÚU·¤ ãæðÌæ ãñ Ñ
(1) K2Cr2O7
(2) CrO3
(3) PCC (çÂçÚUÇUèçÙØ× €ÜæðÚUæð·ý¤æð×ðÅ)U
(4) KMnO4
21. çِ٠緤٠¥çÖç·ý¤Øæ¥æð´ ×ð´ H2O2 °·¤ ¥Â¿æØ·¤
·¤æ ·¤æ× ·¤ÚUÌæ ãñ?
(a) H2O21 2H112e2® 2H2O
(b) H2O222e2® O21 2H1
(c) H2O212e2® 2OH2
(d) H2O21 2OH222e2® O212H2O
(1) (c), (d)
(2) (a), (c)
(3) (b), (d)
(4) (a), (b)

9. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 9
22. The correct statement for the molecule,
CsI3, is :
(1) it contains Cs1 and 3I
2
ions.
(2) it contains Cs31 and I2 ions.
(3) it contains Cs1, I2 and lattice I2
molecule.
(4) it is a covalent molecule.
23. The major organic compound formed by
the reaction of 1, 1, 12 trichloroethane
with silver powder is :
(1) Ethene
(2) 2 - Butyne
(3) 2 - Butene
(4) Acetylene
24. The equivalent conductance of NaCl at
concentration C and at infinite dilution are
lC and l:, respectively. The correct
relationship between lC and l: is given
as :
(where the constant B is positive)
(1) lC5l:2(B)C
(2) lC5l:2(B) C
(3) lC5l:1(B) C
(4) lC5l:1(B)C
22. CsI3 ¥‡æé ·ð¤ çÜØð ØÍæÍü ·¤ÍÙ ãæð»æ Ñ
(1) §â×ð´ Cs1 ¥æñÚU 3I
2
¥æØÙ ãæðÌð ãñ´Ð
(2) §â×ð´ Cs31 ¥æñÚU I2 ¥æØÙ ãæðÌð ãñ´Ð
(3) §â×ð´ Cs1, I2 ¥æñÚU I2 ÁæÜ·¤ ãæðÌð ãñ´Ð
(4) Øã °·¤ âãâ´ØæðÁ·¤è ¥‡æé ãñÐ
23. 1, 1, 12 ÅþU槀ÜæðÚUæð§üÍðÙ ·¤æð çâËßÚU Âæ©ÇUÚU ·ð¤ âæÍ
ç·ý¤Øæ ·¤ÚUÙð ÂÚU âÕâð ÕǸè ×æ˜ææ ×ð´ ÕÙæ ¥æÚU»ñçÙ·¤
Øæñç»·¤ ãæðÌæ ãñ Ñ
(1) §üÍèÙ
(2) 2 - ŽØéÅUæ§Ù
(3) 2 - ŽØéÅUèÙ
(4) °çâçÅUÜèÙ
24. âæ‹Îý‡æ C ÂÚU ¥æñÚU ¥Ù‹Ì ÌÙéÌæ ÂÚU NaCl çßÜØÙ
·¤è §ç€ßßðÜñ‹ÅU ¿æÜ·¤Ìæ ·¤æð lC ¥æñÚU l: ×æÙÌð ãé°
©Ù·¤æ ¥æÂâè âÕ‹Ï çܹæ Áæ â·¤Ìæ ãñ Ñ
(B °·¤ çSÍÚU ¥´·¤ ãñ)
(1) lC5l:2(B)C
(2) lC5l:2(B) C
(3) lC5l:1(B) C
(4) lC5l:1(B)C

10. F/Page 10 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
25. Resistance of 0.2 M solution of an
electrolyte is 50 V. The specific
conductance of the solution is 1.4 S m21.
The resistance of 0.5 M solution of the same
electrolyte is 280 V. The molar
conductivity of 0.5 M solution of the
electrolyte in S m2 mol21 is :
(1) 531023
(2) 53103
(3) 53102
(4) 531024
26. Sodium phenoxide when heated with CO2
under pressure at 1258C yields a product
which on acetylation produces C.
The major product C would be :
(1)
(2)
(3)
(4)
25. °·¤ ßñléÌ ¥ÂƒæÅ÷UØ ×ð´ 0.2 M çßÜØÙ ·¤æ ÂýçÌÚUæðÏ
50 V ãñÐ §â çßÜØÙ ·¤æ çßçàæcÅU ¿æÜ·¤ˆß
1.4 S m21 ãñÐ §âè çßléÌ ¥ÂƒæÅ÷UØ ·ð¤ 0.5 M
çßÜØÙ ·¤æ ÂýçÌÚUæðÏ 280 V ãñÐ çßléÌ ¥ÂƒæÅ÷UØ ·ð¤
0.5 M çßÜØÙ ·¤è ×æðÜÚU ¿æÜ·¤Ìæ S m2 ×æðÜ21 ×ð´
ãæð»è Ñ
(1) 531023
(2) 53103
(3) 53102
(4) 531024
26. âæðçÇUØ× $Èñ¤Ùæ€âæ§ÇU ·¤è ©“æ ÎæÕ ¥æñÚU 1258C ÂÚU
CO2 âð ¥çÖç·ý¤Øæ ·¤ÚUÙð ÂÚU Áæð Øæñç»·¤ ÂýæŒÌ ãæðÌæ ãñ
©â·ð¤ °çâçÅUÜðàæÙ ÂÚU ç·ý¤Øæ È¤Ü C ãæðÌæ ãñÐ
ÕǸè ×æ˜ææ ×ð´ ç·ý¤Øæ È¤Ü C ãæð»æ Ñ
(1)
(2)
(3)
(4)

11. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 11
27. The equation which is balanced and
represents the correct product(s) is :
(1) [CoCl(NH3)5]115H1®Co21
15 4NH1
1Cl2
(2) [ M g ( H 2 O ) 6 ] 2 1 1 ( E D T A ) 4 2
excess NaOH
££££££“ [ M g ( E D T A ) ] 2 1
1 6H2O
(3) CuSO414KCN®K2[Cu(CN)4]
1K2SO4
(4) Li2O12KCl ® 2LiCl1K2O
28. The correct set of four quantum numbers
for the valence electrons of rubidium atom
(Z537) is :
(1) 5, 1, 0,
1
2
1
(2) 5, 1, 1,
1
2
1
(3) 5, 0, 1,
1
2
1
(4) 5, 0, 0,
1
2
1
27. â×è·¤ÚU‡æ Áæð â´ÌéçÜÌ ãñ ¥æñÚU ØÍæÍü ç·ý¤Øæ ȤÜæð´ ·¤è
âê¿·¤ ãñ, ãñ Ñ
(1) [CoCl(NH3)5]115H1®Co21
15 4NH1
1Cl2
(2) [ M g ( H 2 O ) 6 ] 2 1 1 ( E D T A ) 4 2
NaOH
£££££££“
œ‰Ë ŠËÌ´þ½
[Mg(EDTA)]21
1 6H2O
(3) CuSO414KCN®K2[Cu(CN)4]
1K2SO4
(4) Li2O12KCl ® 2LiCl1K2O
28. M¤çÕçÇUØ× ÂÚU×æ‡æé(Z537) ·ð¤ çÜØð ßðÜñ‹âè §Üñ€ÅþUæòÙæð´
·ð¤ ©ç¿Ì ¿æÚU €ßæ‹ÅU× ÙÕÚUæð´ ·¤æ âðÅU ãæðÌæ ãñ Ñ
(1) 5, 1, 0,
1
2
1
(2) 5, 1, 1,
1
2
1
(3) 5, 0, 1,
1
2
1
(4) 5, 0, 0,
1
2
1

12. F/Page 12 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
29. For the non - stoichiometre reaction
2A1B ® C1D, the following kinetic data
were obtained in three separate
experiments, all at 298 K.
Initial
Concentration
(A)
Initial
Concentration
(B)
Initial rate of
formation of C
(mol L2
S2
)
0.1 M 0.1 M 1.2 3 1023
0.1 M 0.2 M 1.2 3 1023
0.2 M 0.1 M 2.4 3 1023
The rate law for the formation of C is :
(1)
dc
dt
5k[A]2 [B]
(2)
dc
dt
5k[A] [B]2
(3)
dc
dt
5k[A]
(4)
dc
dt
5k[A] [B]
30. In SN2 reactions, the correct order of
reactivity for the following compounds :
CH3Cl, CH3CH2Cl, (CH3)2CHCl and
(CH3)3CCl is :
(1) CH3Cl > CH3CH2Cl > (CH3)2CHCl
> (CH3)3CCl
(2) CH3CH2Cl > CH3Cl > (CH3)2CHCl
> (CH3)3CCl
(3) (CH3)2CHCl > CH3CH2Cl > CH3Cl
> (CH3)3CCl
(4) CH3Cl > (CH3)2CHCl > CH3CH2Cl
> (CH3)3CCl
29. ÚUâæØçÙ·¤Ìæ çÚU€Ì ¥çÖç·ý¤Øæ 2A1B ® C1D ×ð´
ÌèÙ ÂëÍ·¤ ÂýØæð»æð´ ×ð´ 298 K ÂÚU çِ٠»çÌ·¤ ¥æ´·¤Ç¸ð
ÂýæŒÌ ç·¤Øð »Øð Ñ
§âË¿Ũ»œ‰
ÇË™³âøË (A)
§âË¿Ũ»œ‰
ÇË™³âøË (B)
C º¾¾Õ œ‰Í §âË¿Ũ»œ‰
³¿U (¼ËÕÁ L2
S2
)
0.1 M 0.1 M 1.2 3 1023
0.1 M 0.2 M 1.2 3 1023
0.2 M 0.1 M 2.4 3 1023
¥çÖç·ý¤Øæ ·ð¤ çÜØð C ÕÙÙð ·¤æ ÎÚU çÙØ× ãæð»æ Ñ
(1)
dc
dt
5k[A]2 [B]
(2)
dc
dt
5k[A] [B]2
(3)
dc
dt
5k[A]
(4)
dc
dt
5k[A] [B]
30. Øæñç»·¤æð´CH3Cl, CH3CH2Cl, (CH3)2CHCl ¥æñÚU
(CH3)3CCl ·¤æ SN2 ç·ý¤Øæ ×ð´ ç·ý¤Øæ ·¤ÚU‡æ ·¤æ
©ç¿Ì SÌÚU ·ý¤× ãæðÌæ ãñ Ñ
(1) CH3Cl > CH3CH2Cl > (CH3)2CHCl
> (CH3)3CCl
(2) CH3CH2Cl > CH3Cl > (CH3)2CHCl
> (CH3)3CCl
(3) (CH3)2CHCl > CH3CH2Cl > CH3Cl
> (CH3)3CCl
(4) CH3Cl > (CH3)2CHCl > CH3CH2Cl
> (CH3)3CCl

13. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 13
31.
2
20
sin ( cos )
x
x
lim
x
p
“
is equal to :
(1) p
(2)
2
p
(3) 1
(4) 2p
32. Let the population of rabbits surviving at
a time t be governed by the differential
equation
dp(t) 1
p(t)
dt 2
5 2200.
If p(0)5100, then p(t) equals :
(1) 4002300 e2t/2
(2) 4002300 et/2
(3) 3002200 e2t/2
(4) 6002500 et/2
33. The statement ~(p « ~q) is :
(1) a fallacy
(2) equivalent to p « q
(3) equivalent to ~p « q
(4) a tautology
31.
2
20
sin ( cos )
x
x
lim
x
p
“
·¤æ ×æÙ ãñ Ñ
(1) p
(2)
2
p
(3) 1
(4) 2p
32. ×æÙæ ç·¤âè â×Ø t ÂÚU ÁèçßÌ ¹ÚU»æðàææð´ ·¤è ÁÙⴁØæ
¥ß·¤Ü â×è·¤ÚU‡æ
dp(t) 1
p(t)
dt 2
5 2200 mæÚUæ
çÙØ´ç˜æÌ ãñ´Ð
ØçÎ p(0)5100 ãñ, Ìæð p(t) ÕÚUæÕÚU ãñ Ñ
(1) 4002300 e2t/2
(2) 4002300 et/2
(3) 3002200 e2t/2
(4) 6002500 et/2
33. ·¤ÍÙ ~(p « ~q) ãñ Ñ
(1) °·¤ ãðˆßæÖæâ (fallacy)
(2) p « q ·ð¤ ÌéËØ
(3) ~p « q ·ð¤ ÌéËØ
(4) °·¤ ÂéÙL¤ç€Ì (tautology)
PART B — MATHEMATICS Öæ» B — »ç‡æÌ

14. F/Page 14 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
34. Let a and b be the roots of equation
px21qx1r50, p¹0. If p, q, r are in A.P.
and
1 1
41 5
a b
, then the value of ?a2b?
is :
(1)
2 13
9
(2)
61
9
(3)
2 17
9
(4)
34
9
35. Let PS be the median of the triangle with
vertices P(2, 2), Q(6,21) and R(7, 3). The
equation of the line passing through
(1, 21) and parallel to PS is :
(1) 2x29y21150
(2) 4x27y21150
(3) 2x19y1750
(4) 4x17y1350
36. The area of the region described by
A5{(x, y) : x21y2 [ 1 and y2 [ 12x} is :
(1)
2
2 3
p
1
(2)
4
2 3
p
1
(3)
4
2 3
p
2
(4)
2
2 3
p
2
34. ×æÙæ a ÌÍæ b â×è·¤ÚU‡æ px21qx1r50, p¹0 ·ð¤
×êÜ ãñ´Ð ØçÎ p, q, r â×æ´ÌÚU Ÿæðɸè ×ð´ ãñ´ ÌÍæ
1 1
41 5
a b
ãñ, Ìæð ?a2b? ·¤æ ×æÙ ãñ Ñ
(1)
2 13
9
(2)
61
9
(3)
2 17
9
(4)
34
9
35. ×æÙæ PS °·¤ ç˜æÖéÁ ·¤è ×æçŠØ·¤æ ãñ çÁâ·ð¤ àæèáü
P(2, 2), Q(6,21) ÌÍæ R(7, 3) ãñ´Ð (1, 21) âð
ãæð·¤ÚU ÁæÙð ßæÜè ÚðU¹æ, Áæð PS ·ð¤ â×æ´ÌÚU ãñ, ·¤æ
â×è·¤ÚU‡æ ãñ Ñ
(1) 2x29y21150
(2) 4x27y21150
(3) 2x19y1750
(4) 4x17y1350
36. A5{(x, y) : x21y2 [ 1 ÌÍæ y2 [ 12x} ·ð¤
mæÚUæ ÂýΞæ ÿæð˜æ ·¤æ ÿæð˜æÈ¤Ü ãñ Ñ
(1)
2
2 3
p
1
(2)
4
2 3
p
1
(3)
4
2 3
p
2
(4)
2
2 3
p
2

15. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 15
37. If A is an 333 non - singular matrix such
that AA95A9A and B5A21 A9, then BB9
equals :
(1) (B21)9
(2) I1B
(3) I
(4) B21
38. The image of the line
31 4
3 1 5
yx z22 2
5 5
2
in the plane
2x2y1z1350 is the line :
(1)
53 2
3 1 5
yx z12 2
5 5
2 2
(2)
53 2
3 1 5
yx z21 2
5 5
2
(3)
53 2
3 1 5
yx z21 1
5 5
2 2
(4)
53 2
3 1 5
yx z12 2
5 5
2
39. If x521 and x52 are extreme points of
f(x)5a log ?x?1bx21x then :
(1) a52, b5
1
2
(2) a526, b5
1
2
(3) a526, b52
1
2
(4) a52, b52
1
2
37. ØçÎ A °·¤ °ðâæ 333 ÃØ鈷ý¤×‡æèØ ¥æÃØêã ãñ ç·¤
AA95A9A ÌÍæ B5A21 A9 ãñ, Ìæð BB9 ÕÚUæÕÚU
ãñ Ñ
(1) (B21)9
(2) I1B
(3) I
(4) B21
38. â×ÌÜ 2x2y1z1350 ×ð´ ÚðU¹æ
31 4
3 1 5
yx z22 2
5 5
2
·ð¤ ÂýçÌçÕ´Õ ßæÜè
ÚðU¹æ ãñ Ñ
(1)
53 2
3 1 5
yx z12 2
5 5
2 2
(2)
53 2
3 1 5
yx z21 2
5 5
2
(3)
53 2
3 1 5
yx z21 1
5 5
2 2
(4)
53 2
3 1 5
yx z12 2
5 5
2
39. ØçÎ x521 ÌÍæ x52,
f(x)5a log ?x?1bx21x ·ð¤ ¿ÚU×çÕ´Îé ãñ´, Ìæð Ñ
(1) a52, b5
1
2
(2) a526, b5
1
2
(3) a526, b52
1
2
(4) a52, b52
1
2

16. F/Page 16 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
40. If a e R and the equation
23(x2[x])212 (x2[x])1a250
(where [x] denotes the greatest integer
[ x) has no integral solution, then all
possible values of a lie in the interval :
(1) (2:, 22) È (2, :)
(2) (21, 0) È (0, 1)
(3) (1, 2)
(4) (22, 21)
41. Let C be the circle with centre at (1, 1) and
radius51. If T is the circle centred at
(0, y), passing through origin and touching
the circle C externally, then the radius of
T is equal to :
(1)
1
4
(2)
3
2
(3)
3
2
(4)
1
2
40. ØçÎ a e R ÌÍæ â×è·¤ÚU‡æ
23(x2[x])212 (x2[x])1a250
(Áãæ¡ [x] ©â ÕǸð âð ÕǸð Âê‡ææZ·¤ ·¤æð ÎàææüÌæ ãñ Áæð
[ x ãñ) ·¤æ ·¤æð§ü Âê‡ææZ·¤èØ ãÜ Ùãè´ ãñ, Ìæð a ·ð¤ âÖè
â´Öß ×æÙ çÁâ ¥´ÌÚUæÜ ×ð´ çSÍÌ ãñ´, ßã ãñ Ñ
(1) (2:, 22) È (2, :)
(2) (21, 0) È (0, 1)
(3) (1, 2)
(4) (22, 21)
41. ×æÙæ C °·¤ ßëžæ ãñ çÁâ·¤æ ·ð´¤Îý (1, 1) ÂÚU ãñ ÌÍæ
ç˜æ’Øæ51 ãñÐ ØçÎ T ·ð´¤Îý (0, y) ßæÜæ ßëžæ ãñ Áæð ×êÜ
çÕ´Îé âð ãæð ·¤ÚU ÁæÌæ ãñ ÌÍæ ßëžæ C ·¤æð Õæs M¤Â âð
SÂàæü ·¤ÚUÌæ ãñ, Ìæð T ·¤è ç˜æ’Øæ ÕÚUæÕÚU ãñ Ñ
(1)
1
4
(2)
3
2
(3)
3
2
(4)
1
2

17. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 17
42. If the coefficients of x3 and x4 in the
expansion of (11ax1bx2) (122x)18 in
powers of x are both zero, then (a, b) is
equal to :
(1)
272
16
3
,
Ë ÛÜÌ ÜÌ ÜÌÍ Ý
(2)
251
16
3
,
Ë ÛÜÌ ÜÌ ÜÌÍ Ý
(3)
251
14
3
,
Ë ÛÜÌ ÜÌ ÜÌÍ Ý
(4)
272
14
3
,
Ë ÛÜÌ ÜÌ ÜÌÍ Ý
43. If z is a complex number such that ?z?/2,
then the minimum value of
1
z
2
1 :
(1) is strictly greater than
3
2
but less
than
5
2
(2) is equal to
5
2
(3) lies in the interval (1, 2)
(4) is strictly greater than
5
2
42. ØçÎ (11ax1bx2) (122x)18 ·ð¤ x ·¤è ƒææÌæð´ ×ð´
ÂýâæÚU ×ð´ x3 ÌÍæ x4, ÎæðÙæ𴠷𤠻é‡ææ´·¤ àæê‹Ø ãñ´, Ìæð (a, b)
ÕÚUæÕÚU ãñ Ñ
(1)
272
16
3
,
Ë ÛÜÌ ÜÌ ÜÌÍ Ý
(2)
251
16
3
,
Ë ÛÜÌ ÜÌ ÜÌÍ Ý
(3)
251
14
3
,
Ë ÛÜÌ ÜÌ ÜÌÍ Ý
(4)
272
14
3
,
Ë ÛÜÌ ÜÌ ÜÌÍ Ý
43. ØçÎ z °·¤ °ðâè âç×Ÿæ ⴁØæ ãñ ç·¤ ?z?/2 ãñ, Ìæð
1
z
2
1 ·¤æ ‹ØêÙÌ× ×æÙ Ñ
(1)
3
2
âð çÙÚ´UÌÚU ÕǸæ ãñ ÂÚU‹Ìé
5
2
âð ·¤× ãñÐ
(2)
5
2
·ð¤ ÕÚUæÕÚU ãñÐ
(3) ¥´ÌÚUæÜ (1, 2) ×ð´ çSÍÌ ãñÐ
(4)
5
2
âð çÙÚ´UÌÚU ÕǸæ ãñÐ

18. F/Page 18 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
44. The integral
1
1
1 e d
x
xx x
x
Ë ÛÜÌ ÜÌ ÜÌÍ Ý×
1
1 2 is
equal to :
(1) 2x
1
e c
x
x
1
1
(2) (x21)
1
e c
x
x
1
1
(3) x
1
e c
x
x
1
1
(4) (x11)
1
e c
x
x
1
1
45. The slope of the line touching both the
parabolas y254x and x25232y is :
(1)
2
3
(2)
1
2
(3)
3
2
(4)
1
8
44. â×æ·¤Ü
1
1
1 e d
x
xx x
x
Ë ÛÜÌ ÜÌ ÜÌÍ Ý×
1
1 2 ÕÚUæÕÚU ãñ Ñ
(1) 2x
1
e c
x
x
1
1
(2) (x21)
1
e c
x
x
1
1
(3) x
1
e c
x
x
1
1
(4) (x11)
1
e c
x
x
1
1
45. ÂÚUßÜØæð´ y254x ÌÍæ x25232y ÎæðÙæð´ ·¤æð SÂàæü
·¤ÚUÙð ßæÜè ÚðU¹æ ·¤è Âý߇æÌæ ãñ Ñ
(1)
2
3
(2)
1
2
(3)
3
2
(4)
1
8

19. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 19
46. Let
k k
k
1
( ) (sin cos )
k
f x x x5 1 where
x e R and k/1. Then f4(x)2f6(x) equals :
(1)
1
12
(2)
1
6
(3)
1
3
(4)
1
4
47. A bird is sitting on the top of a vertical
pole 20 m high and its elevation from a
point O on the ground is 458. It flies off
horizontally straight away from the
point O. After one second, the elevation
of the bird from O is reduced to 308. Then
the speed (in m/s) of the bird is :
(1) ( )20 3 12
(2) ( )40 2 12
(3) ( )40 3 22
(4) 20 2
48. If
2
a b b c c a a b c3 3 3 5l
“ “ ““ “ “ “ “ “Î Þ Î Þ
Ï ß Ï ß
Ð à Ð à then l is
equal to :
(1) 1
(2) 2
(3) 3
(4) 0
46. ×æÙæ k k
k
1
( ) (sin cos )
k
f x x x5 1 ãñ, Áãæ¡
x e R ÌÍæ k/1 ãñ, Ìæð f4(x)2f6(x) ÕÚUæÕÚU ãñ Ñ
(1)
1
12
(2)
1
6
(3)
1
3
(4)
1
4
47. °·¤ Âÿæè 20 ×è. ª¡¤¿ð °·¤ ª¤ŠßæüÏÚU ¹´Öð ·ð¤ çàæ¹ÚU
ÂÚU ÕñÆUæ ãñ ÌÍæ §â·¤æ Öêç× ·ð¤ °·¤ çÕ´Îé O âð ©óæØÙ
·¤æð‡æ 458 ãñÐ Øã Âÿæè O âð ÂÚðU ÿæñçÌÁ çÎàææ ×𴠩ǸÌæ
ãñÐ °·¤ âð·´¤ÇU ·ð¤ ÕæÎ, O âð Âÿæè ·¤æ ©óæØÙ ·¤æð‡æ
ƒæÅU ·¤ÚU 308 ÚUã ÁæÌæ ãñÐ Ìæð (×è. ÂýçÌ âð. ×ð´) Âÿæè
·¤è ¿æÜ ãñ Ñ
(1) ( )20 3 12
(2) ( )40 2 12
(3) ( )40 3 22
(4) 20 2
48. ØçÎ
2
a b b c c a a b c3 3 3 5l
“ “ ““ “ “ “ “ “Î Þ Î Þ
Ï ß Ï ß
Ð à Ð à ãñ, Ìæð l
ÕÚUæÕÚU ãñ Ñ
(1) 1
(2) 2
(3) 3
(4) 0

20. F/Page 20 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
49. Let A and B be two events such that
( )
1
P A B
6
­ 5 , ( )
1
P A B
4
¬ 5 and
( )
1
P A
4
5 , where A stands for the
complement of the event A. Then the
events A and B are :
(1) independent and equally likely.
(2) mutually exclusive and independent.
(3) equally likely but not independent.
(4) independent but not equally likely.
50. The locus of the foot of perpendicular
drawn from the centre of the ellipse
x213y256 on any tangent to it is :
(1) (x21y2)256x222y2
(2) (x22y2)256x212y2
(3) (x22y2)256x222y2
(4) (x21y2)256x212y2
51. If f and g are differentiable functions in
[0, 1] satisfying f (0)525g(1), g(0)50 and
f (1)56, then for some ce]0, 1[ :
(1) f 9(c)52g9(c)
(2) 2f 9(c)5g9(c)
(3) 2f 9(c)53g9(c)
(4) f 9(c)5g9(c)
49. ×æÙæ A ÌÍæ B Îæð °ðâè ƒæÅUÙæ°¡ ãñ´ ç·¤
( )
1
P A B
6
­ 5 , ( )
1
P A B
4
¬ 5 ÌÍæ
( )
1
P A
4
5 ãñ ÁÕç·¤ A ƒæÅUÙæ A ·ð¤ ÂêÚU·¤ ·¤æð
ÎàææüÌæ ãñÐ Ìæð ƒæÅUÙæ°¡ A ÌÍæ B Ñ
(1) SßÌ´˜æ ãñ´ ÌÍæ â×âÖæßè ãñ´Ð
(2) ÂÚUSÂÚU ¥ÂßÁèü ÌÍæ SßÌ´˜æ ãñ´Ð
(3) â×âÖæßè ãñ´ ÂÚU‹Ìé SßÌ´˜æ Ùãè´ ãñ´Ð
(4) SßÌ´˜æ ãñ´ ÂÚU‹Ìé â×âÖæßè Ùãè´ ãñ´Ð
50. Îèƒæüßëžæ x213y256 ·ð¤ ·ð´¤Îý âð §â·¤è ç·¤âè SÂàæü
ÚðU¹æ ÂÚU ¹è´¿ð »° Ü´Õ ·ð¤ ÂæÎ ·¤æ çÕ´Îé ÂÍ ãñ Ñ
(1) (x21y2)256x222y2
(2) (x22y2)256x212y2
(3) (x22y2)256x222y2
(4) (x21y2)256x212y2
51. ØçÎ f ÌÍæ g, [0, 1] ×𴠥߷¤ÜÙèØ È¤ÜÙ ãñ´ Áæð
f (0)525g(1), g(0)50 ¥æñÚU f (1)56 ·¤æð â´ÌécÅU
·¤ÚUÌð ãñ´, Ìæð ç·¤âè ce]0, 1[ ·ð¤ çÜ° Ñ
(1) f 9(c)52g9(c)
(2) 2f 9(c)5g9(c)
(3) 2f 9(c)53g9(c)
(4) f 9(c)5g9(c)

21. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 21
52. Three positive numbers form an increasing
G.P. If the middle term in this G.P. is
doubled, the new numbers are in A.P.
Then the common ratio of the G.P. is :
(1) 2 31
(2) 2 31
(3) 3 21
(4) 2 32
53. If g is the inverse of a function f and
f 9 (x)5 5
1
1 x1
, then g9 (x) is equal to :
(1) 11{g(x)}5
(2) 11x5
(3) 5x4
(4)
{ }5
1
1 ( )g x1
54. Let a, b, c and d be non-zero numbers. If
the point of intersection of the lines
4ax12ay1c50 and 5bx12by1d50 lies
in the fourth quadrant and is equidistant
from the two axes then :
(1) 3bc12ad50
(2) 2bc23ad50
(3) 2bc13ad50
(4) 3bc22ad50
52. ÌèÙ ÏÙæˆ×·¤ ⴁØæ°´ ÕɸÌè »é‡ææðžæÚU Ÿæðɸè ×ð´ ãñ´Ð ØçÎ
§â »é‡ææðžæÚU ŸæðÉ¸è ·¤è Õè¿ ßæÜè ⴁØæ Îé»éÙè ·¤ÚU Îè
Áæ°, Ìæð Ù§ü ÕÙè ⴁØæ°´ â×æ´ÌÚU Ÿæðɸè ×ð´ ãæð ÁæÌè ãñ´Ð
»é‡ææðžæÚU ŸæðÉ¸è ·¤æ âæßü¥ÙéÂæÌ ãñ Ñ
(1) 2 31
(2) 2 31
(3) 3 21
(4) 2 32
53. ØçÎ g ȤÜÙ f ·¤æ ÃØ鈷ý¤× ãñ ÌÍæ f9 (x)5 5
1
1 x1
ãñ, Ìæð g9 (x) ÕÚUæÕÚU ãñ Ñ
(1) 11{g(x)}5
(2) 11x5
(3) 5x4
(4)
{ }5
1
1 ( )g x1
54. ×æÙæ a, b, c ÌÍæ d àæê‹ØðÌÚU ⴁØæ°¡ ãñ´Ð ØçÎ ÚðU¹æ¥æð´
4ax12ay1c50 ÌÍæ 5bx12by1d50 ·¤æ
ÂýçÌ‘ÀðUÎ çÕ´Îé ¿æñÍð ¿ÌéÍæZàæ ×ð´ ãñ ÌÍæ ÎæðÙæð´ ¥ÿææð´ âð
â×ÎêÚUSÍ ãñ, Ìæð Ñ
(1) 3bc12ad50
(2) 2bc23ad50
(3) 2bc13ad50
(4) 3bc22ad50

22. F/Page 22 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
55. If a, b¹0, and f (n)5an1bn and
3 1 (1) 1 (2)
1 (1) 1 (2) 1 (3)
1 (2) 1 (3) 1 (4)
f f
f f f
f f f
1 1
1 1 1
1 1 1
5K(12a)2 (12b)2 (a2b)2, then K is
equal to :
(1) 21
(2) ab
(3)
1
ab
(4) 1
56. The integral
2
0
1 4 sin 4 sin d
2 2
x x
x×
p
1 2 equals :
(1) 4 3 4
3
p
2 2
(2) p24
(3)
2
4 4 3
3
p
2 2
(4) 4 3 42
57. If (10)912(11)1 (10)813(11)2 (10)71...
110 (11)95k (10)9, then k is equal to :
(1) 110
(2)
121
10
(3)
441
100
(4) 100
55. ØçÎ a, b¹0, f (n)5an1bn ÌÍæ
3 1 (1) 1 (2)
1 (1) 1 (2) 1 (3)
1 (2) 1 (3) 1 (4)
f f
f f f
f f f
1 1
1 1 1
1 1 1
5K(12a)2 (12b)2 (a2b)2 ãñ, Ìæð K ÕÚUæÕÚU
ãñ Ñ
(1) 21
(2) ab
(3)
1
ab
(4) 1
56. â×æ·¤Ü
2
0
1 4 sin 4 sin d
2 2
x x
x×
p
1 2 ÕÚUæÕÚU ãñ Ñ
(1) 4 3 4
3
p
2 2
(2) p24
(3)
2
4 4 3
3
p
2 2
(4) 4 3 42
57. ØçÎ (10)912(11)1 (10)813(11)2 (10)71...
110 (11)95k (10)9 ãñ, Ìæð k ÕÚUæÕÚU ãñ Ñ
(1) 110
(2)
121
10
(3)
441
100
(4) 100

23. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 23
58. The angle between the lines whose
direction cosines satisfy the equations
l1m1n50 and l25m21n2 is :
(1)
2
p
(2)
3
p
(3)
4
p
(4)
6
p
59. The variance of first 50 even natural
numbers is :
(1)
437
4
(2)
833
4
(3) 833
(4) 437
60. If X5{4n23n21 : n e N} and
Y5{9(n21) : n e N}, where N is the set of
natural numbers, then XÈY is equal to :
(1) Y
(2) N
(3) Y2X
(4) X
58. Îæð ÚðU¹æ°¡, çÁÙ·ð¤ çη÷¤-·¤æð’Øæ, â×è·¤ÚU‡ææð´
l1m1n50 ÌÍæ l25m21n2 ·¤æð â´ÌécÅU ·¤ÚUÌð ãñ´,
·ð¤ Õè¿ ·¤æ ·¤æð‡æ ãñ Ñ
(1)
2
p
(2)
3
p
(3)
4
p
(4)
6
p
59. ÂãÜè 50 â× Âýæ·ë¤Ì ⴁØæ¥æð´ ·¤æ ÂýâÚU‡æ ãñ Ñ
(1)
437
4
(2)
833
4
(3) 833
(4) 437
60. ØçÎ X5{4n23n21 : n e N} ÌÍæ
Y5{9(n21) : n e N} ãñ´, Áãæ¡ N, Âýæ·ë¤Ì ⴁØæ¥æð´
·¤æ â×é“æØ ãñ, Ìæð XÈY ÕÚUæÕÚU ãñ Ñ
(1) Y
(2) N
(3) Y2X
(4) X

24. F/Page 24 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
61. The pressure that has to be applied to the
ends of a steel wire of length 10 cm to keep
its length constant when its temperature
is raised by 1008C is :
(For steel Young’s modulus is
231011 N m22 and coefficient of thermal
expansion is 1.131025 K21)
(1) 2.23109 Pa
(2) 2.23107 Pa
(3) 2.23106 Pa
(4) 2.23108 Pa
62. In the circuit shown here, the point ‘C’ is
kept connected to point ‘A’ till the current
flowing through the circuit becomes
constant. Afterward, suddenly, point ‘C’
is disconnected from point ‘A’ and
connected to point ‘B’ at time t50. Ratio
of the voltage across resistance and the
inductor at t5L/R will be equal to :
(1) 1
(2) 21
(3)
1 e
e
2
(4)
e
1 e2
61. 10 cm ܐÕæ§ü ·ð¤ °·¤ SÅUèÜ ·ð¤ ÌæÚU ·ð¤ çâÚUæð ÂÚU ÁÕ
ÌæÂ×æÙ ×ð´ ßëçh 1008C ·¤è ÁæÌè ãñ´ ÌÕ §â·¤è ܐÕæ§ü
çSÍÚU ÚU¹Ùð ·ð¤ çÜØð çâÚUæð ÂÚU Ü»æØæ »Øæ ÎæÕ ãñ Ñ
(SÅUèÜ ·¤æ Ø´» ÂýˆØæSÍÌæ »é‡ææ´·¤ 231011 N m22
¥æñÚU ÚðUç¹·¤ ÂýâæÚU »é‡ææ´·¤ 1.131025 K21 ãñ´)
(1) 2.23109 ÂæS·¤Ü
(2) 2.23107 ÂæS·¤Ü
(3) 2.23106 ÂæS·¤Ü
(4) 2.23108 ÂæS·¤Ü
62. Øãæ¡ ÎàææüØð »Øð ÂçÚUÂÍ ×ð´, çÕ‹Îé ‘C’ ·¤æð çÕ‹Îé ‘A’ âð
ÌÕ Ì·¤ ÁæðǸð ÚU¹æ ÁæÌæ ãñ ÁÕ Ì·¤ ç·¤ ÂçÚUÂÍ ×ð´
ÂýßæçãÌ ÏæÚUæ çSÍÚU Ù ãæð Áæ°Ð ̈Âà¿æÌ÷, ¥¿æÙ·¤,
çÕ‹Îé ‘C’ ·¤æð çÕ‹Îé ‘A’ âð ãÅUæ·¤ÚU çÕ‹Îé ‘B’ âð t50
â×Ø ÂÚU ÁæðǸ çÎØæ ÁæÌæ ãñÐ t5L/R ÂÚU ÂýçÌÚUæðÏ
ÂÚU ßæðËÅUÌæ ·¤æ ÂýðÚU·¤ˆß ÂÚU ßæðËÅUÌæ âð ¥ÙéÂæÌ ãæð»æ Ñ
(1) 1
(2) 21
(3)
1 e
e
2
(4)
e
1 e2
PART C — PHYSICS Öæ» C — ÖæñçÌ·¤ çß™ææÙ

25. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 25
63. The radiation corresponding to 3®2
transition of hydrogen atom falls on a
metal surface to produce photoelectrons.
These electrons are made to enter a
magnetic field of 331024 T. If the radius
of the largest circular path followed by
these electrons is 10.0 mm, the work
function of the metal is close to :
(1) 1.1 eV
(2) 0.8 eV
(3) 1.6 eV
(4) 1.8 eV
64. There is a circular tube in a vertical plane.
Two liquids which do not mix and of
densities d1 and d2 are filled in the tube.
Each liquid subtends 908 angle at centre.
Radius joining their interface makes
an angle a with vertical. Ratio
1
2
d
d is :
(1)
1 cos
1 cos
1 a
2 a
(2)
1 tan
1 tan
1 a
2 a
(3)
1 sin
1 cos
1 a
2 a
(4)
1 sin
1 sin
1 a
2 a
63. ãæ§ÇþUæðÁÙ ÂÚU×æ‡æé ·ð¤ 3®2 â´·ý¤×‡æ ·ð¤ â´»Ì çßç·¤ÚU‡æ
°·¤ ÏæÌé ÂëcÆU ÂÚU ¥æÂçÌÌ ãæð·¤ÚU ȤæðÅUæð§Üð€ÅþUæòÙ ©ˆÂóæ
·¤ÚUÌæ ãñÐ Øð §Üð€ÅþUæòÙ 331024 T ·ð¤ °·¤ ¿éÕ·¤èØ
ÿæð˜æ ×ð´ Âýßðàæ ·¤ÚUÌð ãñ´Ð ØçÎ §Üð€ÅþUæòÙæð´ mæÚUæ ¥Ùé»æ×è
¥çÏ·¤Ì× ßëžæèØ ÂÍ ·¤è ç˜æ’Øæ 10.0 mm ãæð, ÌÕ
ÏæÌé ·¤æ ·¤æØü ȤÜ٠ֻܻ ãñ Ñ
(1) 1.1 eV
(2) 0.8 eV
(3) 1.6 eV
(4) 1.8 eV
64. °·¤ ßëžææ·¤æÚU ÙÜè ª¤ŠßæüÏÚU ÌÜ ×ð´ ãñÐ Îæð Îýß, Áæð
°·¤ ÎêâÚðU âð ç×çŸæÌ Ùãè´ ãæðÌð ÌÍæ çÁÙ·¤æ ƒæÙˆß d1
°ß´ d2 ãñ´, ÙÜè ×ð´ ÖÚðU »Øð ãñ´Ð ÂýˆØð·¤ Îýß ·ð¤‹Îý ÂÚU
908 ·¤æ ·¤æð‡æ ¥´ÌçÚUÌ ·¤ÚUÌæ ãñ´Ð ©Ù·ð¤ ¥´ÌÑ ÂëcÆU ·¤æð
ÁæðǸÙð ßæÜè ç˜æ’Øæ ª¤ŠßæüÏÚU âð a ·¤æð‡æ ÕÙæÌè ãñ´Ð
¥ÙéÂæÌ
1
2
d
d ãñ Ñ
(1)
1 cos
1 cos
1 a
2 a
(2)
1 tan
1 tan
1 a
2 a
(3)
1 sin
1 cos
1 a
2 a
(4)
1 sin
1 sin
1 a
2 a

26. F/Page 26 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
65. A bob of mass m attached to an
inextensible string of length l is suspended
from a vertical support. The bob rotates
in a horizontal circle with an angular
speed v rad/s about the vertical. About
the point of suspension :
(1) angular momentum changes in
magnitude but not in direction.
(2) angular momentum changes in
direction but not in magnitude.
(3) angular momentum changes both in
direction and magnitude.
(4) angular momentum is conserved.
66. A thin convex lens made from crown glass
3
2
Ë ÛÜÌ ÜÌ ÜÌÍ Ý
m 5 has focal length f. When it is
measured in two different liquids having
refractive indices
4
3
and
5
3
, it has the focal
lengths f1 and f2 respectively. The correct
relation between the focal lengths is :
(1) f1 > f and f2 becomes negative
(2) f2 > f and f1 becomes negative
(3) f1 and f2 both become negative
(4) f15f2 < f
65. ܐÕæ§ü l ·¤è °·¤ ¥çßÌæ‹Ø ǸæðÚUè âð Õ¡Ïð ÎýÃØ×æÙ m
·ð¤ °·¤ ÕæÕ ·¤æð °·¤ ª¤ŠßæüÏÚU ¥æÏæÚU âð ÜÅU·¤æØæ
ÁæÌæ ãñÐ ÕæÕ ª¤ŠßæüÏÚU ÂÚU ·¤æð‡æèØ ¿æÜ v rad/s âð
°·¤ ÿæñçÌÁ ßëžæ ×ð´ ƒæê‡æüÙ ·¤ÚUÌæ ãñÐ çÙÜ´ÕÙ çÕ‹Îé
ÂÚU Ñ
(1) ·¤æð‡æèØ â´ßð» ÂçÚU×æ‡æ ×ð´ ÂçÚUßÌüÙàæèÜ ãñ´ ÂÚU‹Ìé
çÎàææ ×ð´ Ùãè´Ð
(2) ·¤æð‡æèØ â´ßð» çÎàææ ×ð´ ÂçÚUßÌüÙàæèÜ ãñ ÂÚU‹Ìé
ÂçÚU×æ‡æ ×ð´ Ùãè´Ð
(3) ·¤æð‡æèØ â´ßð» ÎæðÙæð´ çÎàææ °ß´ ÂçÚ×æ‡æ ×ð´
ÂçÚUUßÌüÙàæèÜ ãñÐ
(4) ·¤æð‡æèØ â´ßð» â´ÚUçÿæÌ ÚUãÌæ ãñÐ
66. ·ý¤æ©Ù ·¤æ¡¿
3
2
Ë ÛÜÌ ÜÌ ÜÌÍ Ý
m 5 âð ÕÙð °·¤ ÂÌÜð ©žæÜ Üð‹â
·¤è Ȥæð·¤â ܐÕæ§ü f ãñÐ ÁÕ §âð ¥ÂßÌüÙæ´·¤
4
3
°ß´
5
3
ßæÜð Îæð çÖóæ Îýßæð´ ×ð´ ÚU¹·¤ÚU ×æÂæ ÁæÌæ ãñ, ÌÕ
Ȥæð·¤â ܐÕæ§Øæ¡ ·ý¤×àæÑ f1 °ß´ f2 ãñ´Ð Ȥæð·¤â
ܐÕæ§Øæð´ ·ð¤ Õè¿ âãè âÕ‹Ï ãñ Ñ
(1) f1> f ¥æñÚU f2 «¤‡ææˆ×·¤ ãæð ÁæÌæ ãñÐ
(2) f2> f ¥æñÚU f1 «¤‡ææˆ×·¤ ãæð ÁæÌæ ãñÐ
(3) f1 °ß´ f2 ÎæðÙæð´ «¤‡ææˆ×·¤ ãæð ÁæÌð ãñ´Ð
(4) f15f2 < f

27. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 27
67. A green light is incident from the water to
the air - water interface at the critical
angle(u). Select the correct statement.
(1) The spectrum of visible light whose
frequency is less than that of green
light will come out to the air
medium.
(2) The spectrum of visible light whose
frequency is more than that of green
light will come out to the air
medium.
(3) The entire spectrum of visible light
will come out of the water at various
angles to the normal.
(4) The entire spectrum of visible light
will come out of the water at an
angle of 908 to the normal.
68. A block of mass m is placed on a surface
with a vertical cross section given by
y5
3
6
x
. If the coefficient of friction is 0.5,
the maximum height above the ground at
which the block can be placed without
slipping is :
(1)
2
m
3
(2)
1
m
3
(3)
1
m
2
(4)
1
m
6
67. °·¤ ãÚðU Ú´U» ·¤æ Âý·¤æàæ ÂæÙè âð ßæØé-ÁÜ ¥‹ÌÚUæÂëcÆU
ÂÚU ·ý¤æç‹Ì·¤ ·¤æð‡æ(u) âð ¥æÂçÌÌ ãñÐ âãè ·¤ÍÙ
¿éçÙØðÐ
(1) ÎëàØ Âý·¤æàæ ·¤æ ßã SÂð€ÅþU×, çÁâ·¤è ÌÚ´U»ÎñƒØü
ãÚðU Âý·¤æàæ âð ·¤× ãñ, ÂæÙè âð ßæØé ·ð¤ ×æŠØ×
×ð´ ÕæãÚU çÙ·¤Üð»æÐ
(2) ÎëàØ Âý·¤æàæ ·¤æ ßã SÂð€ÅþU×, çÁâ·¤è ÌÚ´U»ÎñƒØü
ãÚðU Âý·¤æàæ âð ¥çÏ·¤ ãñ, ÂæÙè âð ßæØé ·ð¤ ×æŠØ×
×ð´ ÕæãÚU çÙ·¤Üð»æÐ
(3) ÎëàØ Âý·¤æàæ ·¤æ âÂê‡æü SÂð€ÅþU× ÂæÙè âð
¥çÖÜÕ âð çßçÖóæ ·¤æð‡ææð´ ÂÚU ÕæãÚU çÙ·¤Üð»æÐ
(4) ¥çÖÜÕ âð 908 ·¤æð‡æ ÂÚU ÂæÙè âð ÎëàØ Âý·¤æàæ
·¤æ âÂê‡æü SÂð€ÅþU× ÕæãÚU çÙ·¤Üð»æÐ
68. °·¤ ÂëcÆU ÂÚU °·¤ ÎýÃØ×æÙ m ·¤æ ŽÜæò·¤ ÚU¹æ ãñÐ
ÂëcÆU ·¤è ª¤ŠßæüÏÚU ¥ÙéÂýSÍ ·¤æÅU y5
3
6
x
âð Îè ÁæÌè
ãñÐ ØçÎ ƒæáü‡æ »é‡ææ´·¤ 0.5 ãñ, ÌÕ ÏÚUÌè â𠪤ÂÚU ßã
¥çÏ·¤Ì× ª¡¤¿æ§ü, çÁâ ÂÚU çÕÙæ çȤâÜð ŽÜæò·¤ ÚU¹æ
Áæ â·¤Ìæ ãñ´, ãñ Ñ
(1)
2
m
3
(2)
1
m
3
(3)
1
m
2
(4)
1
m
6

28. F/Page 28 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
69. The coercivity of a small magnet where the
ferromagnet gets demagnetized is
33103 A m21. The current required to be
passed in a solenoid of length 10 cm and
number of turns 100, so that the magnet
gets demagnetized when inside the
solenoid, is :
(1) 60 mA
(2) 3 A
(3) 6 A
(4) 30 mA
70. A conductor lies along the z-axis
at 21.5 [ z < 1.5 m and carries
a fixed current of 10.0 A in az
¾
2
direction (see figure). For a field
B
“
53.031024 e20.2x ay
¾
T, find the
power required to move the conductor at
constant speed to x52.0 m, y50 m in
531023 s. Assume parallel motion along
the x-axis.
(1) 2.97 W
(2) 14.85 W
(3) 29.7 W
(4) 1.57 W
69. °·¤ ÀUæðÅðU ¿éÕ·¤ ·¤è çÙ»ýæçãÌæ, Áãæ¡ Üæðã¿éÕ·¤
¥¿éÕ·¤èØ ãæð ÁæÌæ ãñ, 33103 A m21 ãñÐ ¿·ý¤æð´
·¤è ⴁØæ100 °ß´ ܐÕæ§ü10 cm ·¤è °·¤ ÂçÚUÙæçÜ·¤æ
âð ÂýßæçãÌ ¥æßàØ·¤ ÏæÚUæ ·¤æ ×æÙ, çÁââð ç·¤ ¿éÕ·¤
ÂçÚUÙæçÜ·¤æ ·ð¤ ¥‹ÎÚU ãæðÙð ÂÚU ¥¿éÕ·¤èØ ãæð ÁæØð,
ãñ Ñ
(1) 60 mA
(2) 3 A
(3) 6 A
(4) 30 mA
70. °·¤ âé¿æÜ·¤ z-¥ÿæ ·ð¤ âæÍ 21.5 [ z < 1.5 m
ÂÚU ÚU¹æ ãñ ¥æñÚU §â×ð´ az
¾
2 çÎàææ ×ð´ çSÍÚU ÏæÚUæ
10.0 A ÂýßæçãÌ ãæð ÚUãè ãñÐ (翘æ Îð¹ð´)Ð ÿæð˜æ
B
“
53.031024 e20.2x ay
¾
T ·ð¤ çÜØð,
âé¿æÜ·¤ ·¤æð çSÍÚU ¿æÜ âð x52.0 m, y50 m
Ì·¤ 531023 s ×ð´ »çÌ ·¤ÚUæÙð ·ð¤ çÜØð ¥æßàØ·¤
àæç€Ì ·¤è »‡æÙæ ·¤èçÁ°Ð x-¥ÿæ ÂÚU â×æ‹ÌÚU »çÌ
×æÙ Üð´Ð
(1) 2.97 W
(2) 14.85 W
(3) 29.7 W
(4) 1.57 W

29. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 29
71. Two beams, A and B, of plane polarized
light with mutually perpendicular planes
of polarization are seen through a
polaroid. From the position when the
beam A has maximum intensity (and
beam B has zero intensity), a rotation of
polaroid through 308 makes the two beams
appear equally bright. If the initial
intensities of the two beams are IA and IB
respectively, then
A
B
I
I equals :
(1)
3
2
(2) 1
(3)
1
3
(4) 3
72. The forward biased diode connection is :
(1)
(2)
(3)
(4)
73. Assume that an electric field 2
E 30x i5
“ ¾
exists in space. Then the potential
difference VA2VO, where VO is the
potential at the origin and VA the potential
at x52 m is :
(1) 2120 J
(2) 280 J
(3) 80 J
(4) 120 J
71. Ïýéß‡æ ·ð¤ ¥‹Øæð‹Ø ܐÕßÌ÷ ÌÜæð´ ßæÜð â×ÌÜ ÏýéßèØ
Âý·¤æàæ ·¤è Îæð Âé´Á A °ß´ B °·¤ ÂæðÜÚUæØǸ mæÚUæ Îð¹è
ÁæÌè ãñÐ ©â çSÍçÌ âð Áãæ¡ Âé´Á A ·¤è ¥çÏ·¤Ì×
ÌèßýÌæ ãñ (¥æñÚU Âé´Á B ·¤è àæê‹Ø ÌèßýÌæ ãñ) ÂæðÜÚUæØÇU
·¤æ 308 âð ƒæê‡æüÙ ÎæðÙæð´ Âé´Áæð´ ·¤æð °·¤â×æÙ léçÌ×æÙ
ÂýÌèÌ ãæðÌæ ãñÐ ØçÎ ÎæðÙæð´ Âé¡Áæð´ ·¤è ÂýæÚUçÖ·¤ ÌèßýÌæ°¡
·ý¤×àæÑ IA °ß´ IB ãñ´, ÌÕ
A
B
I
I ·¤æ ×æÙ ãñ Ñ
(1)
3
2
(2) 1
(3)
1
3
(4) 3
72. ¥»ýçâÌ ÕæØâ ßæÜæ ÇUæØæðǸ ÁæðǸ ãñ Ñ
(1)
(2)
(3)
(4)
73. ×æÙ Üð´ ÃØæð× ×ð´ °·¤ çßléÌ ÿæð˜æ 2
E 30x i5
“ ¾
ãñÐ
ÌÕ çßÖßæ‹ÌÚU VA2VO, Áãæ¡ VO ×êÜçÕ‹Îé ÂÚU
çßÖß °ß´ VA, x52 m ÂÚU çßÖß ãñ´, ãñ Ñ
(1) 2120 J
(2) 280 J
(3) 80 J
(4) 120 J

30. F/Page 30 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
74. Match List - I (Electromagnetic wave type)
with List - II (Its association/application)
and select the correct option from the
choices given below the lists :
(a)
Infrared
waves
(i)
To treat muscular
strain
(b) Radio waves (ii) For broadcasting
(c) X - rays (iii)
To detect fracture
of bones
(d)
Ultraviolet
rays
(iv)
Absorbed by the
ozone layer of the
atmosphere
List - I List - II
(a) (b) (c) (d)
(1) (i) (ii) (iv) (iii)
(2) (iii) (ii) (i) (iv)
(3) (i) (ii) (iii) (iv)
(4) (iv) (iii) (ii) (i)
75. The current voltage relation of diode is
given by I5(e1000V/T21) mA, where the
applied voltage V is in volts and the
temperature T is in degree Kelvin. If a
student makes an error measuring
60.01 V while measuring the current of
5 mA at 300 K, what will be the error in
the value of current in mA ?
(1) 0.02 mA
(2) 0.5 mA
(3) 0.05 mA
(4) 0.2 mA
74. âê¿è - I (çßléÌ ¿éÕ·¤èØ ÌÚ´U» Âý·¤æÚU) ·¤æð
âê¿è - II (§Ùâð âÕçhÌ/¥ÙéÂýØæðç»Ì) âð âé×ðçÜÌ
·¤èçÁØð ¥æñÚU âêç¿Øæð´ ·ð¤ Ùè¿ð çÎØð »Øð çß·¤ËÂæð´ ×ð´ âð
âãè çß·¤Ë ¿éçÙØðÑ
(a) ŠÄ¿Uþ± ±¿™U Õ (i)
¼Ë†Ç§ÕÌÅ˽ËÕ™ œ‰Í ÌĜЉ̱
œÕ‰ ŒÁ˦ œÕ‰ ÌÁ½Õ
(b) ¿ÕU̬U½ËÕ ±¿™U Õ (ii) §âÇË¿UøË œÕ‰ ÌÁ½Õ
(c) •þÇ-Ìœ‰¿UøËÕ™ (iii)
ÈÌa½ËÕ™ œÕ‰ ŠÌS²»™ œ‰Í
§È¤Ë¾ œÕ‰ ÌÁ½Õ
(d)
§¿U˺֙ ¾Í
Ìœ‰¿UøËÕ™
(iv)
Ä˱ËÄ¿UøË œ‰Í ŠËÕ$¦ËÕ¾
§¿U± mË¿UË ŠÄÅËËÕÆøË
ÇÏ¤Í - I ÇÏ¤Í - II
(a) (b) (c) (d)
(1) (i) (ii) (iv) (iii)
(2) (iii) (ii) (i) (iv)
(3) (i) (ii) (iii) (iv)
(4) (iv) (iii) (ii) (i)
75. °·¤ ÇUæØæðÇU ·¤è ÏæÚUæ-ßæðËÅUÌæ âÕ‹Ï
I5(e1000V/T21) mA âð Îè ÁæÌè ãñ´, Áãæ¡ V Ü»æ§ü
»§ü ßæðËÅUÌæ ßæðËÅU ×ð´ ãñ ¥æñÚU ÌæÂ×æÙ T çÇU»ýè ·ñ¤çËßÙ
×ð´ ãñÐ ØçÎ °·¤ çßlæÍèü 300 K ÂÚU 5 mA ÏæÚUæ
ÙæÂÌð ãéØð ×æÂÙ ×ð´ 60.01 V ·¤è ˜æéçÅU ·¤ÚUÌæ ãñ, ÌÕ
ÏæÚUæ ·ð¤ ×æÙ ×ð´ mA ×ð´ ˜æéçÅU €Øæ ãæð»è?
(1) 0.02 mA
(2) 0.5 mA
(3) 0.05 mA
(4) 0.2 mA

31. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 31
76. One mole of diatomic ideal gas undergoes
a cyclic process ABC as shown in figure.
The process BC is adiabatic. The
temperatures at A, B and C are 400 K,
800 K and 600 K respectively. Choose the
correct statement :
(1) The change in internal energy in the
process CA is 700 R.
(2) The change in internal energy in the
process AB is 2350 R.
(3) The change in internal energy in the
process BC is 2500 R.
(4) The change in internal energy in
whole cyclic process is 250 R.
77. A pipe of length 85 cm is closed from one
end. Find the number of possible natural
oscillations of air column in the pipe whose
frequencies lie below 1250 Hz. The
velocity of sound in air is 340 m/s.
(1) 8
(2) 6
(3) 4
(4) 12
76. çmÂÚU×æ‡æé·¤ ¥æÎàæü »ñâ ·¤æ °·¤ ×æðÜ ¿·ý¤èØ Âýç·ý¤Øæ
ABC âð »éÁÚUÌæ ãñ Áñâæ ç·¤ 翘æ ×ð´ ÎàææüØæ »Øæ ãñÐ
Âýç·ý¤Øæ BC L¤hæðc× ãñÐ A, B °ß´ C ·ð¤ ÌæÂ×æÙ
·ý¤×àæÑ 400 K, 800 K °ß´ 600 K ãñ´Ð âãè ·¤ÍÙ
¿éçÙØð Ñ
(1) Âýç·ý¤Øæ CA ×ð´ ¥æ‹ÌçÚU·¤ ª¤Áæü ×ð´ ÂçÚUßÌüÙ
700 R ãñÐ
(2) Âýç·ý¤Øæ AB ×ð´ ¥æ‹ÌçÚU·¤ ª¤Áæü ×ð´ ÂçÚUßÌüÙ
2350 R ãñÐ
(3) Âýç·ý¤Øæ BC ×ð´ ¥æ‹ÌçÚU·¤ ª¤Áæü ×ð´ ÂçÚUßÌüÙ
2500 R ãñÐ
(4) âÂê‡æü ¿·ý¤èØ Âýç·ý¤Øæ ×ð´ ¥æ‹ÌçÚU·¤ ª¤Áæü ×ð´
ÂçÚUßÌüÙ 250 R ãñÐ
77. ܐÕæ§ü 85 cm ·ð¤ °·¤ Âæ§Â ·ð¤ °·¤ çâÚðU ·¤æð Õ‹Î
·¤ÚU çÎØæ ÁæÌæ ãñÐ Âæ§Â ×ð´ ßæØé SÌÖ ·ð¤ âÖß
Âýæ·ë¤çÌ·¤ ÎæðÜÙæð ·¤è ßã ⴁØæ çÙ·¤æçÜ°ð çÁÙ·¤è
¥æßëçžæ 1250 Hz âð ·¤× ãñÐ ßæØé ×ð´ ŠßçÙ ·¤æ ßð»
340 m/s ãñÐ
(1) 8
(2) 6
(3) 4
(4) 12

32. F/Page 32 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
78. In a large building, there are 15 bulbs of
40 W, 5 bulbs of 100 W, 5 fans of 80 W
and 1 heater of 1 kW. The voltage of the
electric mains is 220 V. The minimum
capacity of the main fuse of the building
will be :
(1) 10 A
(2) 12 A
(3) 14 A
(4) 8 A
79. Four particles, each of mass M and
equidistant from each other, move along
a circle of radius R under the action of their
mutual gravitational attraction. The speed
of each particle is :
(1)
GM
2 2
R
(2) ( )GM
1 2 2
R
1
(3) ( )1 GM
1 2 2
2 R
1
(4)
GM
R
78. °·¤ ÕëãÌ ÖßÙ ×ð´, 40 W ·ð¤ 15 ÕËÕ, 100 W ·ð¤
5 ÕËÕ, 80 W ·ð¤ 5 ´¹ð °ß´ 1 kW ·¤æ 1 ãèÅUÚU ãñ´Ð
çÕÁÜè ·ð¤ ×ð‹â ·¤è ßæðËÅUÌæ 220 V ãñ´Ð ÖßÙ ·ð¤
×éØ Øê$Á ·¤è ‹ØêÙÌ× ÿæ×Ìæ ãæð»è Ñ
(1) 10 A
(2) 12 A
(3) 14 A
(4) 8 A
79. ÂýˆØð·¤ ÎýÃØ×æÙ M ·ð¤ ¿æÚU ·¤‡æ Áæð ç·¤ °·¤ ÎêâÚðU âð
â×æÙ ÎêÚUè ÂÚU ãñ´, °·¤ ÎêâÚðU ·ð¤ ¥‹Øæð‹Ø »éL¤ˆßæ·¤áü‡æ
ÂýÖæß ×ð´ ç˜æ’Øæ R ·ð¤ °·¤ ßëžæ ÂÚU »çÌàæèÜ ãñ´Ð ÂýˆØð·¤
·¤‡æ ·¤è ¿æÜ ãñ Ñ
(1)
GM
2 2
R
(2) ( )GM
1 2 2
R
1
(3) ( )1 GM
1 2 2
2 R
1
(4)
GM
R

33. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 33
80. From a tower of height H, a particle is
thrown vertically upwards with a
speed u. The time taken by the particle, to
hit the ground, is n times that taken by it
to reach the highest point of its path.
The relation between H, u and n is :
(1) g H5(n22)2u2
(2) 2 g H5nu2(n22)
(3) g H5(n22)u2
(4) 2 g H5n2u2
81. A student measured the length of a rod
and wrote it as 3.50 cm. Which instrument
did he use to measure it ?
(1) A vernier calliper where the
10 divisions in vernier scale matches
with 9 division in main scale and
main scale has 10 divisions in 1 cm.
(2) A screw gauge having 100 divisions
in the circular scale and pitch as
1 mm.
(3) A screw gauge having 50 divisions
in the circular scale and pitch as
1 mm.
(4) A meter scale.
80. ª¡¤¿æ§ü H ·¤è °·¤ ×èÙæÚU âð, ¿æÜ u âð °·¤ ·¤‡æ ·¤æð
ª¤ŠßæüÏÚU ª¤ÂÚU ·¤è ¥æðÚU Èð´¤·¤æ ÁæÌæ ãñÐ ·¤‡æ ·¤æð
Âë‰ßè Ì·¤ ç»ÚUÙð ×ð´ Ü»æ â×Ø ©â·ð¤ ©“æÌ× çÕ‹Îé
Ì·¤ Âãé¡¿Ùð ·ð¤ â×Ø ·¤æ n »éÙæ ãñ´Ð
H, u °ß´ n ·ð¤ Õè¿ âÕ‹Ï ãñ Ñ
(1) g H5(n22)2u2
(2) 2 g H5nu2(n22)
(3) g H5(n22)u2
(4) 2 g H5n2u2
81. °·¤ çßlæÍèü Ùð °·¤ ÀUǸ ·¤è ܐÕæ§ü ×æ·¤ÚU
3.50 cm çܹèÐ §â·¤æð ×æÂÙð ×ð´ ©âÙð 緤⠩·¤ÚU‡æ
·¤æ ÂýØæð» ç·¤Øæ?
(1) °·¤ ßçÙüØÚU ·ñ¤çÜÂâü Áãæ¡ ßçÙüØÚU S·ð¤Ü ·ð¤
10 Öæ» ×éØ S·ð¤Ü ·ð¤ 9 Öæ»æð´ âð ç×ÜÌð ãñ´
¥æñÚU ×éØ S·ð¤Ü ·ð¤ 1 cm ×ð´ 10 Öæ» ãñ´Ð
(2) °·¤ S·ýê¤ »ð$Á çÁâ·ð¤ ßçÙüØÚU S·ð¤Ü ×ð´
100 Öæ» ãñ´ ¥æñÚU ç¿ 1 mm ãñÐ
(3) °·¤ S·ýê¤ »ð$Á çÁâ·ð¤ ßçÙüØÚU S·ð¤Ü ×ð´ 50 Öæ»
ãñ´ ¥æñÚU ç¿ 1 mm ãñÐ
(4) °·¤ ×èÅUÚU S·ð¤ÜÐ

34. F/Page 34 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
82. A parallel plate capacitor is made of two
circular plates separated by a distance of
5 mm and with a dielectric of dielectric
constant 2.2 between them. When the
electric field in the dielectric is 33104 V/m,
the charge density of the positive plate will
be close to :
(1) 331027 C/m2
(2) 33104 C/m2
(3) 63104 C/m2
(4) 631027 C/m2
83. An open glass tube is immersed in mercury
in such a way that a length of 8 cm extends
above the mercury level. The open end of
the tube is then closed and sealed and the
tube is raised vertically up by additional
46 cm. What will be length of the air
column above mercury in the tube now ?
(Atmospheric pressure 576 cm of Hg)
(1) 22 cm
(2) 38 cm
(3) 6 cm
(4) 16 cm
84. A particle moves with simple harmonic
motion in a straight line. In first t s, after
starting from rest it travels a distance a,
and in next t s it travels 2a, in same
direction, then :
(1) time period of oscillations is 8t
(2) amplitude of motion is 4a
(3) time period of oscillations is 6t
(4) amplitude of motion is 3a
82. Îæð ßëžæèØ ŒÜðÅUæð, çÁÙ·ð¤ Õè¿ ÎêÚUè 5 mm ãñ´, âð °·¤
â×æ‹ÌÚU Âç^·¤æ â´ÏæçÚU˜æ ÕÙæØæ »Øæ ãñ çÁâ·ð¤ Õè¿
ÂÚUæßñléÌ çSÍÚUæ´·¤ 2.2 ·¤æ °·¤ ÂÚUæßñléÌ ÚU¹æ »Øæ ãñÐ
ÁÕ ÂÚUæßñléÌ ×ð´ çßléÌ ÿæð˜æ 33104 V/m ãñ, ÌÕ
ÏÙæˆ×·¤ ŒÜðÅU ·¤æ ¥æßðàæ ƒæÙˆß Ü»Ö» ãæð»æ Ñ
(1) 331027 C/m2
(2) 33104 C/m2
(3) 63104 C/m2
(4) 631027 C/m2
83. °·¤ ¹éÜè ·¤æ¡¿ ·¤è ÙÜè ·¤æð ÂæÚðU ×ð´ §â Âý·¤æÚU ÇéUÕæðØæ
ÁæÌæ ãñ ç·¤ ÂæÚðU ·ð¤ SÌÚU âð 8 cm ª¤ÂÚU ·¤æ¡¿ ·¤è ÙÜè
·¤è ܐÕæ§ü ãñÐ ÙÜè ·ð¤ ¹éÜð çâÚðU ·¤æð ¥Õ Õ‹Î ·¤ÚU
âèÜ ·¤ÚU çÎØæ ÁæÌæ ãñ ¥æñÚU ÙÜè ·¤æ𠪤ŠßæüÏÚU ¥çÌçÚU€Ì
46 cm â𠪤ÂÚU ©ÆUæØæ ÁæÌæ ãñÐ ÙÜè ×ð´ ÂæÚðU ·ð¤ ª¤ÂÚU
ßæØé SÌÖ ·¤è ܐÕæ§ü ¥Õ €Øæ ãæð»è?
(ßæØé×´ÇUÜèØ ÎæÕ5Hg ·¤æ 76 cm)
(1) 22 cm
(2) 38 cm
(3) 6 cm
(4) 16 cm
84. °·¤ ·¤‡æ °·¤ âÚUÜ ÚðU¹æ ×ð´ âÚUÜ ¥æßÌü »çÌ âð
»çÌàæèÜ ãñÐ Øã çßÚUæ×æßSÍæ âð ÂýæÚUÖ ·¤ÚU ÂýÍ×
t âñç·¤‡ÇU ×ð´ ÎêÚUè a ¥æñÚU ¥»Üð t âñç·¤‡ÇU ×ð´ ÎêÚUè 2a
©âè çÎàææ ×ð´ ÌØ ·¤ÚUÌæ ãñÐ ÌÕ Ñ
(1) ÎæðÜÙæð´ ·¤æ ¥æßÌü ·¤æÜ 8t ãñÐ
(2) »çÌ ·¤æ ¥æØæ× 4a ãñÐ
(3) ÎæðÜÙæð´ ·¤æ ¥æßÌü ·¤æÜ 6t ãñÐ
(4) »çÌ ·¤æ ¥æØæ× 3a ãñÐ

35. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 35
85. On heating water, bubbles being formed
at the bottom of the vessel detatch and rise.
Take the bubbles to be spheres of radius R
and making a circular contact of radius r
with the bottom of the vessel. If r << R,
and the surface tension of water is T, value
of r just before bubbles detatch is :
(density of water is r
w
)
(1) w2 g
R
6 T
r
(2) w2 g
R
T
r
(3) w2 3 g
R
T
r
(4) w2 g
R
3 T
r
85. ÂæÙè ·¤æð »×ü ·¤ÚUÙð ÂÚU, ÕÌüÙ ·¤è ÌÜè ×ð´ ÕéÜÕéÜð
ÕÙÌð ãñ´ ¥æñÚU çßÜ‚Ù ãæð·¤ÚU ª¤ÂÚU ·¤è ¥æðÚU ©ÆUÌð ãñ´Ð
ÕéÜÕéÜæð´ ·¤æð ç˜æ’Øæ R ·¤æ »æðÜæ ×æÙ Üð´ ¥æñÚU ÕÌüÙ ·¤è
ÌÜè âð ßëžæèØ SÂàæü ·¤è ç˜æ’Øæ r Üð´Ð ØçÎ r << R
¥æñÚU ÂæÙè ·¤æ ÂëcÆU ÌÙæß T ãñ´, ÌÕ ÕéÜÕéÜæð´ ·ð¤ Õâ
çßÜ‚Ù ãæðÙð âð ÁÚUæ ÂãÜð r ·¤æ ×æÙ ãñ´ Ñ
(ÂæÙè ·¤æ ƒæÙˆß r
w
ãñ)
(1) w2 g
R
6 T
r
(2) w2 g
R
T
r
(3) w2 3 g
R
T
r
(4) w2 g
R
3 T
r

36. F/Page 36 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
86. A mass ‘m’ is supported by a massless
string wound around a uniform hollow
cylinder of mass m and radius R. If the
string does not slip on the cylinder, with
what acceleration will the mass fall on
release ?
(1)
g
2
(2)
5g
6
(3) g
(4)
2g
3
87. During the propagation of electromagnetic
waves in a medium :
(1) Electric energy density is half of the
magnetic energy density.
(2) Electric energy density is equal to the
magnetic energy density.
(3) Both electric and magnetic energy
densities are zero.
(4) Electric energy density is double of
the magnetic energy density.
86. ç˜æ’Øæ R °ß´ ÎýÃØ×æÙ m ·ð¤ °·¤ °·¤â×æÙ ¹æð¹Üð
ÕðÜÙ ·ð¤ ¿æÚUæð´ ÌÚUȤ °·¤ ÎýÃØ×æÙçßãèÙ ÇUæðÚUè âð °·¤
ÎýÃØ×æÙ ‘m’ ¥ßÜ´çÕÌ ãñ´Ð ØçÎ ÇUæðÚUè ÕðÜÙ ÂÚU
çȤâÜÌè Ùãè´ ãñ, ÌÕ ÀUæðǸð ÁæÙð ÂÚU ÎýÃØ×æÙ ç·¤â
ˆßÚU‡æ âð ç»ÚðU»æ?
(1)
g
2
(2)
5g
6
(3) g
(4)
2g
3
87. °·¤ ×æŠØ× ×ð´ çßléÌ ¿éÕ·¤èØ ÌÚ´U»æð´ ·ð¤ â´¿ÚU‡æ ·ð¤
ÎæñÚUæÙ Ñ
(1) çßléÌèØ ª¤Áæü ƒæÙˆß ¿éÕ·¤èØ ª¤Áæü ƒæÙˆß
·¤æ ¥æÏæ ãñÐ
(2) çßléÌèØ ª¤Áæü ƒæÙˆß ¿éÕ·¤èØ ª¤Áæü ƒæÙˆß
·ð¤ ÕÚUæÕÚU ãñÐ
(3) ÎæðÙæð´ çßléÌèØ °ß´ ¿éÕ·¤èØ ª¤Áæü ƒæÙˆß àæê‹Ø
ãñÐ
(4) çßléÌèØ ª¤Áæü ƒæÙˆß ¿éÕ·¤èØ ª¤Áæü ƒæÙˆß
·¤æ Îæð»éÙæ ãñÐ

37. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãF/Page 37
88. Three rods of Copper, Brass and Steel are
welded together to form a Y - shaped
structure. Area of cross - section of each
rod54 cm2. End of copper rod is
maintained at 1008C where as ends of
brass and steel are kept at 08C. Lengths of
the copper, brass and steel rods are 46, 13
and 12 cms respectively. The rods are
thermally insulated from surroundings
except at ends. Thermal conductivities of
copper, brass and steel are 0.92, 0.26 and
0.12 CGS units respectively. Rate of heat
flow through copper rod is :
(1) 2.4 cal/s
(2) 4.8 cal/s
(3) 6.0 cal/s
(4) 1.2 cal/s
89. Hydrogen (1H1), Deuterium (1H2), singly
ionised Helium (2He4)1 and doubly
ionised lithium (3Li6)11 all have one
electron around the nucleus. Consider an
electron transition from n52 to n51. If
the wave lengths of emitted radiation are
l1, l2, l3 and l4 respectively then
approximately which one of the following
is correct ?
(1) l152l252l35l4
(2) l15l254l359l4
(3) l152l253l354l4
(4) 4l152l252l35l4
88. Ìæ¡Õð, ÂèÌÜ °ß´ SÅUèÜ ·¤è ÌèÙ ÀUǸæð´ ·¤æð Y - ¥æ·¤æÚU
â´ÚU¿Ùæ ×ð´ ßðËÇU ç·¤Øæ »Øæ ãñ´Ð ÂýˆØð·¤ ÀUǸ ·¤è
¥ÙéÂýSÍ ·¤æÅU ·¤æ ÿæð˜æȤÜ54 cm2 ãñÐ Ìæ¡Õð ·¤è ÀUǸ
·ð¤ çâÚðU ·¤æ ÌæÂ×æÙ 1008C ãñ´ ÁÕç·¤ ÂèÌÜ °ß´
SÅUèÜ ·ð¤ çâÚðU 08C ÌæÂ×æÙ ÂÚU ÚU¹ð »Øð ãñ´Ð Ìæ¡Õð,
ÂèÌÜ °ß´ SÅUèÜ ·¤è ÀUǸæð´ ·¤è ܐÕæ§üØæ¡ ·ý¤×àæÑ
46, 13 °ß´ 12 cms ãñ´Ð ÀUǸæð´ ·¤æð, ©Ù·ð¤ çâÚUæð´ ·¤æð
ÀUæðǸ·¤ÚU, ßæÌæßÚU‡æ â𠪤c×èØ ÚUæðÏè ç·¤Øæ »Øæ ãñÐ
Ìæ¡Õð, ÂèÌÜ °ß´ SÅUèÜ ·¤è ª¤c×æ ¿æÜ·¤Ìæ°¡ ·ý¤×àæÑ
0.92, 0.26 °ß´ 0.12 CGS §·¤æ§ü ãñ´Ð Ìæ¡Õð ·¤è ÀUǸ
âð ÂýßæçãÌ ª¤c×æ ·¤è ÎÚU ãñ Ñ
(1) 2.4 cal/s
(2) 4.8 cal/s
(3) 6.0 cal/s
(4) 1.2 cal/s
89. ãæ§ÇþUæðÁÙ (1H1), Ç÷UØêÅðUçÚUØ× (1H2), °·¤Ïæ ¥æØçÙÌ
ãèçÜØ× (2He4)1 ¥æñÚU çmÏæ ¥æØçÙÌ ÜèçÍØ×
(3Li6)11 âÖè ×ð´ °·¤ §Üð€ÅþUæòÙ ÙæçÖ·¤ ·ð¤ ¿æÚUæð´
¥æðÚU ãñ´Ð n52 âð n51 ·ð¤ §Üð€ÅþUæòÙ â´·ý¤×‡æ ÂÚU
çß¿æÚU ·¤èçÁØðÐ ØçÎ ©ˆâçÁüÌ çßç·¤ÚU‡æ ·¤è ÌÚ´U»ÎñƒØü
·ý¤×àæÑ l1, l2, l3 °ß´l4 ãñ´, ÌÕ çِÙçÜç¹Ì âÕ‹Ïæð´
×ð´ âð ·¤æñÙ âæ ֻܻ âãè ãñ?
(1) l152l252l35l4
(2) l15l254l359l4
(3) l152l253l354l4
(4) 4l152l252l35l4

38. 90. When a rubber-band is stretched by a
distance x, it exerts a restoring force of
magnitude F5ax1bx2 where a and b are
constants. The work done in stretching
the unstretched rubber-band by L is :
(1)
1
2
(aL21bL3)
(2)
2 3
aL bL
2 3
1
(3)
2 3
1 aL bL
2 2 3
Ë ÛÜÌ ÜÌ ÜÌ ÜÜÌÍ Ý
1
(4) aL21bL3
- o 0 o -
F/Page 38
SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
90. ÁÕ °·¤ ÚUÕǸ ·ð¤ ÀUËÜð ·¤æð x ÎêÚUè Ì·¤ ÌæçÙÌ ç·¤Øæ
ÁæÌæ ãñ; ÌÕ ÂçÚU×æ‡æ F5ax1bx2 ·¤æ °·¤ ÂýˆØÙØÙ
ÕÜ Ü»Ìæ ãñ Áãæ¡ a °ß´ b çSÍÚUæ´·¤ ãñ´Ð çÕÙæ ÌæçÙÌ
ÚUÕǸ ·ð¤ ÀUËÜð ·¤æð L âð ÌæçÙÌ ·¤ÚUÙð ×ð´ ç·¤Øæ »Øæ
·¤æØü ãñ Ñ
(1)
1
2
(aL21bL3)
(2)
2 3
aL bL
2 3
1
(3)
2 3
1 aL bL
2 2 3
Ë ÛÜÌ ÜÌ ÜÌ ÜÜÌÍ Ý
1
(4) aL21bL3
- o 0 o -

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

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 (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 a 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 Item 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
hall/room.
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. ÂêÀðU 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
F/Page 40