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![E/Page 20 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
40. 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] [B]
(2)
dc
dt
5k[A]2 [B]
(3)
dc
dt
5k[A] [B]2
(4)
dc
dt
5k[A]
41. Among the following oxoacids, the correct
decreasing order of acid strength is :
(1) HOCl > HClO2 > HClO3 > HClO4
(2) HClO4 > HOCl > HClO2 > HClO3
(3) HClO4 > HClO3 > HClO2 > HOCl
(4) HClO2 > HClO4 > HClO3 > HOCl
42. The metal that cannot be obtained by
electrolysis of an aqueous solution of its
salts is :
(1) Ag
(2) Ca
(3) Cu
(4) Cr
40. ÚUâæØçÙ·¤Ìæ çÚU€Ì ¥çÖç·ý¤Øæ 2A1B ® C1D ×ð´
ÌèÙ ÂëÍ·¤ ÂýØæð»æð´ ×ð´ 298 K ÂÚU çÙÙ »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] [B]
(2)
dc
dt
5k[A]2 [B]
(3)
dc
dt
5k[A] [B]2
(4)
dc
dt
5k[A]
41. çÙÙ ¥æ€âæð ¥Üæð´ ·ð¤ çÜØð ¥Ü àæç€Ì ·¤æ ØÍæÍü
ƒæÅUÌæ ·ý¤× ãæð»æ Ñ
(1) HOCl > HClO2 > HClO3 > HClO4
(2) HClO4 > HOCl > HClO2 > HClO3
(3) HClO4 > HClO3 > HClO2 > HOCl
(4) HClO2 > HClO4 > HClO3 > HOCl
42. ÏæÌé Áæð ¥ÂÙð Ü߇ææð´ ·ð¤ ÁÜèØ çßÜØÙæð´ ·ð¤
§Üñ€ÅþUæÜðçââ (çßléÌ ¥ÂƒæÅUÙ) âð ÂýæŒÌ Ùãè´ ãæð
â·¤Ìè ãæðÌè ãñ Ñ
(1) Ag
(2) Ca
(3) Cu
(4) Cr](https://image.slidesharecdn.com/06-150313233700-conversion-gate01/85/06-04-2014-e-20-320.jpg)
![SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 23
49. Which series of reactions correctly
represents chemical relations related to
iron and its compound ?
(1) 2 4 2 4 2dil H SO H SO , O
4Fe FeSO£££££“ £££££“
heat
2 4 3Fe (SO ) Fe£££“
(2) 2 2 4O , heat dil H SO
Fe FeO££££“ £££££“
heat
4FeSO Fe£££“
(3) 2Cl , heat heat, air
3Fe FeCl£££££“ ££££“
Zn
2FeCl Fe££“
(4) 2O , heat CO, 600 C
3 4Fe Fe O££££“ £££££“
8
CO, 700 C
FeO Fe£££££“
8
50. The equation which is balanced and
represents the correct product(s) is :
(1) Li2O12KCl ® 2LiCl1K2O
(2) [CoCl(NH3)5]115H1®Co21
15 4NH1
1Cl2
(3) [ 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
(4) CuSO414KCN®K2[Cu(CN)4]
1K2SO4
49. §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 4 2 4 2H SO H SO , O
4Fe FeSO£££££“ £££££“
±¾Î
2 4 3Fe (SO ) Fe£££“
±Ë§
(2) 2 2 4O , H SO
Fe FeO££££“ £££££“
±Ë§ ±¾Î
4FeSO Fe£££“
±Ë§
(3) 2Cl ,
3Fe FeCl££££“ ££££“
±Ë§ ±Ë§, Ä˽Î
Zn
2FeCl Fe££“
(4) 2O , CO, 600 C
3 4Fe Fe O££££“ £££££“
8±Ë§
CO, 700 C
FeO Fe£££££“
8
50. â×è·¤ÚU‡æ Áæð â´ÌéçÜÌ ãñ ¥æñÚU ØÍæÍü ç·ý¤Øæ ȤÜæð´ ·¤è
âê¿·¤ ãñ, ãñ Ñ
(1) Li2O12KCl ® 2LiCl1K2O
(2) [CoCl(NH3)5]115H1®Co21
15 4NH1
1Cl2
(3) [ 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
(4) CuSO414KCN®K2[Cu(CN)4]
1K2SO4](https://image.slidesharecdn.com/06-150313233700-conversion-gate01/85/06-04-2014-e-23-320.jpg)
![E/Page 28 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
PART C — MATHEMATICS Öæ» C — »ç‡æÌ
61. 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) X
(2) Y
(3) N
(4) Y2X
62. If z is a complex number such that ?z?/2,
then the minimum value of
1
z
2
1 :
(1) is strictly greater than
5
2
(2) is strictly greater than
3
2
but less
than
5
2
(3) is equal to
5
2
(4) lies in the interval (1, 2)
63. 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) (22, 21)
(2) (2:, 22) È (2, :)
(3) (21, 0) È (0, 1)
(4) (1, 2)
61. ØçÎ X5{4n23n21 : n e N} ÌÍæ
Y5{9(n21) : n e N} ãñ´, Áãæ¡ N, Âýæ·ë¤Ì â´Øæ¥æð´
·¤æ â×é“æØ ãñ, Ìæð XÈY ÕÚUæÕÚU ãñ Ñ
(1) X
(2) Y
(3) N
(4) Y2X
62. ØçÎ z °·¤ °ðâè âçןæ â´Øæ ãñ ç·¤ ?z?/2 ãñ, Ìæð
1
z
2
1 ·¤æ ‹ØêÙÌ× ×æÙ Ñ
(1)
5
2
âð çÙÚ´UÌÚU ÕǸæ ãñÐ
(2)
3
2
âð çÙÚ´UÌÚU ÕǸæ ãñ ÂÚU‹Ìé
5
2
âð ·¤× ãñÐ
(3)
5
2
·ð¤ ÕÚUæÕÚU ãñÐ
(4) ¥´ÌÚUæÜ (1, 2) ×ð´ çSÍÌ ãñÐ
63. 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) (22, 21)
(2) (2:, 22) È (2, :)
(3) (21, 0) È (0, 1)
(4) (1, 2)](https://image.slidesharecdn.com/06-150313233700-conversion-gate01/85/06-04-2014-e-28-320.jpg)
![SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 31
70.
2
20
sin ( cos )
x
x
lim
x
p
“
is equal to :
(1) 2p
(2) p
(3)
2
p
(4) 1
71. 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)
{ }5
1
1 ( )g x1
(2) 11{g(x)}5
(3) 11x5
(4) 5x4
72. 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)5g9(c)
(2) f 9(c)52g9(c)
(3) 2f 9(c)5g9(c)
(4) 2f 9(c)53g9(c)
70.
2
20
sin ( cos )
x
x
lim
x
p
“
·¤æ ×æÙ ãñ Ñ
(1) 2p
(2) p
(3)
2
p
(4) 1
71. 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)
{ }5
1
1 ( )g x1
(2) 11{g(x)}5
(3) 11x5
(4) 5x4
72. 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)5g9(c)
(2) f 9(c)52g9(c)
(3) 2f 9(c)5g9(c)
(4) 2f 9(c)53g9(c)](https://image.slidesharecdn.com/06-150313233700-conversion-gate01/85/06-04-2014-e-31-320.jpg)
06.04.2014 e
- 1. This booklet contains40 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 ÙÕÚU 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 Physics, Chemistry and Mathematics 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 E. 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´ ÖæñçÌ·¤ çß™ææÙ, ÚUâæØÙ çß™ææÙ °ß´ »ç‡æÌ ·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 çÙÎðüàæÙ â´Øæ 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 E 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РTest Booklet Code ÂÚèÿææ ÂéçSÌ·¤æ â´·ð¤Ì E PAPER - 1 : PHYSICS, CHEMISTRY & MATHEMATICS ÂýàÙÂéçSÌ·¤æ - 1 : ÖæñçÌ·¤ çß™ææÙ, ÚUâæØÙ çß™ææÙ ÌÍæ »ç‡æÌ RST
- 2. E/Page 2 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã PART A — PHYSICS Öæ» A — ÖæñçÌ·¤ çß™ææÙ 1. 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) 0.2 mA (2) 0.02 mA (3) 0.5 mA (4) 0.05 mA 2. 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) 2 g H5n2u2 (2) g H5(n22)2u2 (3) 2 g H5nu2(n22) (4) g H5(n22)u2 1. °·¤ ÇUæØæðÇU ·¤è ÏæÚUæ-ßæðËÅUÌæ âÕ‹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) 0.2 mA (2) 0.02 mA (3) 0.5 mA (4) 0.05 mA 2. ª¡¤¿æ§ü H ·¤è °·¤ ×èÙæÚU âð, ¿æÜ u âð °·¤ ·¤‡æ ·¤æ𠪤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¿ âÕ‹Ï ãñ Ñ (1) 2 g H5n2u2 (2) g H5(n22)2u2 (3) 2 g H5nu2(n22) (4) g H5(n22)u2
- 3. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 3 3. 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) 2g 3 (2) g 2 (3) 5g 6 (4) g 4. 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) 1 m 6 (2) 2 m 3 (3) 1 m 3 (4) 1 m 2 3. 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×æ٠緤⠈ßÚU‡æ âð ç»ÚðU»æ? (1) 2g 3 (2) g 2 (3) 5g 6 (4) g 4. °·¤ 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) 1 m 6 (2) 2 m 3 (3) 1 m 3 (4) 1 m 2
- 4. E/Page 4 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 5. 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) aL21bL3 (2) 1 2 (aL21bL3) (3) 2 3 aL bL 2 3 1 (4) 2 3 1 aL bL 2 2 3 Ë ÛÜÌ ÜÌ ÜÌ ÜÜÌÍ Ý 1 6. 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 is conserved. (2) angular momentum changes in magnitude but not in direction. (3) angular momentum changes in direction but not in magnitude. (4) angular momentum changes both in direction and magnitude. 5. 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) aL21bL3 (2) 1 2 (aL21bL3) (3) 2 3 aL bL 2 3 1 (4) 2 3 1 aL bL 2 2 3 Ë ÛÜÌ ÜÌ ÜÌ ÜÜÌÍ Ý 1 6. ÜÕæ§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» â´ÚUçÿæÌ ÚUãÌæ ãñÐ (2) ·¤æð‡æèØ â´ßð» ÂçÚU×æ‡æ ×ð´ ÂçÚUßÌüÙàæèÜ ãñ´ ÂÚU‹Ìé çÎàææ ×ð´ Ùãè´Ð (3) ·¤æð‡æèØ â´ßð» çÎàææ ×ð´ ÂçÚUßÌüÙàæèÜ ãñ ÂÚU‹Ìé ÂçÚU×æ‡æ ×ð´ Ùãè´Ð (4) ·¤æð‡æèØ â´ßð» ÎæðÙæð´ çÎàææ °ß´ ÂçÚ×æ‡æ ×ð´ ÂçÚUUßÌüÙàæèÜ ãñÐ
- 5. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 5 7. 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 R (2) GM 2 2 R (3) ( )GM 1 2 2 R 1 (4) ( )1 GM 1 2 2 2 R 1 8. 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) 2.23108 Pa (2) 2.23109 Pa (3) 2.23107 Pa (4) 2.23106 Pa 7. 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 R (2) GM 2 2 R (3) ( )GM 1 2 2 R 1 (4) ( )1 GM 1 2 2 2 R 1 8. 10 cm ÜÕæ§ü ·ð¤ °·¤ SÅUèÜ ·ð¤ ÌæÚU ·ð¤ çâÚUæð ÂÚU ÁÕ ÌæÂ×æÙ ×ð´ ßëçh 1008C ·¤è ÁæÌè ãñ´ ÌÕ §â·¤è ÜÕæ§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) 2.23108 ÂæS·¤Ü (2) 2.23109 ÂæS·¤Ü (3) 2.23107 ÂæS·¤Ü (4) 2.23106 ÂæS·¤Ü
- 6. E/Page 6 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 9. 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 sin 1 sin 1 a 2 a (2) 1 cos 1 cos 1 a 2 a (3) 1 tan 1 tan 1 a 2 a (4) 1 sin 1 cos 1 a 2 a 9. °·¤ 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 sin 1 sin 1 a 2 a (2) 1 cos 1 cos 1 a 2 a (3) 1 tan 1 tan 1 a 2 a (4) 1 sin 1 cos 1 a 2 a
- 7. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 7 10. 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 3 T r (2) w2 g R 6 T r (3) w2 g R T r (4) w2 3 g R T r 10. 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 3 T r (2) w2 g R 6 T r (3) w2 g R T r (4) w2 3 g R T r
- 8. E/Page 8 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 11. 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) 1.2 cal/s (2) 2.4 cal/s (3) 4.8 cal/s (4) 6.0 cal/s 12. 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 whole cyclic process is 250 R. (2) The change in internal energy in the process CA is 700 R. (3) The change in internal energy in the process AB is 2350 R. (4) The change in internal energy in the process BC is 2500 R. 11. 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 ÜÕæ§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) 1.2 cal/s (2) 2.4 cal/s (3) 4.8 cal/s (4) 6.0 cal/s 12. 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) âÂê‡æü ¿·ý¤èØ Âýç·ý¤Øæ ×ð´ ¥æ‹ÌçÚU·¤ ª¤Áæü ×ð´ ÂçÚUßÌüÙ 250 R ãñÐ (2) Âýç·ý¤Øæ CA ×ð´ ¥æ‹ÌçÚU·¤ ª¤Áæü ×ð´ ÂçÚUßÌüÙ 700 R ãñÐ (3) Âýç·ý¤Øæ AB ×ð´ ¥æ‹ÌçÚU·¤ ª¤Áæü ×ð´ ÂçÚUßÌüÙ 2350 R ãñÐ (4) Âýç·ý¤Øæ BC ×ð´ ¥æ‹ÌçÚU·¤ ª¤Áæü ×ð´ ÂçÚUßÌüÙ 2500 R ãñÐ
- 9. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 9 13. 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) 16 cm (2) 22 cm (3) 38 cm (4) 6 cm 14. 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) amplitude of motion is 3a (2) time period of oscillations is 8t (3) amplitude of motion is 4a (4) time period of oscillations is 6t 15. 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) 12 (2) 8 (3) 6 (4) 4 13. °·¤ 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 ÜÕæ§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 SÌÖ ·¤è ÜÕæ§ü ¥Õ €Øæ ãæð»è? (ßæØé×´ÇUÜèØ ÎæÕ5Hg ·¤æ 76 cm) (1) 16 cm (2) 22 cm (3) 38 cm (4) 6 cm 14. °·¤ ·¤‡æ °·¤ âÚUÜ ÚðU¹æ ×ð´ âÚUÜ ¥æßÌü »çÌ âð »çÌàæèÜ ãñÐ Øã çßÚUæ×æßSÍæ âð ÂýæÚUÖ ·¤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) »çÌ ·¤æ ¥æØæ× 3a ãñÐ (2) ÎæðÜÙæð´ ·¤æ ¥æßÌü ·¤æÜ 8t ãñÐ (3) »çÌ ·¤æ ¥æØæ× 4a ãñÐ (4) ÎæðÜÙæð´ ·¤æ ¥æßÌü ·¤æÜ 6t ãñÐ 15. ÜÕæ§ü 85 cm ·ð¤ °·¤ Âæ§Â ·ð¤ °·¤ çâÚðU ·¤æð Õ‹Î ·¤ÚU çÎØæ ÁæÌæ ãñÐ Âæ§Â ×ð´ ßæØé SÌÖ ·ð¤ âÖß Âýæ·ë¤çÌ·¤ ÎæðÜÙæð ·¤è ßã â´Øæ çÙ·¤æçÜ°ð çÁÙ·¤è ¥æßëçžæ 1250 Hz âð ·¤× ãñÐ ßæØé ×ð´ ŠßçÙ ·¤æ ßð» 340 m/s ãñÐ (1) 12 (2) 8 (3) 6 (4) 4
- 10. E/Page 10 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 16. 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) 120 J (2) 2120 J (3) 280 J (4) 80 J 17. 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) 631027 C/m2 (2) 331027 C/m2 (3) 33104 C/m2 (4) 63104 C/m2 18. 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) 8 A (2) 10 A (3) 12 A (4) 14 A 16. ×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) 120 J (2) 2120 J (3) 280 J (4) 80 J 17. 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) 631027 C/m2 (2) 331027 C/m2 (3) 33104 C/m2 (4) 63104 C/m2 18. °·¤ 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¤ ×éØ Øê$Á ·¤è ‹ØêÙÌ× ÿæ×Ìæ ãæð»è Ñ (1) 8 A (2) 10 A (3) 12 A (4) 14 A
- 11. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 11 19. 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) 1.57 W (2) 2.97 W (3) 14.85 W (4) 29.7 W 20. 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) 30 mA (2) 60 mA (3) 3 A (4) 6 A 19. °·¤ 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) 1.57 W (2) 2.97 W (3) 14.85 W (4) 29.7 W 20. °·¤ ÀUæðÅðU ¿éÕ·¤ ·¤è çÙ»ýæçãÌæ, Áãæ¡ Üæðã¿éÕ·¤ ¥¿éÕ·¤èØ ãæð ÁæÌæ ãñ, 33103 A m21 ãñÐ ¿·ý¤æð´ ·¤è â´Øæ100 °ß´ ÜÕæ§ü10 cm ·¤è °·¤ ÂçÚUÙæçÜ·¤æ âð ÂýßæçãÌ ¥æßàØ·¤ ÏæÚUæ ·¤æ ×æÙ, çÁââð ç·¤ ¿éÕ·¤ ÂçÚUÙæçÜ·¤æ ·ð¤ ¥‹ÎÚU ãæðÙð ÂÚU ¥¿éÕ·¤èØ ãæð ÁæØð, ãñ Ñ (1) 30 mA (2) 60 mA (3) 3 A (4) 6 A
- 12. E/Page 12 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 21. 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) e 1 e2 (2) 1 (3) 21 (4) 1 e e 2 22. During the propagation of electromagnetic waves in a medium : (1) Electric energy density is double of the magnetic energy density. (2) Electric energy density is half of the magnetic energy density. (3) Electric energy density is equal to the magnetic energy density. (4) Both electric and magnetic energy densities are zero. 21. 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) e 1 e2 (2) 1 (3) 21 (4) 1 e e 2 22. °·¤ ×æŠØ× ×ð´ çßléÌ ¿éÕ·¤èØ ÌÚ´U»æð´ ·ð¤ â´¿ÚU‡æ ·ð¤ ÎæñÚUæÙ Ñ (1) çßléÌèØ ª¤Áæü ƒæÙˆß ¿éÕ·¤èØ ª¤Áæü ƒæÙˆß ·¤æ Îæð»éÙæ ãñÐ (2) çßléÌèØ ª¤Áæü ƒæÙˆß ¿éÕ·¤èØ ª¤Áæü ƒæÙˆß ·¤æ ¥æÏæ ãñÐ (3) çßléÌèØ ª¤Áæü ƒæÙˆß ¿éÕ·¤èØ ª¤Áæü ƒæÙˆß ·ð¤ ÕÚUæÕÚU ãñÐ (4) ÎæðÙæð´ çßléÌèØ °ß´ ¿éÕ·¤èØ ª¤Áæü ƒæÙˆß àæê‹Ø ãñÐ
- 13. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 13 23. 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) f15f2 < f (2) f1 > f and f2 becomes negative (3) f2 > f and f1 becomes negative (4) f1 and f2 both become negative 24. A green light is incident from the water to the air - water interface at the critical angle(u). Select the correct statement. (1) The entire spectrum of visible light will come out of the water at an angle of 908 to the normal. (2) The spectrum of visible light whose frequency is less than that of green light will come out to the air medium. (3) The spectrum of visible light whose frequency is more than that of green light will come out to the air medium. (4) The entire spectrum of visible light will come out of the water at various angles to the normal. 23. ·ý¤æ©Ù ·¤æ¡¿ 3 2 Ë ÛÜÌ ÜÌ ÜÌÍ Ý m 5 âð ÕÙð °·¤ ÂÌÜð ©žæÜ Üð‹â ·¤è Ȥæð·¤â ÜÕæ§ü f ãñÐ ÁÕ §âð ¥ÂßÌüÙæ´·¤ 4 3 °ß´ 5 3 ßæÜð Îæð çÖóæ Îýßæð´ ×ð´ ÚU¹·¤ÚU ×æÂæ ÁæÌæ ãñ, ÌÕ È¤æð·¤â ÜÕæ§Øæ¡ ·ý¤×àæÑ f1 °ß´ f2 ãñ´Ð Ȥæð·¤â ÜÕæ§Øæð´ ·ð¤ Õè¿ âãè âÕ‹Ï ãñ Ñ (1) f15f2 < f (2) f1> f ¥æñÚU f2 «¤‡ææˆ×·¤ ãæð ÁæÌæ ãñÐ (3) f2> f ¥æñÚU f1 «¤‡ææˆ×·¤ ãæð ÁæÌæ ãñÐ (4) f1 °ß´ f2 ÎæðÙæð´ «¤‡ææˆ×·¤ ãæð ÁæÌð ãñ´Ð 24. °·¤ 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) ¥çÖÜÕ âð 908 ·¤æð‡æ ÂÚU ÂæÙè âð ÎëàØ Âý·¤æàæ ·¤æ âÂê‡æü SÂð€ÅþU× ÕæãÚU çÙ·¤Üð»æÐ (2) 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 (3) 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 (4) ÎëàØ Âý·¤æàæ ·¤æ âÂê‡æü SÂð€ÅþU× ÂæÙè âð ¥çÖÜÕ âð çßçÖóæ ·¤æð‡ææð´ ÂÚU ÕæãÚU çÙ·¤Üð»æÐ
- 14. E/Page 14 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 25. 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) 3 2 (3) 1 (4) 1 3 26. 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) 1.8 eV (2) 1.1 eV (3) 0.8 eV (4) 1.6 eV 25. Ïýéß‡æ ·ð¤ ¥‹Øæð‹Ø ÜÕßÌ÷ 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 ÂýæÚUçÖ·¤ ÌèßýÌæ°¡ ·ý¤×àæÑ IA °ß´ IB ãñ´, ÌÕ A B I I ·¤æ ×æÙ ãñ Ñ (1) 3 (2) 3 2 (3) 1 (4) 1 3 26. 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¤ °·¤ ¿éÕ·¤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) 1.8 eV (2) 1.1 eV (3) 0.8 eV (4) 1.6 eV
- 15. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 15 27. 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) 4l152l252l35l4 (2) l152l252l35l4 (3) l15l254l359l4 (4) l152l253l354l4 28. The forward biased diode connection is : (1) (2) (3) (4) 27. 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 çÙÙçÜç¹Ì âÕ‹Ïæð´ ×ð´ âð ·¤æñÙ âæ ֻܻ âãè ãñ? (1) 4l152l252l35l4 (2) l152l252l35l4 (3) l15l254l359l4 (4) l152l253l354l4 28. ¥»ýçâÌ ÕæØâ ßæÜæ ÇUæØæðǸ ÁæðǸ ãñ Ñ (1) (2) (3) (4)
- 16. E/Page 16 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 29. 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) (iv) (iii) (ii) (i) (2) (i) (ii) (iv) (iii) (3) (iii) (ii) (i) (iv) (4) (i) (ii) (iii) (iv) 30. 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 meter scale. (2) 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. (3) A screw gauge having 100 divisions in the circular scale and pitch as 1 mm. (4) A screw gauge having 50 divisions in the circular scale and pitch as 1 mm. 29. âê¿è - I (çßléÌ ¿éÕ·¤èØ ÌÚ´U» Âý·¤æÚU) ·¤æð âê¿è - II (§Ùâð âÕçhÌ/¥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) (iv) (iii) (ii) (i) (2) (i) (ii) (iv) (iii) (3) (iii) (ii) (i) (iv) (4) (i) (ii) (iii) (iv) 30. °·¤ çßlæÍèü Ùð °·¤ ÀUǸ ·¤è ÜÕæ§ü ×æ·¤ÚU 3.50 cm çܹèÐ §â·¤æð ×æÂÙð ×ð´ ©âÙð 緤⠩·¤ÚU‡æ ·¤æ ÂýØæð» ç·¤Øæ? (1) °·¤ ×èÅUÚU S·ð¤ÜÐ (2) °·¤ ßçÙüØÚU ·ñ¤çÜÂâü Áãæ¡ ßçÙüØÚU S·ð¤Ü ·ð¤ 10 Öæ» ×éØ S·ð¤Ü ·ð¤ 9 Öæ»æð´ âð ç×ÜÌð ãñ´ ¥æñÚU ×éØ S·ð¤Ü ·ð¤ 1 cm ×ð´ 10 Öæ» ãñ´Ð (3) °·¤ S·ýê¤ »ð$Á çÁâ·ð¤ ßçÙüØÚU S·ð¤Ü ×ð´ 100 Öæ» ãñ´ ¥æñÚU ç¿ 1 mm ãñÐ (4) °·¤ S·ýê¤ »ð$Á çÁâ·ð¤ ßçÙüØÚU S·ð¤Ü ×ð´ 50 Öæ» ãñ´ ¥æñÚU ç¿ 1 mm ãñÐ
- 17. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 17 PART B — CHEMISTRY Öæ» B — ÚUâæØÙ çß™ææÙ 31. The correct set of four quantum numbers for the valence electrons of rubidium atom (Z537) is : (1) 5, 0, 0, 1 2 1 (2) 5, 1, 0, 1 2 1 (3) 5, 1, 1, 1 2 1 (4) 5, 0, 1, 1 2 1 32. If Z is a compressibility factor, van der Waals equation at low pressure can be written as : (1) Z511 RT Pb (2) Z512 a VRT (3) Z512 Pb RT (4) Z511 Pb RT 33. CsCl crystallises in body centred cubic lattice. If ‘a’ is its edge length then which of the following expressions is correct ? (1) Cs Cl r r 3a1 21 5 (2) Cs Cl 3a r r 2 1 21 5 (3) Cs Cl 3 r r a 2 1 21 5 (4) Cs Cl r r 3a1 21 5 31. M¤çÕçÇUØ× ÂÚU×æ‡æé(Z537) ·ð¤ çÜØð ßðÜñ‹âè §Üñ€ÅþUæòÙæ𴠷𤠩ç¿Ì ¿æÚU €ßæ‹ÅU× ÙÕÚUæð´ ·¤æ âðÅU ãæðÌæ ãñ Ñ (1) 5, 0, 0, 1 2 1 (2) 5, 1, 0, 1 2 1 (3) 5, 1, 1, 1 2 1 (4) 5, 0, 1, 1 2 1 32. ØçÎ Z â´ÂèǸ٠»é‡æ·¤ ãæð Ìæð ·¤× ÎæÕ ÂÚU ßæ´ÇUÚßæËâ â×è·¤ÚU‡æ ·¤æð çܹæ Áæ â·¤Ìæ ãñ Ñ (1) Z511 RT Pb (2) Z512 a VRT (3) Z512 Pb RT (4) Z511 Pb RT 33. CsCl ·¤æØ ·ð¤ç‹ÎýÌ ƒæÙæ·¤ÚU ÁæÜ·¤ ×ð´ ç·ý¤SÅUçÜÌ ãæðÌæ ãñÐ ØçÎ ç·¤ÙæÚðU ·¤è ÜÕæ§ü ‘a’ ãæð Ìæð çÙÙ âê˜ææð´ ×ð´ âð ·¤æñÙ-âæ ÆUè·¤ ãæð»æ? (1) Cs Cl r r 3a1 21 5 (2) Cs Cl 3a r r 2 1 21 5 (3) Cs Cl 3 r r a 2 1 21 5 (4) Cs Cl r r 3a1 21 5
- 18. E/Page 18 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 34. 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) 6% (2) 10% (3) 3% (4) 5% 35. 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) 531024 (2) 531023 (3) 53103 (4) 53102 36. 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) 21366.95 kJ mol21 (2) 21361.95 kJ mol21 (3) 21460.50 kJ mol21 (4) 21350.50 kJ mol21 34. 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 âËØêçÚU·¤ ¥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) 6% (2) 10% (3) 3% (4) 5% 35. °·¤ 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) 531024 (2) 531023 (3) 53103 (4) 53102 36. °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) 21366.95 kJ mol21 (2) 21361.95 kJ mol21 (3) 21460.50 kJ mol21 (4) 21350.50 kJ mol21
- 19. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 19 37. 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:1(B)C (2) lC5l:2(B)C (3) lC5l:2(B) C (4) lC5l:1(B) C 38. 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) They all have the same osmotic pressure. (2) 0.100 M Mg3(PO4)2(aq) has the highest osmotic pressure. (3) 0.125 M Na3PO4(aq) has the highest osmotic pressure. (4) 0.500 M C2H5OH(aq) has the highest osmotic pressure. 39. 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) 21 (2) 1 2 2 (3) 1 2 (4) 1 37. 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 âÕ‹Ï çܹæ Áæ â·¤Ìæ ãñ Ñ (B °·¤ çSÍÚU ¥´·¤ ãñ) (1) lC5l:1(B)C (2) lC5l:2(B)C (3) lC5l:2(B) C (4) lC5l:1(B) C 38. 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° çÙÙ ·¤ÍÙæð´ ×ð´ âð ·¤æñÙ-âæ ·¤ÍÙ ØÍæÍü ãñ? (1) §Ù âÕ ·ð¤ çÜØð ¥æâ×æçÅU·¤ ÎæÕ ·ð¤ ×æÙ â×æÙ ãæð»æÐ (2) 0.100 M Mg3(PO4)2 (ÁÜèØ) ·¤æ ¥æâ×æçÅU·¤ ÎæÕ ©“æÌ× ãæð»æÐ (3) 0.125 M Na3PO4 (ÁÜèØ) ·¤æ ¥æâ×æçÅU·¤ ÎæÕ ©“æÌ× ãæð»æÐ (4) 0.500 M C2H5OH(ÁÜèØ) ·¤æ ¥æâ×æçÅU·¤ ÎæÕ ©“æÌ× ãæð»æÐ 39. ¥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) 21 (2) 1 2 2 (3) 1 2 (4) 1
- 20. E/Page 20 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 40. 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] [B] (2) dc dt 5k[A]2 [B] (3) dc dt 5k[A] [B]2 (4) dc dt 5k[A] 41. Among the following oxoacids, the correct decreasing order of acid strength is : (1) HOCl > HClO2 > HClO3 > HClO4 (2) HClO4 > HOCl > HClO2 > HClO3 (3) HClO4 > HClO3 > HClO2 > HOCl (4) HClO2 > HClO4 > HClO3 > HOCl 42. The metal that cannot be obtained by electrolysis of an aqueous solution of its salts is : (1) Ag (2) Ca (3) Cu (4) Cr 40. ÚUâæØçÙ·¤Ìæ çÚU€Ì ¥çÖç·ý¤Øæ 2A1B ® C1D ×ð´ ÌèÙ ÂëÍ·¤ ÂýØæð»æð´ ×ð´ 298 K ÂÚU çÙÙ »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] [B] (2) dc dt 5k[A]2 [B] (3) dc dt 5k[A] [B]2 (4) dc dt 5k[A] 41. çÙÙ ¥æ€âæð ¥Üæð´ ·ð¤ çÜØð ¥Ü àæç€Ì ·¤æ ØÍæÍü ƒæÅUÌæ ·ý¤× ãæð»æ Ñ (1) HOCl > HClO2 > HClO3 > HClO4 (2) HClO4 > HOCl > HClO2 > HClO3 (3) HClO4 > HClO3 > HClO2 > HOCl (4) HClO2 > HClO4 > HClO3 > HOCl 42. ÏæÌé Áæð ¥ÂÙð Ü߇ææð´ ·ð¤ ÁÜèØ çßÜØÙæ𴠷𤠧Üñ€ÅþUæÜðçââ (çßléÌ ¥ÂƒæÅUÙ) âð ÂýæŒÌ Ùãè´ ãæð â·¤Ìè ãæðÌè ãñ Ñ (1) Ag (2) Ca (3) Cu (4) Cr
- 21. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 21 43. 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) L4 < L3 < L2 < L1 (2) L1 < L3 < L2 < L4 (3) L3 < L2 < L4 < L1 (4) L1 < L2< L4 < L3 44. Which one of the following properties is not shown by NO ? (1) It is diamagnetic in gaseous state (2) It is a neutral oxide (3) It combines with oxygen to form nitrogen dioxide (4) It’s bond order is 2.5 45. 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) (a), (b) (2) (c), (d) (3) (a), (c) (4) (b), (d) 43. 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) L4 < L3 < L2 < L1 (2) L1 < L3 < L2 < L4 (3) L3 < L2 < L4 < L1 (4) L1 < L2< L4 < L3 44. NO ·¤æñÙ-âæ çÙÙ »é‡æ ÂýÎçàæüÌ Ùãè´ ·¤ÚUÌæ ãñ? (1) »ñâèØ ¥ßSÍæ ×ð´ ÂýçÌ¿éÕ·¤èØ ãñÐ (2) Øã °·¤ ©ÎæâèÙ ¥æò€âæ§ÇU ãñÐ (3) Øã ¥æò€âèÁÙ âð Øæð» ·¤ÚU Ùæ§ÅþUæðÁÙ ÇUæ§ü¥æò€âæ§ÇU ÕÙæÌæ ãñÐ (4) §â·¤è Õ‹Ï ·¤æðçÅU 2.5 ãñÐ 45. çÙÙ ç·¤Ù ¥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) (a), (b) (2) (c), (d) (3) (a), (c) (4) (b), (d)
- 22. E/Page 22 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 46. The correct statement for the molecule, CsI3, is : (1) it is a covalent molecule. (2) it contains Cs1 and 3I 2 ions. (3) it contains Cs31 and I2 ions. (4) it contains Cs1, I2 and lattice I2 molecule. 47. 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) 1 : 4 (2) 7 : 32 (3) 1 : 8 (4) 3 : 16 48. 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 not occur (2) 22.69 V ; the reaction will occur (3) 20.33 V ; the reaction will not occur (4) 20.33 V ; the reaction will occur 46. CsI3 ¥‡æé ·ð¤ çÜØð ØÍæÍü ·¤ÍÙ ãæð»æ Ñ (1) Øã °·¤ âãâ´ØæðÁ·¤è ¥‡æé ãñÐ (2) §â×ð´ Cs1 ¥æñÚU 3I 2 ¥æØÙ ãæðÌð ãñ´Ð (3) §â×ð´ Cs31 ¥æñÚU I2 ¥æØÙ ãæðÌð ãñ´Ð (4) §â×ð´ Cs1, I2 ¥æñÚU I2 ÁæÜ·¤ ãæðÌð ãñ´Ð 47. °·¤ 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 â´Øæ¥æð´ ·¤æ ¥ÙéÂæÌ ãæð»æ Ñ (1) 1 : 4 (2) 7 : 32 (3) 1 : 8 (4) 3 : 16 48. 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 Ùãè´ ãæð»èÐ (2) 22.69 V ; ¥çÖç·ý¤Øæ ãæð»èÐ (3) 20.33 V ; ¥çÖç·ý¤Øæ Ùãè´ ãæð»èÐ (4) 20.33 V ; ¥çÖç·ý¤Øæ ãæð»èÐ
- 23. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 23 49. Which series of reactions correctly represents chemical relations related to iron and its compound ? (1) 2 4 2 4 2dil H SO H SO , O 4Fe FeSO£££££“ £££££“ heat 2 4 3Fe (SO ) Fe£££“ (2) 2 2 4O , heat dil H SO Fe FeO££££“ £££££“ heat 4FeSO Fe£££“ (3) 2Cl , heat heat, air 3Fe FeCl£££££“ ££££“ Zn 2FeCl Fe££“ (4) 2O , heat CO, 600 C 3 4Fe Fe O££££“ £££££“ 8 CO, 700 C FeO Fe£££££“ 8 50. The equation which is balanced and represents the correct product(s) is : (1) Li2O12KCl ® 2LiCl1K2O (2) [CoCl(NH3)5]115H1®Co21 15 4NH1 1Cl2 (3) [ 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 (4) CuSO414KCN®K2[Cu(CN)4] 1K2SO4 49. §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 4 2 4 2H SO H SO , O 4Fe FeSO£££££“ £££££“ ±¾Î 2 4 3Fe (SO ) Fe£££“ ±Ë§ (2) 2 2 4O , H SO Fe FeO££££“ £££££“ ±Ë§ ±¾Î 4FeSO Fe£££“ ±Ë§ (3) 2Cl , 3Fe FeCl££££“ ££££“ ±Ë§ ±Ë§, Ä˽ΠZn 2FeCl Fe££“ (4) 2O , CO, 600 C 3 4Fe Fe O££££“ £££££“ 8±Ë§ CO, 700 C FeO Fe£££££“ 8 50. â×è·¤ÚU‡æ Áæð â´ÌéçÜÌ ãñ ¥æñÚU ØÍæÍü ç·ý¤Øæ ȤÜæð´ ·¤è âê¿·¤ ãñ, ãñ Ñ (1) Li2O12KCl ® 2LiCl1K2O (2) [CoCl(NH3)5]115H1®Co21 15 4NH1 1Cl2 (3) [ 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 (4) CuSO414KCN®K2[Cu(CN)4] 1K2SO4
- 24. E/Page 24 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 51. In SN2 reactions, the correct order of reactivity for the following compounds : CH3Cl, CH3CH2Cl, (CH3)2CHCl and (CH3)3CCl is : (1) CH3Cl > (CH3)2CHCl > CH3CH2Cl > (CH3)3CCl (2) CH3Cl > CH3CH2Cl > (CH3)2CHCl > (CH3)3CCl (3) CH3CH2Cl > CH3Cl > (CH3)2CHCl > (CH3)3CCl (4) (CH3)2CHCl > CH3CH2Cl > CH3Cl > (CH3)3CCl 52. On heating an aliphatic primary amine with chloroform and ethanolic potassium hydroxide, the organic compound formed is : (1) an alkanol (2) an alkanediol (3) an alkyl cyanide (4) an alkyl isocyanide 53. The most suitable reagent for the conversion of R2CH22OH® R2CHO is : (1) KMnO4 (2) K2Cr2O7 (3) CrO3 (4) PCC (Pyridinium Chlorochromate) 51. 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 > (CH3)2CHCl > CH3CH2Cl > (CH3)3CCl (2) CH3Cl > CH3CH2Cl > (CH3)2CHCl > (CH3)3CCl (3) CH3CH2Cl > CH3Cl > (CH3)2CHCl > (CH3)3CCl (4) (CH3)2CHCl > CH3CH2Cl > CH3Cl > (CH3)3CCl 52. °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·¤æÙæðÜ (2) °·¤ °ðË·ð¤ÙÇUæØæðÜ (3) °·¤ °ðçË·¤Ü çâØæÙæ§ÇU (4) °·¤ °ðçË·¤Ü ¥æ§âæðçâØæÙæ§ÇU 53. R2CH22OH ® R2CHO ×ð´ ÕÎÜÙð ·¤æ âÕâð ¥çÏ·¤ ©ÂØé€Ì ¥çÖ·¤æÚU·¤ ãæðÌæ ãñ Ñ (1) KMnO4 (2) K2Cr2O7 (3) CrO3 (4) PCC (çÂçÚUÇUèçÙØ× €ÜæðÚUæð·ý¤æð×ðÅ)U
- 25. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 25 54. The major organic compound formed by the reaction of 1, 1, 12 trichloroethane with silver powder is : (1) Acetylene (2) Ethene (3) 2 - Butyne (4) 2 - Butene 55. 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) 54. 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) °çâçÅUÜèÙ (2) §üÍèÙ (3) 2 - ŽØéÅUæ§Ù (4) 2 - ŽØéÅUèÙ 55. âæðçÇUØ× $Èñ¤Ùæ€âæ§ÇU ·¤è ©“æ ÎæÕ ¥æñÚU 1258C ÂÚU CO2 âð ¥çÖç·ý¤Øæ ·¤ÚUÙð ÂÚU Áæð Øæñç»·¤ ÂýæŒÌ ãæðÌæ ãñ ©â·ð¤ °çâçÅUÜðàæÙ ÂÚU ç·ý¤Øæ È¤Ü C ãæðÌæ ãñÐ ÕǸè ×æ˜ææ ×ð´ ç·ý¤Øæ È¤Ü C ãæð»æ Ñ (1) (2) (3) (4)
- 26. E/Page 26 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 56. Considering the basic strength of amines in aqueous solution, which one has the smallest pKb value ? (1) (CH3)2NH (2) CH3NH2 (3) (CH3)3N (4) C6H5NH2 57. For which of the following molecule significant m¹0 ? (a) (b) (c) (d) (1) Only (a) (2) (a) and (b) (3) Only (c) (4) (c) and (d) 56. ÁÜèØ çßÜØÙ ×ð´ °×èÙæð´ ·¤è ÿææÚUèØ Âýßëçžæ ·ð¤ ¥ÙéâæÚU çÙÙçÜç¹Ìæð´ ×ð´ âð ç·¤â·ð¤ çÜØð pKb ·¤æ ×æÙ ·¤× âð ·¤× ãæð»æ? (1) (CH3)2NH (2) CH3NH2 (3) (CH3)3N (4) C6H5NH2 57. çÙÙ ×ð´ âð 緤⠥‡æé ·ð¤ çÜØð ÕãéÌ âè×æ Ì·¤ m¹0 ãæð»æ? (a) (b) (c) (d) (1) ·ð¤ßÜ (a) (2) (a) ¥æñÚU (b) (3) ·ð¤ßÜ (c) (4) (c) ¥æñÚU (d)
- 27. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 27 58. Which one is classified as a condensation polymer ? (1) Dacron (2) Neoprene (3) Teflon (4) Acrylonitrile 59. Which one of the following bases is not present in DNA ? (1) Quinoline (2) Adenine (3) Cytosine (4) Thymine 60. In the reaction, 4 5LiAlH PCl Alc. KOH 3CH COOH A B C££££“ £££“ £££££“ , the product C is : (1) Acetaldehyde (2) Acetylene (3) Ethylene (4) Acetyl chloride 58. §Ù×ð´ âð 緤ⷤæð ·¤‹ÇñU‹âðàæÙ ÕãéÜ·¤ ×æÙæ ÁæØð»æ? (1) ÇñU·¤ÚUæÙ (2) çÙØæðçÂýÙ (3) ÅñU$ȤÜæÙ (4) °ðç·ý¤ÜæðÙæ§ÅþUæ§Ü 59. çÙÙ ÿææÚUæð´ ×ð´ âð ·¤æñÙ °·¤ DNA ×ð´ Ùãè´ ÂæØæ ÁæÌæ? (1) ç€ßÙæðÜèÙ (2) °ðçÇUÙèÙ (3) âæ§ÅUæðâèÙ (4) Íæ§ü×èÙ 60. ¥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) °ðçâÅU°ðçËÇUãæ§ÇU (2) °çâçÅUÜèÙ (3) §Íæ§üÜèÙ (4) °çâÅUæ§Ü €ÜæðÚUæ§ÇU
- 28. E/Page 28 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã PART C — MATHEMATICS Öæ» C — »ç‡æÌ 61. 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) X (2) Y (3) N (4) Y2X 62. If z is a complex number such that ?z?/2, then the minimum value of 1 z 2 1 : (1) is strictly greater than 5 2 (2) is strictly greater than 3 2 but less than 5 2 (3) is equal to 5 2 (4) lies in the interval (1, 2) 63. 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) (22, 21) (2) (2:, 22) È (2, :) (3) (21, 0) È (0, 1) (4) (1, 2) 61. ØçÎ X5{4n23n21 : n e N} ÌÍæ Y5{9(n21) : n e N} ãñ´, Áãæ¡ N, Âýæ·ë¤Ì â´Øæ¥æð´ ·¤æ â×é“æØ ãñ, Ìæð XÈY ÕÚUæÕÚU ãñ Ñ (1) X (2) Y (3) N (4) Y2X 62. ØçÎ z °·¤ °ðâè âçןæ â´Øæ ãñ ç·¤ ?z?/2 ãñ, Ìæð 1 z 2 1 ·¤æ ‹ØêÙÌ× ×æÙ Ñ (1) 5 2 âð çÙÚ´UÌÚU ÕǸæ ãñÐ (2) 3 2 âð çÙÚ´UÌÚU ÕǸæ ãñ ÂÚU‹Ìé 5 2 âð ·¤× ãñÐ (3) 5 2 ·ð¤ ÕÚUæÕÚU ãñÐ (4) ¥´ÌÚUæÜ (1, 2) ×ð´ çSÍÌ ãñÐ 63. 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) (22, 21) (2) (2:, 22) È (2, :) (3) (21, 0) È (0, 1) (4) (1, 2)
- 29. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 29 64. 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) 34 9 (2) 2 13 9 (3) 61 9 (4) 2 17 9 65. 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) 1 (2) 21 (3) ab (4) 1 ab 66. If A is an 333 non - singular matrix such that AA95A9A and B5A21 A9, then BB9 equals : (1) B21 (2) (B21)9 (3) I1B (4) I 64. ×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) 34 9 (2) 2 13 9 (3) 61 9 (4) 2 17 9 65. 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) 1 (2) 21 (3) ab (4) 1 ab 66. ØçÎ A °·¤ °ðâæ 333 ÃØ鈷ý¤×‡æèØ ¥æÃØêã ãñ ç·¤ AA95A9A ÌÍæ B5A21 A9 ãñ, Ìæð BB9 ÕÚUæÕÚU ãñ Ñ (1) B21 (2) (B21)9 (3) I1B (4) I
- 30. E/Page 30 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 67. 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 14 3 , Ë ÛÜÌ ÜÌ ÜÌÍ Ý (2) 272 16 3 , Ë ÛÜÌ ÜÌ ÜÌÍ Ý (3) 251 16 3 , Ë ÛÜÌ ÜÌ ÜÌÍ Ý (4) 251 14 3 , Ë ÛÜÌ ÜÌ ÜÌÍ Ý 68. If (10)912(11)1 (10)813(11)2 (10)71... 110 (11)95k (10)9, then k is equal to : (1) 100 (2) 110 (3) 121 10 (4) 441 100 69. 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 32 (2) 2 31 (3) 2 31 (4) 3 21 67. 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 14 3 , Ë ÛÜÌ ÜÌ ÜÌÍ Ý (2) 272 16 3 , Ë ÛÜÌ ÜÌ ÜÌÍ Ý (3) 251 16 3 , Ë ÛÜÌ ÜÌ ÜÌÍ Ý (4) 251 14 3 , Ë ÛÜÌ ÜÌ ÜÌÍ Ý 68. ØçÎ (10)912(11)1 (10)813(11)2 (10)71... 110 (11)95k (10)9 ãñ, Ìæð k ÕÚUæÕÚU ãñ Ñ (1) 100 (2) 110 (3) 121 10 (4) 441 100 69. ÌèÙ ÏÙæˆ×·¤ â´Øæ°´ ÕɸÌè »é‡ææðžæÚU Ÿæðɸè ×ð´ ãñ´Ð ØçÎ §â »é‡ææðžæÚU ŸæðÉ¸è ·¤è Õè¿ ßæÜè â´Øæ Îé»éÙè ·¤ÚU Îè Áæ°, Ìæð Ù§ü ÕÙè â´Øæ°´ â×æ´ÌÚU Ÿæðɸè ×ð´ ãæð ÁæÌè ãñ´Ð »é‡ææðžæÚU ŸæðÉ¸è ·¤æ âæßü¥ÙéÂæÌ ãñ Ñ (1) 2 32 (2) 2 31 (3) 2 31 (4) 3 21
- 31. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 31 70. 2 20 sin ( cos ) x x lim x p “ is equal to : (1) 2p (2) p (3) 2 p (4) 1 71. 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) { }5 1 1 ( )g x1 (2) 11{g(x)}5 (3) 11x5 (4) 5x4 72. 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)5g9(c) (2) f 9(c)52g9(c) (3) 2f 9(c)5g9(c) (4) 2f 9(c)53g9(c) 70. 2 20 sin ( cos ) x x lim x p “ ·¤æ ×æÙ ãñ Ñ (1) 2p (2) p (3) 2 p (4) 1 71. 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) { }5 1 1 ( )g x1 (2) 11{g(x)}5 (3) 11x5 (4) 5x4 72. 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)5g9(c) (2) f 9(c)52g9(c) (3) 2f 9(c)5g9(c) (4) 2f 9(c)53g9(c)
- 32. E/Page 32 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 73. If x521 and x52 are extreme points of f(x)5a log ?x?1bx21x then : (1) a52, b52 1 2 (2) a52, b5 1 2 (3) a526, b5 1 2 (4) a526, b52 1 2 74. The integral 1 1 1 e d x xx x x Ë ÛÜÌ ÜÌ ÜÌÍ Ý× 1 1 2 is equal to : (1) (x11) 1 e c x x 1 1 (2) 2x 1 e c x x 1 1 (3) (x21) 1 e c x x 1 1 (4) x 1 e c x x 1 1 75. The integral 2 0 1 4 sin 4 sin d 2 2 x x x× p 1 2 equals : (1) 4 3 42 (2) 4 3 4 3 p 2 2 (3) p24 (4) 2 4 4 3 3 p 2 2 73. ØçÎ x521 ÌÍæ x52, f(x)5a log ?x?1bx21x ·ð¤ ¿ÚU×çÕ´Îé ãñ´, Ìæð Ñ (1) a52, b52 1 2 (2) a52, b5 1 2 (3) a526, b5 1 2 (4) a526, b52 1 2 74. â×æ·¤Ü 1 1 1 e d x xx x x Ë ÛÜÌ ÜÌ ÜÌÍ Ý× 1 1 2 ÕÚUæÕÚU ãñ Ñ (1) (x11) 1 e c x x 1 1 (2) 2x 1 e c x x 1 1 (3) (x21) 1 e c x x 1 1 (4) x 1 e c x x 1 1 75. 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 42 (2) 4 3 4 3 p 2 2 (3) p24 (4) 2 4 4 3 3 p 2 2
- 33. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 33 76. The area of the region described by A5{(x, y) : x21y2 [ 1 and y2 [ 12x} is : (1) 2 2 3 p 2 (2) 2 2 3 p 1 (3) 4 2 3 p 1 (4) 4 2 3 p 2 77. 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) 6002500 et/2 (2) 4002300 e2t/2 (3) 4002300 et/2 (4) 3002200 e2t/2 78. 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) 4x17y1350 (2) 2x29y21150 (3) 4x27y21150 (4) 2x19y1750 76. A5{(x, y) : x21y2 [ 1 ÌÍæ y2 [ 12x} ·ð¤ mæÚUæ ÂýΞæ ÿæð˜æ ·¤æ ÿæð˜æÈ¤Ü ãñ Ñ (1) 2 2 3 p 2 (2) 2 2 3 p 1 (3) 4 2 3 p 1 (4) 4 2 3 p 2 77. ×æÙæ ç·¤âè â×Ø t ÂÚU ÁèçßÌ ¹ÚU»æðàææð´ ·¤è ÁÙâ´Øæ ¥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) 6002500 et/2 (2) 4002300 e2t/2 (3) 4002300 et/2 (4) 3002200 e2t/2 78. ×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) 4x17y1350 (2) 2x29y21150 (3) 4x27y21150 (4) 2x19y1750
- 34. E/Page 34 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 79. 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) 3bc22ad50 (2) 3bc12ad50 (3) 2bc23ad50 (4) 2bc13ad50 80. The locus of the foot of perpendicular drawn from the centre of the ellipse x213y256 on any tangent to it is : (1) (x21y2)256x212y2 (2) (x21y2)256x222y2 (3) (x22y2)256x212y2 (4) (x22y2)256x222y2 81. 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 2 (2) 1 4 (3) 3 2 (4) 3 2 79. ×æÙæ a, b, c ÌÍæ d àæê‹ØðÌÚU â´Øæ°¡ 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) 3bc22ad50 (2) 3bc12ad50 (3) 2bc23ad50 (4) 2bc13ad50 80. 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)256x212y2 (2) (x21y2)256x222y2 (3) (x22y2)256x212y2 (4) (x22y2)256x222y2 81. ×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 2 (2) 1 4 (3) 3 2 (4) 3 2
- 35. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 35 82. The slope of the line touching both the parabolas y254x and x25232y is : (1) 1 8 (2) 2 3 (3) 1 2 (4) 3 2 83. 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) 53 2 3 1 5 yx z12 2 5 5 2 2 (3) 53 2 3 1 5 yx z21 2 5 5 2 (4) 53 2 3 1 5 yx z21 1 5 5 2 2 82. ÂÚUßÜØæð´ y254x ÌÍæ x25232y ÎæðÙæð´ ·¤æð SÂàæü ·¤ÚUÙð ßæÜè ÚðU¹æ ·¤è Âý߇æÌæ ãñ Ñ (1) 1 8 (2) 2 3 (3) 1 2 (4) 3 2 83. 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) 53 2 3 1 5 yx z12 2 5 5 2 2 (3) 53 2 3 1 5 yx z21 2 5 5 2 (4) 53 2 3 1 5 yx z21 1 5 5 2 2
- 36. E/Page 36 SPACEFOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 84. The angle between the lines whose direction cosines satisfy the equations l1m1n50 and l25m21n2 is : (1) 6 p (2) 2 p (3) 3 p (4) 4 p 85. 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) 0 (2) 1 (3) 2 (4) 3 86. 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 but not equally likely. (2) independent and equally likely. (3) mutually exclusive and independent. (4) equally likely but not independent. 84. 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) 6 p (2) 2 p (3) 3 p (4) 4 p 85. 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) 0 (2) 1 (3) 2 (4) 3 86. ×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´ ÂÚU‹Ìé â×âÖæßè Ùãè´ ãñ´Ð (2) SßÌ´˜æ ãñ´ ÌÍæ â×âÖæßè ãñ´Ð (3) ÂÚUSÂÚU ¥ÂßÁèü ÌÍæ SßÌ´˜æ ãñ´Ð (4) â×âÖæßè ãñ´ ÂÚU‹Ìé SßÌ´˜æ Ùãè´ ãñ´Ð
- 37. SPACE FOR ROUGHWORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãE/Page 37 87. The variance of first 50 even natural numbers is : (1) 437 (2) 437 4 (3) 833 4 (4) 833 88. 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 4 (2) 1 12 (3) 1 6 (4) 1 3 87. ÂãÜè 50 â× Âýæ·ë¤Ì â´Øæ¥æð´ ·¤æ ÂýâÚU‡æ ãñ Ñ (1) 437 (2) 437 4 (3) 833 4 (4) 833 88. ×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 4 (2) 1 12 (3) 1 6 (4) 1 3
- 38. E/Page 38 SPACE FORROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã 89. 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 2 (2) ( )20 3 12 (3) ( )40 2 12 (4) ( )40 3 22 90. The statement ~(p « ~q) is : (1) a tautology (2) a fallacy (3) equivalent to p « q (4) equivalent to ~p « q - o 0 o - 89. °·¤ 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 2 (2) ( )20 3 12 (3) ( )40 2 12 (4) ( )40 3 22 90. ·¤ÍÙ ~(p « ~q) ãñ Ñ (1) °·¤ ÂéÙL¤ç€Ì (tautology) (2) °·¤ ãðˆßæÖæâ (fallacy) (3) p « q ·ð¤ ÌéËØ (4) ~p « q ·ð¤ ÌéËØ - o 0 o -
- 39. SPACE FOR ROUGHWORK / ÚȤ ·¤æØü ·ð¤ çÜ° Á»ã E/Page 39
- 40. Read the followinginstructions 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. çÙÙçÜç¹Ì 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·¤Ë 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 âÂóæ 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 9. ÂêÀðU ÁæÙð ÂÚU ÂýˆØð·¤ ÂÚUèÿææÍèü çÙÚUèÿæ·¤ ·¤æð ¥ÂÙæ Âýßðàæ ·¤æÇü çι氡Р10. ¥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×æ𴠷𤠥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 E/Page 40