3. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãD/Page 3
3. A pendulum made of a uniform wire of
cross sectional area A has time period T.
When an additional mass M is added to
its bob, the time period changes to TM. If
the Young’s modulus of the material of the
wire is Y then
1
Y
is equal to :
(g5gravitational acceleration)
(1)
2
MT A
1
T Mg
2
(2)
2
M
T A
1
T Mg
2
(3)
2
MT A
1
T Mg
2
(4)
2
M MgT
1
T A
2
3. ç·¤âè °·¤â×æÙ ÌæÚU ·¤è ¥ÙéÂýSÍ·¤æÅU ·¤æ ÿæð˜æȤÜ
‘A’ ãñÐ §ââð ÕÙæØð »Øð °·¤ ÜæðÜ·¤ ·¤æ ¥æßÌü·¤æÜ
T ãñÐ §â ÜæðÜ·¤ ·ð¤ »æðÜ·¤ âð °·¤ ¥çÌçÚU€Ì M
ÎýÃØ×æÙ ÁæðǸ ÎðÙð âð ÜæðÜ·¤ ·¤æ ¥æßÌü·¤æÜ ÂçÚUßçÌüÌ
ãæð·¤ÚU TM ãæð ÁæÌæ ãñÐ ØçÎ §â ÌæÚU ·ð¤ ÂÎæÍü ·¤æ Ø´»
»é‡ææ´·¤ ‘Y’ ãæð Ìæð
1
Y
·¤æ ×æÙ ãæð»æ Ñ
(g5»éL¤ˆßèØ ˆßÚU‡æ)
(1)
2
MT A
1
T Mg
2
(2)
2
M
T A
1
T Mg
2
(3)
2
MT A
1
T Mg
2
(4)
2
M MgT
1
T A
2
5. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãD/Page 5
6. When 5V potential difference is applied
across a wire of length 0.1 m, the drift
speed of electrons is 2.531024 ms21. If
the electron density in the wire is
831028 m23, the resistivity of the material
is close to :
(1) 1.631026 Vm
(2) 1.631025 Vm
(3) 1.631028 Vm
(4) 1.631027 Vm
7.
Two long current carrying thin wires, both
with current I, are held by insulating
threads of length L and are in equilibrium
as shown in the figure, with threads
making an angle ‘u’ with the vertical. If
wires have mass l per unit length then the
value of I is :
(g5gravitational acceleration)
(1)
0
gL
2 tan
p
u
m
(2)
0
gL
tan
pl
u
m
(3)
0
gL
sin
cos
pl
u
m u
(4)
0
gL
2sin
cos
pl
u
m u
6. 0.1 m Ü´Õð ç·¤âè ÌæÚU ·ð¤ çâÚUæð´ ·ð¤ Õè¿ 5V çßÖßæ´ÌÚUU
¥æÚUæðçÂÌ ·¤ÚUÙð âð §Üð€ÅþUæòÙæð´ ·¤è ¥Âßæã ¿æÜ
2.531024 ms21 ãæðÌè ãñÐ ØçÎ §â ÌæÚU ×ð´ §Üð€ÅþUæòÙ
ƒæÙˆß 831028 m23 ãæð Ìæð, §â ·ð¤ ÂÎæÍü ·¤è
ÂýçÌÚUæðÏ·¤Ìæ ãæð»è, ֻܻ Ñ
(1) 1.631026 Vm
(2) 1.631025 Vm
(3) 1.631028 Vm
(4) 1.631027 Vm
7.
Îæð ÂÌÜð ÜÕð ÌæÚUæð´ ×ð´ ÂýˆØð·¤ âð I ÏæÚUæ ÂýßæçãÌ ãæð ÚUãè
ãñÐ §‹ãð´ L ÜÕæ§ü ·ð¤ çßléÌÚUæðÏè Ïæ»æð´ âð ÜÅU·¤æØæ
»Øæ ãñÐ §Ù Ïæ»æð´ ×ð´ ÂýˆØð·¤ ·ð¤ mæÚUæ ª¤ŠßæüÏÚU çÎàææ âð
‘u’ ·¤æð‡æ ÕÙæÙð ·¤è çSÍçÌ ×ð´, Øð ÎæðÙæð´ ÌæÚU âæØæßSÍæ
×ð´ ÚUãÌð ãñ´Ð ØçÎ §Ù ÌæÚUæð´ ·¤è ÂýçÌ §·¤æ§ü ÜÕæ§ü
ÎýÃØ×æÙ l ãñ ÌÍæ g »éL¤ˆßèØ ˆßÚU‡æ ãñ Ìæð, I ·¤æ ×æÙ
ãæð»æ Ñ
(1)
0
gL
2 tan
p
u
m
(2)
0
gL
tan
pl
u
m
(3)
0
gL
sin
cos
pl
u
m u
(4)
0
gL
2sin
cos
pl
u
m u
7. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãD/Page 7
11. An LCR circuit is equivalent to a damped
pendulum. In an LCR circuit the capacitor
is charged to Q0 and then connected to
the L and R as shown below :
If a student plots graphs of the square of
maximum charge ( 2
MaxQ ) on the capacitor
with time(t) for two different values L1 and
L2 (L1>L2) of L then which of the following
represents this graph correctly ? (plots are
schematic and not drawn to scale)
(1)
(2)
(3)
(4)
11. LCR (°Ü.âè.¥æÚU) ÂçÚUÂÍ ç·¤âè ¥ß×´çÎÌ ÜæðÜ·¤
·ð¤ ÌéËØ ãæðÌæ ãñÐ ç·¤âè LCR ÂçÚUÂÍ ×ð´ â´ÏæçÚU˜æ ·¤æð
Q0 Ì·¤ ¥æßðçàæÌ ç·¤Øæ »Øæ ãñ, ¥æñÚU çȤÚU §âð ¥æÚðU¹
×ð´ ÎàææüØð »Øð ¥ÙéâæÚU L ß R âð ÁæðÇ¸æ »Øæ ãñÐ
ØçÎ °·¤ çßlæÍèü L ·ð¤, Îæð çßçÖóæ ×æÙæð´, L1 ÌÍæ L2
(L1>L2) ·ð¤ çÜØð, â×Ø t ÌÍæ â´ÏæçÚU˜æ ÂÚU
¥çÏ·¤Ì× ¥æßðàæ ·ð¤ ß»ü 2
MaxQ ·ð¤ Õè¿ Îæð »ýæȤ
ÕÙæÌæ ãñ Ìæð çÙÙæ´ç·¤Ì ×ð´ âð ·¤æñÙ âæ »ýæȤ âãè ãñ?
(ŒÜæòÅU ·ð¤ßÜ ÃØßSÍæ ŒÜæòÅU ãñ´ ÌÍæ S·ð¤Ü ·ð¤ ¥ÙéâæÚU
Ùãè´ ãñ´)
(1)
(2)
(3)
(4)
8. D/Page 8 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
12. In the given circuit, charge Q2 on the 2mF
capacitor changes as C is varied from 1mF
to 3mF. Q2 as a function of ‘C’ is given
properly by : (figures are drawn schematically
and are not to scale)
(1)
(2)
(3)
(4)
12. çÎØð »Øð ÂçÚUÂÍ ×ð´, C ·ð¤ ×æÙ ·ð¤ 1mF âð 3mF
ÂçÚUßçÌüÌ ãæðÙð âð, 2mF â´ÏæçÚU˜æ ÂÚU ¥æßðàæ Q2 ×ð´
ÂçÚUßÌüÙ ãæðÌæ ãñÐ ‘C’ ·ð¤ ȤÜÙ ·ð¤ M¤Â ×ð´ Q2 ·¤æð
·¤æñÙ âæ ¥æÜð¹ âãè ÎàææüÌæ ãñ? (¥æÜð¹ ·ð¤ßÜ
ÃØßSÍæ ¥æÚðU¹ ãñ´ ¥æñÚU S·ð¤Ü ·ð¤ ¥ÙéâæÚU Ùãè´ ãñ´Ð)
(1)
(2)
(3)
(4)
9. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãD/Page 9
13. From a solid sphere of mass M and radius
R a cube of maximum possible volume is
cut. Moment of inertia of cube about an
axis passing through its center and
perpendicular to one of its faces is :
(1)
2
4MR
9 3p
(2)
2
4MR
3 3p
(3)
2
MR
32 2p
(4)
2
MR
16 2p
14. The period of oscillation of a simple
pendulum is
L
T 2
g
5 p . Measured value
of L is 20.0 cm known to 1 mm accuracy
and time for 100 oscillations of the
pendulum is found to be 90 s using a wrist
watch of 1s resolution. The accuracy in
the determination of g is :
(1) 1%
(2) 5%
(3) 2%
(4) 3%
13. ç·¤âè ÆUæðâ »æðÜð ·¤æ ÎýÃØ×æÙ M ÌÍæ §â·¤è ç˜æ’Øæ
R ãñÐ §â×ð´ âð ¥çÏ·¤Ì× â´Öß ¥æØÌÙ ·¤æ °·¤
€ØêÕ (ƒæÙ) ·¤æÅU çÜØæ ÁæÌæ ãñÐ §â €ØêÕ ·¤æ
ÁǸˆß ¥æƒæê‡æü ç·¤ÌÙæ ãæð»æ, ØçÎ, §â·¤è ƒæê‡æüÙ-¥ÿæ,
§â·ð¤ ·ð¤‹Îý âð ãæð·¤ÚU »é$ÁÚUÌè ãñ ÌÍæ §â·ð¤ ç·¤âè °·¤
Ȥܷ¤ ·ð¤ ÜÕßÌ÷U ãñ?
(1)
2
4MR
9 3p
(2)
2
4MR
3 3p
(3)
2
MR
32 2p
(4)
2
MR
16 2p
14. ç·¤âè âÚUÜ ÜæðÜ·¤ ·¤æ ¥æßÌü, L
T 2
g
5 p ãñÐ
L ·¤æ ×æçÂÌ ×æÙ 20.0 cm ãñ, çÁâ·¤è ØÍæÍüÌæ
1 mm ãñÐ §â ÜæðÜ·¤ ·ð¤ 100 ÎæðÜÙæð´ ·¤æ â×Ø
90 s ãñ, çÁâð 1s çßÖðÎÙ ·¤è ƒæǸè âð ÙæÂæ »Øæ ãñÐ Ìæð,
g ·ð¤ çÙÏæüÚU‡æ ×ð´ ØÍæÍüÌæ ãæð»è Ñ
(1) 1%
(2) 5%
(3) 2%
(4) 3%
10. D/Page 10 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
15. On a hot summer night, the refractive
index of air is smallest near the ground and
increases with height from the ground.
When a light beam is directed horizontally,
the Huygens’ principle leads us to conclude
that as it travels, the light beam :
(1) bends downwards
(2) bends upwards
(3) becomes narrower
(4) goes horizontally without any
deflection
16. A signal of 5 kHz frequency is amplitude
modulated on a carrier wave of frequency
2 MHz. The frequencies of the resultant
signal is/are :
(1) 2005 kHz, 2000 kHz and 1995 kHz
(2) 2000 kHz and 1995 kHz
(3) 2 MHz only
(4) 2005 kHz, and 1995 kHz
15. »ýèc× «¤Ìé ·¤è »×ü ÚUæç˜æ ×ð´, Öê-ÌÜ ·ð¤ çÙ·¤ÅU, ßæØé ·¤æ
¥ÂßÌüÙæ´·¤ ‹ØêÙÌ× ãæðÌæ ãñ ¥æñÚU Öê-ÌÜ â𠪡¤¿æ§ü ·ð¤
âæÍ ÕɸÌæ ÁæÌæ ãñÐ ØçÎ, ·¤æð§ü Âý·¤æàæ-ç·¤ÚU‡æ-´éÁ
ÿæñçÌÁ çÎàææ ×ð´ Áæ ÚUãæ ãæð Ìæð, ã槻ð‹â ·ð¤ çâhæ‹Ì âð
Øã ÂçÚU‡ææ× ÂýæŒÌ ãæðÌæ ãñ ç·¤, ¿ÜÌð ãé°
Âý·¤æàæ-ç·¤ÚU‡æ ´éÁ Ñ
(1) Ùè¿ð ·¤è ¥æðÚU Ûæé·¤ ÁæØð»æÐ
(2) ª¤ÂÚU ·¤è ¥æðÚU Ûæé·¤ ÁæØð»æÐ
(3) â´·é¤ç¿Ì (â´·¤è‡æü) ãæð ÁæØð»æÐ
(4) çÕÙæ çßÿæðçÂÌ ãé°, ÿæñçÌÁ çÎàææ ×ð´ ¿ÜÌæ
ÚUãð»æÐ
16. 5 kHz ¥æßëçžæ ·ð¤ ç·¤âè â´·ð¤Ì (çâ‚ÙÜ) ·¤æ
2 MHz ¥æßëçžæ ·¤è ßæã·¤ ÌÚ´U» ÂÚU ¥æØæ× ×æòÇéUÜÙ
ç·¤Øæ »Øæ ãñÐ Ìæð, ÂçÚU‡ææ×è çâ‚ÙÜ (â´·ð¤Ì) ·¤è
¥æßëçžæ ãæð»è Ñ
(1) 2005 kHz, 2000 kHz ÌÍæ 1995 kHz
(2) 2000 kHz ÌÍæ 1995 kHz
(3) 2 MHz ·ð¤ßÜ
(4) 2005 kHz, ÌÍæ 1995 kHz
11. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãD/Page 11
17. A solid body of constant heat capacity
1 J/8C is being heated by keeping it in
contact with reservoirs in two ways :
(i) Sequentially keeping in contact with
2 reservoirs such that each reservoir
supplies same amount of heat.
(ii) Sequentially keeping in contact with
8 reservoirs such that each reservoir
supplies same amount of heat.
In both the cases body is brought from
initial temperature 1008C to final
temperature 2008C. Entropy change of the
body in the two cases respectively is :
(1) ln2, 2ln2
(2) 2ln2, 8ln2
(3) ln2, 4ln2
(4) ln2, ln2
18. Consider a spherical shell of radius R at
temperature T. The black body radiation
inside it can be considered as an ideal gas
of photons with internal energy per unit
volume 4U
u T
V
5 ; and pressure
1 U
p
3 V
5 . If the shell now undergoes
an adiabatic expansion the relation
between T and R is :
(1)
1
T
R
;
(2) 3
1
T
R
;
(3) T ; e2R
(4) T ; e23R
17. °·¤ ÆUæðâ ç´ÇU (ßSÌé) ·¤è çSÍÚU ª¤c×æ ÏæçÚUÌæ
1 J/8C ãñÐ §â·¤æ𠪤c×·¤æð´ (ª¤c×æ Ö´ÇUæÚUæð´) ·ð¤ â·ü¤
×ð´ ÚU¹·¤ÚU çÙÙ Îæð Âý·¤æÚU âð »×ü ç·¤Øæ ÁæÌæ ãñ,
(i) ¥Ùé·ý¤ç×·¤ M¤Â âð 2 ª¤c×·¤æð´ ·ð¤ â·ü¤ ×ð´
§â Âý·¤æÚU ÚU¹·¤ÚU ç·¤ ÂýˆØð·¤ ª¤c×·¤ â×æÙ
×æ˜ææ ×ð´ ª¤c×æ ÎðÌæ ãñ,
(ii) ¥Ùé·ý¤ç×·¤ M¤Â âð 8 ª¤c×·¤æð´ ·ð¤ â·ü¤ ×ð´
§â Âý·¤æÚU ÚU¹·¤ÚU ç·¤ ÂýˆØð·¤ ª¤c×·¤ â×æÙ
×æ˜ææ ×ð´ ª¤c×æ ÎðÌæ ãñ,
ÎæðÙæð´ çSÍçÌØæð´ ×ð´ ç´ÇU ·¤æ ÂýæÚ´UçÖ·¤ Ìæ 1008C ÌÍæ
¥ç‹Ì× Ìæ 2008C ãñÐ Ìæð, §Ù Îæð çSÍçÌØæð´ ×ð´ ç´ÇU
·¤è °‹ÅþUæòÂè ×ð´ ÂçÚUßÌüÙ ãæð»æ, ·ý¤×àæÑ
(1) ln2, 2ln2
(2) 2ln2, 8ln2
(3) ln2, 4ln2
(4) ln2, ln2
18. ç·¤âè »æðÜèØ ·¤æðàæ (àæñÜ) ·¤è ç˜æ’Øæ R ãñ ¥æñÚU §â·¤æ
Ìæ T ãñÐ §â·ð¤ ÖèÌÚU ·ë¤çc‡æ·¤æ çßç·¤ÚU‡ææð´ ·¤æð ȤæðÅUæòÙæð´
·¤è °·¤ °ðâè ¥æÎàæü »ñâ ×æÙæ Áæ â·¤Ìæ ãñ çÁâ·¤è
ÂýçÌ §·¤æ§ü ¥æØÌÙ ¥æ‹ÌçÚU·¤ ª¤Áæü, 4U
u T
V
5 ;
ÌÍæ ÎæÕ,
1 U
p
3 V
5 ãñÐ ØçÎ §â ·¤æðàæ ×ð´ L¤Î÷Ïæðc×
ÂýâæÚU ãæð Ìæð, T ÌÍæ R ·ð¤ Õè¿ â´Õ´Ï ãæð»æ Ñ
(1)
1
T
R
;
(2) 3
1
T
R
;
(3) T ; e2R
(4) T ; e23R
13. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãD/Page 13
20. A uniformly charged solid sphere of radius
R has potential V0 (measured with respect
to :) on its surface. For this sphere the
equipotential surfaces with potentials
0 0 03V 5V 3V
, ,
2 4 4
and 0V
4
have radius R1,
R2, R3 and R4 respectively. Then
(1) R150 and R2 < (R42R3)
(2) 2R < R4
(3) R150 and R2 > (R42R3)
(4) R1 ¹ 0 and (R22R1) > (R42R3)
21. Monochromatic light is incident on a glass
prism of angle A. If the refractive index of
the material of the prism is m, a ray,
incident at an angle u, on the face AB
would get transmitted through the face AC
of the prism provided :
(1) 1 1 1
> cos sin A sin
2 2
u m 1
m
(2) 1 1 1
< cos sin A sin
2 2
u m 1
m
(3) 1 1 1
> sin sin A sin
2 2
u m 2
m
(4) 1 1 1
< sin sin A sin
2 2
u m 2
m
20. R ç˜æ’Øæ ·ð¤ ç·¤âè °·¤â×æÙ ¥æßðçàæÌ ÆUæðâ »æðÜð ·ð¤
ÂëcÆU ·¤æ çßÖß V0 ãñ (: ·ð¤ âæÂðÿæ ×æÂæ »Øæ)Ð §â
»æðÜð ·ð¤ çÜØð, 0 0 03V 5V 3V
, ,
2 4 4
ÌÍæ 0V
4
çßÖßæð´
ßæÜð â×çßÖßè ÂëcÆUæð´ ·¤è ç˜æ’ØæØð´, ·ý¤×àæÑ
R1, R2, R3 ÌÍæ R4 ãñ´Ð Ìæð,
(1) R150 ÌÍæ R2 < (R42R3)
(2) 2R < R4
(3) R150 ÌÍæ R2 > (R42R3)
(4) R1 ¹ 0 ÌÍæ (R22R1) > (R42R3)
21. ·¤æ¡¿ ·ð¤ ç·¤âè çÂý’× ·¤æ ·¤æð‡æ ‘A’ ãñÐ §â ÂÚU
°·¤ß‡æèü Âý·¤æàæ ¥æÂçÌÌ ãæðÌæ ãñÐ ØçÎ, çÂý’× ·ð¤
ÂÎæÍü ·¤æ ¥ÂßÌüÙæ´·¤ m ãñ Ìæð, çÂý’× ·ð¤ AB Ȥܷ¤
ÂÚU, u ·¤æð‡æ ¥æÂçÌÌ Âý·¤æàæ ·¤è ç·¤ÚU‡æ, çÂý’× ·ð¤
Ȥܷ¤ AC âð ÂæÚU»Ì ãæð»è ØçÎ Ñ
(1) 1 1 1
> cos sin A sin
2 2
u m 1
m
(2) 1 1 1
< cos sin A sin
2 2
u m 1
m
(3) 1 1 1
> sin sin A sin
2 2
u m 2
m
(4) 1 1 1
< sin sin A sin
2 2
u m 2
m
14. D/Page 14 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
22. A rectangular loop of sides 10 cm and
5 cm carrying a current I of 12 A is placed
in different orientations as shown in the
figures below :
(a)
(b)
(c)
(d)
If there is a uniform magnetic field of
0.3 T in the positive z direction, in which
orientations the loop would be in (i) stable
equilibrium and (ii) unstable equilibrium ?
(1) (b) and (d), respectively
(2) (b) and (c), respectively
(3) (a) and (b), respectively
(4) (a) and (c), respectively
22. 10 cm ÌÍæ 5 cm ÖéÁæ¥æ𴠷𤠰·¤ ¥æØÌæ·¤æÚU ÜêÂ
(Âæàæ) âð °·¤ çßléÌ ÏæÚUæ, I 5 12 A, ÂýßæçãÌ ãæðU
ÚUãè ãñÐ §â Âæàæ ·¤æð ¥æÚðU¹ ×ð´ ÎàææüØð »Øð ¥ÙéâæÚU
çßçÖóæ ¥çÖçß‹Øæâæð´ (çSÍçÌØæð´) ×ð´ ÚU¹æ »Øæ ãñÐ
(a)
(b)
(c)
(d)
ØçÎ ßãæ¡ 0.3 T ÌèßýÌæ ·¤æ ·¤æð§ü °·¤â×æÙ ¿éÕ·¤èØ
ÿæð˜æ, ÏÙæˆ×·¤ z çÎàææ ×ð´ çßl×æÙ ãñ Ìæð, ÎàææüØð »Øð
緤⠥çÖçß‹Øæâ ×ð´, Øã Âæàæ (ÜêÂ) (i) SÍæØè
â´ÌéÜÙ ÌÍæ (ii) ¥SÍæØè â´ÌéÜÙ ×ð´, ãæð»æ?
(1) ·ý¤×àæÑ (b) ÌÍæ (d) ×ð´
(2) ·ý¤×àæÑ (b) ÌÍæ (c) ×ð´
(3) ·ý¤×àæÑ (a) ÌÍæ (b) ×ð´
(4) ·ý¤×àæÑ (a) ÌÍæ (c) ×ð´
15. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãD/Page 15
23. Two coaxial solenoids of different radii
carry current I in the same direction. Let
1F
→
be the magnetic force on the inner
solenoid due to the outer one and 2F
→
be
the magnetic force on the outer solenoid
due to the inner one. Then :
(1) 1F
→
is radially inwards and 2F
→
50
(2) 1F
→
is radially outwards and 2F
→
50
(3) 1 2F F 0
→ →
5 5
(4) 1F
→
is radially inwards and 2F
→
is
radially outwards
24. A particle of mass m moving in the
x direction with speed 2v is hit by another
particle of mass 2m moving in the
y direction with speed v. If the collision is
perfectly inelastic, the percentage loss in
the energy during the collision is close to :
(1) 56%
(2) 62%
(3) 44%
(4) 50%
23. Îæð â×æÿæè ÂçÚUÙæçÜ·¤æ¥æð´ ×ð´, ÂýˆØð·¤ âð I ÏæÚUæ °·¤ ãè
çÎàææ ×ð´ ÂýßæçãÌ ãæð ÚUãè ãñÐ ØçÎ, ÕæãÚUè ÂçÚUÙæçÜ·¤æ
·ð¤ ·¤æÚU‡æ, ÖèÌÚUè ÂçÚUÙæçÜ·¤æ ÂÚU ¿éÕ·¤èØ ÕÜ
1F
→
ÌÍæ ÖèÌÚUè ÂçÚUÙæçÜ·¤æ ·ð¤ ·¤æÚU‡æ, ÕæãÚUè ÂçÚUÙæçÜ·¤æ
ÂÚU ¿éÕ·¤èØ ÕÜ 2F
→
ãæð Ìæð Ñ
(1) 1F
→
ÖèÌÚU ·¤è ¥æðÚU ß ¥ÚUèØ ãñ ÌÍæ 2F
→
50
ãñÐ
(2) 1F
→
ÕæãÚU ·¤è ¥æðÚU ß ¥ÚUèØ ãñ ÌÍæ 2F
→
50
ãñÐ
(3) 1 2F F 0
→ →
5 5
(4) 1F
→
ÖèÌÚU ·¤è ¥æðÚU ß ¥ÚUèØ (ç˜æ’Ø) ãñ ¥æñÚU
2F
→
ÕæãÚU ·¤è ¥æðÚU ß ¥ÚUèØ ãñÐ
24. x-çÎàææ ×ð´ 2v ¿æÜ âð ¿ÜÌð ãé° m ÎýÃØ×æÙ ·ð¤ °·¤
·¤‡æ âð, y-çÎàææ ×ð´ v ßð» âð ¿ÜÌæ ãé¥æ 2m ÎýÃØ×æÙ
·¤æ °·¤ ·¤‡æ, ÅU·¤ÚUæÌæ ãñÐ ØçÎ Øã â´ƒæÅ÷UÅU (ÅU€·¤ÚU)
Âê‡æüÌÑ ¥ÂýˆØæSÍ ãñ Ìæð, ÅU€·¤ÚU ·ð¤ ÎæñÚUæÙ ª¤Áæü ·¤æ ÿæØ
(ãæçÙ) ãæð»è Ñ
(1) 56%
(2) 62%
(3) 44%
(4) 50%
16. D/Page 16 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
25. Consider an ideal gas confined in an
isolated closed chamber. As the gas
undergoes an adiabatic expansion, the
average time of collision between
molecules increases as V
q
, where V is the
volume of the gas. The value of q is :
p
v
C
C
g 5
(1) 1
2
g 1
(2)
1
2
g 2
(3)
3 5
6
g 1
(4)
3 5
6
g 2
26. From a solid sphere of mass M and radius
R, a spherical portion of radius
R
2
is
removed, as shown in the figure. Taking
gravitational potential V50 at r5:, the
potential at the centre of the cavity thus
formed is :
(G5 gravitational constant)
(1)
2GM
3R
2
(2)
2GM
R
2
(3)
GM
2R
2
(4)
GM
R
2
25. °·¤ ¥æÎàæü »ñâ ç·¤âè Õ‹Î (â´ßëÌ), çßØé€Ì
(çßÜç»Ì) ·¤ÿæ ×ð´ âèç×Ì (ÚU¹è) ãñÐ §â »ñâ ×´ð´
L¤Î÷Ïæðc× ÂýâæÚU ãæðÙð ÂÚU, §â·ð¤ ¥‡æé¥æð´ ·ð¤ Õè¿ ÅU€·¤ÚU
·¤æ ¥æñâÌ ·¤æÜ (â×Ø) V
q
·ð¤ ¥ÙéâæÚU Õɸ ÁæÌæ ãñ,
Áãæ¡ V »ñâ ·¤æ ¥æØÌÙ ãñÐ Ìæð q ·¤æ ×æÙ ãæð»æ :
p
v
C
C
g 5
(1) 1
2
g 1
(2)
1
2
g 2
(3)
3 5
6
g 1
(4)
3 5
6
g 2
26. °·¤ ÆUæðâ »æðÜð ·¤æ ÎýÃØ×æÙ M ÌÍæ ç˜æ’Øæ R ãñÐ
§ââð
R
2
ç˜æ’Øæ ·¤æ °·¤ »æðÜèØ Öæ», ¥æÚðU¹ ×ð´ ÎàææüØð
»Øð ¥ÙéâæÚU ·¤æÅU çÜØæ ÁæÌæ ãñÐ r5:(¥Ù‹Ì) ÂÚU
»éL¤ˆßèØ çßÖß ·ð¤ ×æÙ V ·¤æð àæê‹Ø (V50) ×æÙÌð
ãé°, §â Âý·¤æÚU ÕÙð ·¤æðÅUÚU (·ñ¤çßÅUè) ·ð¤ ·ð¤‹Îý ÂÚU,
»éL¤ˆßèØ çßÖß ·¤æ ×æÙ ãæð»æ Ñ
(G5 »éL¤ˆßèØ çSÍÚUæ¡·¤ ãñ )
(1)
2GM
3R
2
(2)
2GM
R
2
(3)
GM
2R
2
(4)
GM
R
2
17. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãD/Page 17
27.
Given in the figure are two blocks A and B
of weight 20 N and 100 N, respectively.
These are being pressed against a wall by a
force F as shown. If the coefficient of friction
between the blocks is 0.1 and between block
B and the wall is 0.15, the frictional force
applied by the wall on block B is :
(1) 120 N
(2) 150 N
(3) 100 N
(4) 80 N
28. A long cylindrical shell carries positive
surface charge s in the upper half and
negative surface charge 2s in the lower
half. The electric field lines around the
cylinder will look like figure given in :
(figures are schematic and not drawn to scale)
(1)
(2)
(3)
(4)
27.
Øãæ¡ ¥æÚðU¹ ×ð´ Îæð ŽÜæò·¤ (»éÅU·ð¤) A ¥æñÚU B ÎàææüØð »Øð
ãñ´ çÁÙ·ð¤ ÖæÚU ·ý¤×àæÑ 20 N ÌÍæ 100 N ãñ´Ð §‹ãð´,
°·¤ ÕÜ F mæÚUæ ç·¤âè ÎèßæÚU ÂÚU ÎÕæØæ Áæ ÚUãæ ãñÐ
ØçÎ ƒæáü‡æ »é‡ææ´·¤ ·¤æ ×æÙ, A ÌÍæ B ·ð¤ Õè¿ 0.1
ÌÍæ B ¥æñÚU ÎèßæÚU ·ð¤ Õè¿ 0.15 ãñ Ìæð, ÎèßæÚU mæÚUæ
ŽÜæò·¤ B ÂÚU Ü»æ ÕÜ ãæð»æ Ñ
(1) 120 N
(2) 150 N
(3) 100 N
(4) 80 N
28. ç·¤âè ÜÕð ÕðÜÙæ·¤æÚU ·¤æðàæ ·ð¤ ª¤ÂÚUè Öæ» ×ð´ ÏÙæˆ×·¤
ÂëcÆU ¥æßðàæ s ÌÍæ çÙ¿Üð Öæ» ×ð´ «¤‡ææˆ×·¤ ÂëcÆU
¥æßðàæ 2s ãñ´Ð §â ÕðÜÙ (çâçÜ‹ÇUÚU) ·ð¤ ¿æÚUæð´
¥æðÚU çßléÌ ÿæð˜æ-ÚðU¹æØð´, Øãæ¡ ÎàææüØð »Øð ¥æÚð¹æð´ ×ð´ âð
緤⠥æÚðU¹ ·ð¤ â×æÙ ãæð´»è?
(Øã ¥æÚðU¹ ·ð¤ßÜ ÃØßSÍæ ¥æÚðU¹ ãñ ¥æñÚU S·ð¤Ü ·ð¤
¥ÙéâæÚU Ùãè´ ãñ)
(1)
(2)
(3)
(4)
SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
21. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãD/Page 21
37. Locus of the image of the point (2, 3) in
the line (2x23y14)1k (x22y13)50,
k e R, is a :
(1) circle of radius 2 .
(2) circle of radius 3 .
(3) straight line parallel to x-axis.
(4) straight line parallel to y-axis.
38. ( )( )
0
1 cos 2 3 cos
tan 4x
x xlim
x x→
2 1
is equal to :
(1) 2
(2)
1
2
(3) 4
(4) 3
39. The distance of the point (1, 0, 2) from the
point of intersection of the line
12 2
3 4 12
yx z12 2
5 5 and the plane
x2y1z516, is :
(1) 3 21
(2) 13
(3) 2 14
(4) 8
37. çÕ´Îé (2, 3) ·ð¤ ÚðU¹æ
(2x23y14)1k (x22y13)50, k e R ×ð´
ÂýçÌçÕ´Õ ·¤æ çÕ´ÎéÂÍ °·¤ Ñ
(1) 2 ç˜æ’Øæ ·¤æ ßëžæ ãñÐ
(2) 3 ç˜æ’Øæ ·¤æ ßëžæ ãñÐ
(3) x-¥ÿæ ·ð¤ â×æ´ÌÚU ÚðU¹æ ãñÐ
(4) y-¥ÿæ ·ð¤ â×æ´ÌÚU ÚðU¹æ ãñÐ
38. ( )( )
0
1 cos 2 3 cos
tan 4x
x xlim
x x→
2 1
ÕÚUæÕÚU ãñ Ñ
(1) 2
(2)
1
2
(3) 4
(4) 3
39. ÚðU¹æ
12 2
3 4 12
yx z12 2
5 5 ÌÍæ â×ÌÜ
x2y1z516 ·ð¤ ÂýçÌ‘ÀðUÎ çÕ´Îé ·¤è, çÕ´Îé (1, 0, 2)
âð ÎêÚUè ãñ Ñ
(1) 3 21
(2) 13
(3) 2 14
(4) 8
22. D/Page 22 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
40. The sum of coefficients of integral powers
of x in the binomial expansion of
( )
50
1 2 x2 is :
(1) ( )501
3 1
2
2
(2) ( )501
2 1
2
1
(3) ( )501
3 1
2
1
(4) ( )501
3
2
41. The sum of first 9 terms of the series
3 3 3 3 33
1 2 1 2 31
....
1 1 3 1 3 5
1 1 1
1 1 1
1 1 1
is :
(1) 142
(2) 192
(3) 71
(4) 96
42. The area (in sq. units) of the region
described by
{(x, y) : y2 [ 2x and y / 4x 2 1} is :
(1)
15
64
(2)
9
32
(3)
7
32
(4)
5
64
40. ( )
50
1 2 x2 ·ð¤ çmÂÎ ÂýâæÚU ×ð´ x ·¤è Âê‡ææZ·¤èØ
ƒææÌæ𴠷𤠻é‡ææ´·¤æð´ ·¤æ Øæð» ãñ Ñ
(1) ( )501
3 1
2
2
(2) ( )501
2 1
2
1
(3) ( )501
3 1
2
1
(4) ( )501
3
2
41. Ÿæð‡æè
3 3 3 3 33
1 2 1 2 31
....
1 1 3 1 3 5
1 1 1
1 1 1
1 1 1
·ð¤
Âý‰æ× 9 ÂÎæð´ ·¤æ Øæð» ãñ Ñ
(1) 142
(2) 192
(3) 71
(4) 96
42. {(x, y) : y2[ 2x ÌÍæ y / 4x 2 1} mæÚUæ ÂçÚUÖæçáÌ
ÿæð˜æ ·¤æ ÿæð˜æÈ¤Ü (ß»ü §·¤æ§Øæð´) ×ð´ ãñ Ñ
(1)
15
64
(2)
9
32
(3)
7
32
(4)
5
64
24. D/Page 24 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
46. The number of integers greater than 6,000
that can be formed, using the digits 3, 5, 6,
7 and 8, without repetition, is :
(1) 120
(2) 72
(3) 216
(4) 192
47. Let y(x) be the solution of the differential
equation
d
( log ) 2 log , ( 1).
d
y
x x y x x x
x
1 5 /
Then y(e) is equal to :
(1) 2
(2) 2e
(3) e
(4) 0
48. If
1 2 2
A 2 1 2
a 2 b
5 2 is a matrix satisfying
the equation AAT59I, where I is 333
identity matrix, then the ordered pair
(a, b) is equal to :
(1) (2, 1)
(2) (22, 21)
(3) (2, 21)
(4) (22, 1)
46. ¥´·¤æð´ 3, 5, 6, 7 ÌÍæ 8 ·ð¤ ÂýØæð» âð, çÕÙæ ÎæðãÚUæØð,
ÕÙÙð ßæÜð 6,000 âð ÕǸð Âê‡ææZ·¤æð´ ·¤è â´Øæ ãñ Ñ
(1) 120
(2) 72
(3) 216
(4) 192
47. ×æÙæ ¥ß·¤Ü â×è·¤ÚU‡æ
d
( log ) 2 log , ( 1)
d
y
x x y x x x
x
1 5 /
·¤æ ãÜ y(x) ãñ, Ìæð y(e) ÕÚUæÕÚU ãñ Ñ
(1) 2
(2) 2e
(3) e
(4) 0
48. ØçÎ
1 2 2
A 2 1 2
a 2 b
5 2 °·¤ °ðâæ ¥æÃØêã ãñ Áæð
¥æÃØêã â×è·¤ÚU‡æ AAT59I, ·¤æð â´ÌécÅU ·¤ÚUÌæ ãñ,
Áãæ¡ I, 333 ·¤æ ̈â×·¤ ¥æÃØêã ãñ, Ìæð ·ý¤ç×Ì Øé‚×
(a, b) ·¤æ ×æÙ ãñ Ñ
(1) (2, 1)
(2) (22, 21)
(3) (2, 21)
(4) (22, 1)
25. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãD/Page 25
49. If m is the A.M. of two distinct real
numbers l and n (l, n > 1) and G1, G2 and
G3 are three geometric means between l
and n, then 4 4 4
1 2 3G 2G G1 1 equals.
(1) 4 lmn2
(2) 4 l2m2n2
(3) 4 l2mn
(4) 4 lm2n
50. The negation of ~ s Ú (~ r Ù s ) is equivalent
to :
(1) s Ú (r Ú ~ s)
(2) s Ù r
(3) s Ù ~ r
(4) s Ù (r Ù ~ s)
51. The integral 3
42 4
d
( 1)
x
x x
∫ 1
equals :
(1)
1
44
( 1) cx2 1 1
(2)
1
44
4
1
c
x
x
1
2 1
(3)
1
44
4
1
c
x
x
1
1
(4)
1
44
( 1) cx 1 1
49. ØçÎ Îæð çßçÖ‹Ù ßæSÌçß·¤ â´Øæ¥æð´ l ÌÍæ n
(l, n > 1) ·¤æ â×æ´ÌÚU ×æŠØ (A.M.) m ãñ ¥æñÚU l ÌÍæ
n ·ð¤ Õè¿ ÌèÙ »é‡ææðžæÚU ×æŠØ (G.M.) G1, G2 ÌÍæ
G3 ãñ´, Ìæð 4 4 4
1 2 3G 2G G1 1 ÕÚUæÕÚU ãñ Ñ
(1) 4 lmn2
(2) 4 l2m2n2
(3) 4 l2mn
(4) 4 lm2n
50. ~ s Ú (~ r Ù s ) ·¤æ çÙáðÏ â×ÌéËØ ãñ Ñ
(1) s Ú (r Ú ~ s)
(2) s Ù r
(3) s Ù ~ r
(4) s Ù (r Ù ~ s)
51. â×æ·¤Ü 3
42 4
d
( 1)
x
x x
∫ 1
ÕÚUæÕÚU ãñ Ñ
(1)
1
44
( 1) cx2 1 1
(2)
1
44
4
1
c
x
x
1
2 1
(3)
1
44
4
1
c
x
x
1
1
(4)
1
44
( 1) cx 1 1
26. D/Page 26 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
52. The normal to the curve, x212xy23y250,
at (1, 1) :
(1) meets the curve again in the third
quadrant.
(2) meets the curve again in the fourth
quadrant.
(3) does not meet the curve again.
(4) meets the curve again in the second
quadrant.
53. Let
1 1 1
2
2
tan tan tan ,
1
x
y x
x
2 2 2
5 1
2
where
1
<
3
x? ? . Then a value of y is :
(1)
3
2
3
1 3
x x
x
2
1
(2)
3
2
3
1 3
x x
x
1
1
(3)
3
2
3
1 3
x x
x
2
2
(4)
3
2
3
1 3
x x
x
1
2
54. If the function.
1 , 0 3
g( )
m 2 , 3 < 5
k x x
x
x x
1 [ [
5
1 [
is differentiable, then the value of k1m is :
(1)
10
3
(2) 4
(3) 2
(4)
16
5
52. ß·ý¤ x212xy23y250 ·ð¤ çÕ´Îé (1, 1) ÂÚU
¥çÖÜÕ Ñ
(1) ß·ý¤ ·¤æð ÎæðÕæÚUæ ÌëÌèØ ¿ÌéÍæZàæ ×ð´ ç×ÜÌæ ãñÐ
(2) ß·ý¤ ·¤æð ÎæðÕæÚUæ ¿ÌéÍü ¿ÌéÍæZàæ ×ð´ ç×ÜÌæ ãñÐ
(3) ß·ý¤ ·¤æð ÎæððÕæÚUæ Ùãè´ ç×ÜÌæÐ
(4) ß·ý¤ ·¤æð ÎæðÕæÚUæ çmÌèØ ¿ÌéÍæZàæ ×ð´ ç×ÜÌæ ãñÐ
53. ×æÙæ
1 1 1
2
2
tan tan tan ,
1
x
y x
x
2 2 2
5 1
2
Áãæ¡
1
<
3
x? ? ãñ, Ìæð y ·¤æ °·¤ ×æÙ ãñ Ñ
(1)
3
2
3
1 3
x x
x
2
1
(2)
3
2
3
1 3
x x
x
1
1
(3)
3
2
3
1 3
x x
x
2
2
(4)
3
2
3
1 3
x x
x
1
2
54. ØçΠȤÜÙ
1 , 0 3
g( )
m 2 , 3 < 5
k x x
x
x x
1 [ [
5
1 [
¥ß·¤ÜÙèØ ãñ, Ìæð k1m ·¤æ ×æÙ ãñ Ñ
(1)
10
3
(2) 4
(3) 2
(4)
16
5
27. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãD/Page 27
55. 16 Âýðÿæ‡ææð´ ßæÜð ¥æ¡·¤Ç¸æð´ ·¤æ ×æŠØ 16 ãñÐ ØçÎ °·¤
Âýðÿæ‡æ çÁâ·¤æ ×æÙ 16 ãñ, ·¤æð ãÅUæ ·¤ÚU, 3 ÙØð Âýðÿæ‡æ
çÁÙ·ð¤ ×æÙ 3, 4 ÌÍæ 5 ãñ´, ¥æ¡·¤Ç¸æð´ ×ð´ ç×Üæ çÎØð ÁæÌð
ãñ´, Ìæð ÙØð ¥æ¡·¤Ç¸æð´ ·¤æ ×æŠØ ãñ Ñ
(1) 15.8
(2) 14.0
(3) 16.8
(4) 16.0
56. â×æ·¤Ü
4 2
2 2
2
log
d
log log (36 12 )
x
x
x x x
∫ 1 2 1
ÕÚUæÕÚU ãñ Ñ
(1) 1
(2) 6
(3) 2
(4) 4
57. ×æÙæ a ÌÍæ b çmƒææÌ â×è·¤ÚU‡æ x226x2250 ·ð¤
×êÜ ãñ´Ð ØçÎ n/1 ·ð¤ çÜ°, an5an2bn ãñ, Ìæð
10 8
9
a 2a
2a
2
·¤æ ×æÙ ãñ Ñ
(1) 3
(2) 23
(3) 6
(4) 26
55. The mean of the data set comprising of 16
observations is 16. If one of the observation
valued 16 is deleted and three new
observations valued 3, 4 and 5 are added
to the data, then the mean of the resultant
data, is :
(1) 15.8
(2) 14.0
(3) 16.8
(4) 16.0
56. The integral
4 2
2 2
2
log
d
log log (36 12 )
x
x
x x x
∫ 1 2 1
is equal to :
(1) 1
(2) 6
(3) 2
(4) 4
57. Let a and b be the roots of equation
x226x2250. If an5an2bn, for n/1,
then the value of 10 8
9
a 2a
2a
2
is equal to :
(1) 3
(2) 23
(3) 6
(4) 26
28. D/Page 28 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
58. ×æÙæ f (x) ƒææÌ 4 ·¤æ °·¤ ÕãéÂÎ ãñ çÁâ·ð¤
x51 ÌÍæ x52 ÂÚU ¿ÚU× ×æÙ ãñ´Ð ØçÎ
20
( )
1 3
x
f x
lim
x→
1 5 ãñ, Ìæð f (2) ÕÚUæÕÚU ãñ Ñ
(1) 0
(2) 4
(3) 28
(4) 24
59. Îèƒæüßëžæ
22
1
9 5
yx
1 5 ·ð¤ ÙæçÖÜÕæð´ ·ð¤ çâÚUæð´ ÂÚU
¹è´¿è »§ü SÂàæü ÚðU¹æ¥æð´ mæÚUæ çÙç×üÌ ¿ÌéÖéüÁ ·¤æ ÿæð˜æȤÜ
(ß»ü §·¤æ§Øæð´ ×ð´) ãñ Ñ
(1)
27
2
(2) 27
(3)
27
4
(4) 18
60. ØçÎ 12 °·¤ Áñâè »ð´Îð´, 3 °·¤ Áñâð Õ€âæð´ ×ð´ ÚU¹è ÁæÌè
ãñ´, Ìæð §Ù×ð´ âð °·¤ Õ€âð ×ð´ ÆUè·¤ 3 »ð´Îð´ ãæðÙð ·¤è
ÂýæçØ·¤Ìæ ãñ Ñ
(1)
12
1
220
3
(2)
11
1
22
3
(3)
11
55 2
3 3
(4)
10
2
55
3
58. Let f (x) be a polynomial of degree four
having extreme values at x51 and x52.
If 20
( )
1 3
x
f x
lim
x→
1 5 , then f (2) is equal
to :
(1) 0
(2) 4
(3) 28
(4) 24
59. The area (in sq. units) of the quadrilateral
formed by the tangents at the end points
of the latera recta to the ellipse
22
1
9 5
yx
1 5 , is :
(1)
27
2
(2) 27
(3)
27
4
(4) 18
60. If 12 identical balls are to be placed in 3
identical boxes, then the probability that
one of the boxes contains exactly 3 balls
is :
(1)
12
1
220
3
(2)
11
1
22
3
(3)
11
55 2
3 3
(4)
10
2
55
3
34. D/Page 34 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
76. The molecular formula of a commercial
resin used for exchanging ions in water
softening is C8H7SO3Na (Mol. wt. 206).
What would be the maximum uptake of
Ca21 ions by the resin when expressed in
mole per gram resin ?
(1)
2
309
(2)
1
412
(3)
1
103
(4)
1
206
77. Two Faraday of electricity is passed
through a solution of CuSO4. The mass of
copper deposited at the cathode is :
(at. mass of Cu563.5 amu)
(1) 2 g
(2) 127 g
(3) 0 g
(4) 63.5 g
78. The number of geometric isomers that can
exist for square planar [Pt (Cl) (py) (NH3)
(NH2OH)]1 is (py 5 pyridine) :
(1) 4
(2) 6
(3) 2
(4) 3
76. °·¤ ßæç‡æ’Ø ÚðUç$ÁÙ ·¤æ ¥æç‡ß·¤ âê˜æ C8H7SO3Na
ãñ (¥æç‡ß·¤ ÖæÚU = 206) §â ÚðUç$ÁÙ ·¤è Ca21
¥æØÙ ·¤è ¥çÏ·¤Ì× ¥´Ì»ýüã‡æ ÿæ×Ìæ (×æðÜ ÂýçÌ
»ýæ× ÚðUç$ÁÙ) €Øæ ãñ?
(1)
2
309
(2)
1
412
(3)
1
103
(4)
1
206
77. CuSO4 ·ð¤ °·¤ çßÜØÙ ×ð´, Îæð Èñ¤ÚUæÇðU çßléÌ ÂýßæçãÌ
·¤è »§üÐ ·ñ¤ÍæðÇU ÂÚU çÙÿæðçÂÌ Ìæ´Õð ·¤æ ÎýÃØ×æÙ ãñ :
(Cu ·¤æ ÂÚU×æç‡ß·¤ ÎýÃØ×æÙ 563.5 amu)
(1) 2 g
(2) 127 g
(3) 0 g
(4) 63.5 g
78. ß»ü â×ÌÜèØ [Pt (Cl) (py) (NH3) (NH2OH)]1
(py 5 pyridine) ·ð¤ ’Øæç×ÌèØ â×æßØçßØæð´ ·¤è
â´Øæ ãñ Ñ
(1) 4
(2) 6
(3) 2
(4) 3
36. D/Page 36 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
83. The vapour pressure of acetone at 208C is
185 torr. When 1.2 g of a non-volatile
substance was dissolved in 100 g of acetone
at 208C, its vapour pressure was 183 torr.
The molar mass (g mol21) of the substance
is :
(1) 128
(2) 488
(3) 32
(4) 64
84. Which among the following is the most
reactive ?
(1) I2
(2) ICl
(3) Cl2
(4) Br2
85. The standard Gibbs energy change at
300 K for the reaction 2A B C1ì is
2494.2 J. At a given time, the composition
of the reaction mixture is
1
[A]
2
5 , [B]52
and
1
[C]
2
5 . The reaction proceeds in
the : [R58.314 J/K/mol, e52.718]
(1) forward direction because Q < Kc
(2) reverse direction because Q < Kc
(3) forward direction because Q > Kc
(4) reverse direction because Q > Kc
83. 208C ÂÚU °ðçâÅUæðÙ ·¤è ßæc ÎæÕ 185 torr ãñÐ ÁÕ
208C ÂÚU, 1.2 g ¥ßæcÂàæèÜ ÂÎæÍü ·¤æð 100 g
°ðçâÅUæðÙ ×ð´ ƒææðÜæ »Øæ, ÌÕ ßæc ÎæÕ 183 torr ãæð
»ØæÐ §â ÂÎæÍü ·¤æ ×æðÜÚU ÎýÃØ×æÙ (g mol21 ×ð´)
ãñ Ñ
(1) 128
(2) 488
(3) 32
(4) 64
84. çÙÙçÜç¹Ì ×ð´ âð ·¤æñÙ âßæüçÏ·¤ ¥çÖç·ý¤ØæàæèÜ ãñ?
(1) I2
(2) ICl
(3) Cl2
(4) Br2
85. 300 K ÂÚU ¥çÖç·ý¤Øæ 2A B C1ì ·¤è ×æÙ·¤
绎$Á ª¤Áæü 2494.2 J ãñÐ çΰ »° â×Ø ×ð´
¥çÖç·ý¤Øæ çןæ‡æ ·¤æ â´ƒæÅUÙ
1
[A]
2
5 ,
[B]52 ¥æñÚU
1
[C]
2
5 ãñÐ ¥çÖç·ý¤Øæ ¥»ýçâÌ ãæðÌè
ãñ Ñ [R58.314 J/K/mol, e52.718]
(1) ¥»ý çÎàææ ×ð´ €Øæð´ç·¤ Q < Kc
(2) çßÂÚUèÌ çÎàææ ×ð´ €Øæð´ç·¤ Q < Kc
(3) ¥»ý çÎàææ ×ð´ €Øæð´ç·¤ Q > Kc
(4) çßÂÚUèÌ çÎàææ ×ð´ €Øæð´ç·¤ Q > Kc
38. D/Page 38 SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
89. The following reaction is performed at
298 K.
2 22NO(g) O (g) 2NO (g)1 ì
The standard free energy of formation of
NO(g) is 86.6 kJ/mol at 298 K. What is
the standard free energy of formation of
NO2(g) at 298 K? (Kp51.631012)
(1)
12
n (1.6 10 )
86600
R (298)
l 3
2
(2) 0.5[2386,6002R(298) ln(1.631012)]
(3) R(298) ln(1.631012)286600
(4) 866001R(298) ln(1.631012)
90. From the following statements regarding
H2O2, choose the incorrect statement :
(1) It has to be stored in plastic or wax
lined glass bottles in dark
(2) It has to be kept away from dust
(3) It can act only as an oxidizing agent
(4) It decomposes on exposure to light
- o 0 o -
89. çÙÙçÜç¹Ì ¥çÖç·ý¤Øæ ·¤æð 298 K ÂÚU ç·¤Øæ »ØæÐ
2 22NO(g) O (g) 2NO (g)1 ì
298 K ÂÚU NO(g) ·ð¤ â´ÖßÙ ·¤è ×æÙ·¤ ×é€Ì ª¤Áæü
86.6 kJ/mol ãñÐ 298 K ÂÚU NO2(g) ·¤è ×æÙ·¤
×é€Ì ª¤Áæü €Øæ ãñ? (Kp51.631012)
(1)
12
n (1.6 10 )
86600
R (298)
l 3
2
(2) 0.5[2386,6002R(298) ln(1.631012)]
(3) R(298) ln(1.631012)286600
(4) 866001R(298) ln(1.631012)
90. H2O2 ·ð¤ â´ÎÖü ×ð´, çÙÙçÜç¹Ì ·¤ÍÙæð´ ×ð´ âð »ÜÌ
·¤ÍÙ ¿éçÙ° Ñ
(1) §âð ŒÜæçSÅU·¤ Øæ ×æð×¥ÅðU ·¤æ´¿ ÕæðÌÜæð´ ×ð´ ¥´ÏðÚðU
×ð´ â´»ýçãÌ ç·¤Øæ ÁæÌæ ãñ
(2) §âð ÏêÜ âð ÎêÚU ÚU¹Ùæ ¿æçã°
(3) Øã ·ð¤ßÜ ¥æò€âè·¤æÚU·¤ ãñ
(4) Âý·¤æàæ ×ð´ §â·¤æ ¥ÂƒæÅUÙ ãæðÌæ ãñ
- o 0 o -
39. SPACE FOR ROUGH WORK / ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ãD/Page 39
SPACE FOR ROUGH WORK / ÚȤ ·¤æØü ·ð¤ çÜ° Á»ã