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PAPER - 1
ÂýàÙÂéçSÌ·¤æ -
No. :
RST
: PHYSICS, CHEMISTRY & MATHEMATICS
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Test Booklet Code
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Öæ» A — ÖæñçÌ·¤ çߙææÙ
PART A — PHYSICS
1.
The current voltage relation of diode is
given by
I5(e1000V/T21)
1.
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
°·¤ ÇUæØæð Ç U ·¤è ÏæÚUæ-ßæð Ë ÅUÌæ 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 ×𴠘æéçÅU €Øæ ãæð»è?
5 mA at 300 K, what will be the error in
the value of current in mA ?
2.
(1)
0.2 mA
(1)
0.2 mA
(2)
0.02 mA
(2)
0.02 mA
(3)
0.5 mA
(3)
0.5 mA
(4)
0.05 mA
(4)
0.05 mA
From a tower of height H, a particle is
2.
thrown vertically upwards with a
speed u. The time taken by the particle, to
hit the ground, is n times that taken by it
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× çՋÎé
Ì·¤ Âãé¡¿Ùð ·ð¤ â×Ø ·¤æ n »éÙæ ãñ´Ð
to reach the highest point of its path.
The relation between H, u and n is :
H, u °ß´ n ·ð¤
Õè¿ âÕ‹Ï ãñ Ñ
(1)
2 g H5n2u2
(1)
2 g H5n2u2
(2)
g H5(n22)2u2
(2)
g H5(n22)2u2
(3)
2 g H5nu2(n22)
(3)
2 g H5nu2(n22)
(4)
g H5(n22)u2
(4)
g H5(n22)u2
E/Page 2
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
3.
A mass ‘m’ is supported by a massless
3.
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
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?
release ?
4.
(1)
2g
3
(1)
2g
3
(2)
g
2
(2)
g
2
(3)
5g
6
(3)
5g
6
(4)
g
(4)
g
A block of mass m is placed on a surface
4.
with a vertical cross section given by
x3
. If the coefficient of friction is 0.5,
6
the maximum height above the ground at
y5
which the block can be placed without
°·¤ ÂëcÆU ÂÚU °·¤ ÎýÃØ×æÙ
(1)
1
m
6
(1)
1
m
6
(2)
2
m
3
(2)
2
m
3
(3)
1
m
3
(3)
1
m
3
(4)
1
m
2
(4)
1
m
2
SPACE FOR ROUGH WORK /
·¤æ ŽÜæò·¤ ÚU¹æ ãñÐ
x3
ÂëcÆU ·¤è ª¤ŠßæüÏÚU ¥ÙéÂýSÍ ·¤æÅU y5 âð Îè ÁæÌè
6
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
slipping is :
E/Page 3
m
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
5.
When a rubber-band is stretched by a
5.
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 :
6.
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
(1)
aL21bL3
(2)
1
(aL21bL3)
2
(2)
1
(aL21bL3)
2
(3)
aL2
bL3
1
2
3
(3)
aL2
bL3
1
2
3
(4)
1 ÌË aL2
bL3 ÜÛÜ
ÌÌ
1
Ü
2 ÌÍ 2
3 ÜÜÝ
(4)
1 ÌË aL2
bL3 ÜÛÜ
ÌÌ
1
Ü
2 ÌÍ 2
3 ÜÜÝ
A bob of mass m attached to an
6.
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
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 ×𴠃æê‡æüÙ ·¤ÚUÌæ ãñÐ çÙÜ´ÕÙ çՋÎé
ÂÚU Ñ
the point of suspension :
(1)
angular momentum is conserved.
(1)
·¤æð‡æèØ â´ßð» â´ÚUçÿæÌ ÚUãÌæ ãñÐ
(2)
angular momentum changes in
(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
magnitude but not in direction.
(3)
angular momentum changes in
direction but not in magnitude.
(4)
angular momentum changes both in
direction and magnitude.
E/Page 4
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
7.
Four particles, each of mass M and
7.
equidistant from each other, move along
a circle of radius R under the action of their
mutual gravitational attraction. The speed
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
of each particle is :
8.
(1)
GM
R
(1)
GM
R
(2)
2 2
(2)
2 2
(3)
GM
(1 1 2 2 )
R
(3)
GM
(1 1 2 2 )
R
(4)
1 GM
(1 1 2 2 )
2 R
(4)
1 GM
(1 1 2 2 )
2 R
GM
R
The pressure that has to be applied to the
8.
ends of a steel wire of length 10 cm to keep
its length constant when its temperature
GM
R
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
is raised by 1008C is :
(For
steel
Young’s
modulus
is
231011 N m22 and coefficient of thermal
expansion is 1.131025 K21)
(SÅUèÜ ·¤æ Ø´» ÂýˆØæSÍÌæ »é‡ææ´·¤ 231011 N m22
¥æñÚU ÚðUç¹·¤ ÂýâæÚU »é‡ææ´·¤ 1.131025 K21 ãñ´)
(1)
2.23108 Pa
(1)
2.23108
ÂæS·¤Ü
(2)
2.23109 Pa
(2)
2.23109
ÂæS·¤Ü
(3)
2.23107 Pa
(3)
2.23107
ÂæS·¤Ü
(4)
2.23106 Pa
(4)
2.23106
ÂæS·¤Ü
E/Page 5
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
9.
There is a circular tube in a vertical plane.
9.
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
d1
an angle a with vertical. Ratio d is :
2
°·¤ 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
d1
d2
ãñ Ñ
(1)
1 1 sin a
1 2 sin a
(1)
1 1 sin a
1 2 sin a
(2)
1 1 cosa
1 2 cosa
(2)
1 1 cosa
1 2 cosa
(3)
1 1 tan a
1 2 tan a
(3)
1 1 tan a
1 2 tan a
(4)
1 1 sin a
1 2 cosa
(4)
1 1 sin a
1 2 cosa
E/Page 6
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
10.
On heating water, bubbles being formed
10.
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
ÂæÙè ·¤æð »×ü ·¤ÚUÙð ÂÚU, ÕÌüÙ ·¤è ÌÜè ×ð´ ÕéÜÕéÜð
ÕÙÌð ãñ´ ¥æñÚU çß܂٠ãæð·¤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
çß܂٠ãæðÙð âð ÁÚUæ ÂãÜð r ·¤æ ×æÙ ãñ´ Ñ
of r just before bubbles detatch is :
(density of water is r )
w
(1)
R2
rw g
(2)
R2
rw g
(3)
R2
rw g
(4)
R2
3rw g
E/Page 7
3T
6T
T
T
SPACE FOR ROUGH WORK /
(ÂæÙè ·¤æ ƒæÙˆß rw ãñ)
(1)
R2
rw g
(2)
R2
rw g
(3)
R2
rw g
(4)
R2
3rw g
3T
6T
T
T
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
11.
Three rods of Copper, Brass and Steel are
11.
welded together to form a Y - shaped
structure. Area of cross - section of each
rod54 cm 2 .
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
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
0.12 CGS units respectively. Rate of heat
flow through copper rod is :
12.
(1)
1.2 cal/s
(1)
1.2 cal/s
(2)
2.4 cal/s
(2)
2.4 cal/s
(3)
4.8 cal/s
(3)
4.8 cal/s
(4)
6.0 cal/s
(4)
6.0 cal/s
One mole of diatomic ideal gas undergoes
12.
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
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
correct statement :
(1)
The change in internal energy in
(1)
whole cyclic process is 250 R.
(2)
The change in internal energy in the
(2)
process CA is 700 R.
(3)
The change in internal energy in the
(3)
process AB is 2350 R.
(4)
The change in internal energy in the
process BC is 2500 R.
E/Page 8
SPACE FOR ROUGH WORK /
(4)
âÂê‡æü ¿·ý¤èØ Âýç·ý¤Øæ ×ð´ ¥æ‹ÌçÚU·¤ ª¤Áæü ×ð´
ÂçÚUßÌüÙ 250 R ãñÐ
Âýç·ý¤Øæ CA ×ð´ ¥æ‹ÌçÚU·¤ ª¤Áæü ×ð´ ÂçÚUßÌüÙ
700 R ãñÐ
Âýç·ý¤Øæ AB ×ð´ ¥æ‹ÌçÚU·¤ ª¤Áæü ×ð´ ÂçÚUßÌüÙ
2350 R ãñÐ
Âýç·ý¤Øæ BC ×ð´ ¥æ‹ÌçÚU·¤ ª¤Áæü ×ð´ ÂçÚUßÌüÙ
2500 R ãñÐ
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
13.
An open glass tube is immersed in mercury
13.
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
°·¤ 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 ՋΠ·¤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?
column above mercury in the tube now ?
14.
(Atmospheric pressure 576 cm of Hg)
(ßæØé×´ÇUÜèØ ÎæÕ5Hg ·¤æ
(1)
16 cm
(1)
16 cm
(2)
22 cm
(2)
22 cm
(3)
38 cm
(3)
38 cm
(4)
6 cm
(4)
6 cm
A particle moves with simple harmonic
14.
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
76 cm)
°·¤ ·¤‡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
direction, then :
15.
(1)
amplitude of motion is 3a
(1)
»çÌ ·¤æ ¥æØæ× 3a ãñÐ
(2)
time period of oscillations is 8t
(2)
ÎæðÜÙæð´ ·¤æ ¥æßÌü ·¤æÜ 8t ãñÐ
(3)
amplitude of motion is 4a
(3)
»çÌ ·¤æ ¥æØæ× 4a ãñÐ
(4)
time period of oscillations is 6t
(4)
ÎæðÜÙæð´ ·¤æ ¥æßÌü ·¤æÜ 6t ãñÐ
velocity of sound in air is 340 m/s.
ܐÕæ§ü 85 cm ·ð¤ °·¤ Âæ§Â ·ð¤ °·¤ çâÚðU ·¤æð ՋÎ
·¤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 ×𴠊ßçÙ ·¤æ ßð»
340 m/s ãñÐ
(1)
12
(1)
12
(2)
8
(2)
8
(3)
6
(3)
6
(4)
4
(4)
4
A pipe of length 85 cm is closed from one
15.
end. Find the number of possible natural
oscillations of air column in the pipe whose
frequencies lie below 1250 Hz.
E/Page 9
The
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
16.
“
¾
Assume that an electric field E 5 30 x 2 i
exists in space. Then the potential
16.
difference V A 2V O , where V O is the
potential at the origin and VA the potential
“
¾
×æÙ Üð´ ÃØæð× ×ð´ °·¤ çßléÌ ÿæð˜æ E 5 30 x 2 i ãñÐ
ÌÕ çßÖßæ‹ÌÚU VA2VO, Áãæ¡ VO ×êÜçՋÎé ÂÚU
çßÖß °ß´ VA, x52 m ÂÚU çßÖß ãñ´, ãñ Ñ
at x52 m is :
17.
(1)
120 J
(1)
120 J
(2)
2120 J
(2)
2120 J
(3)
280 J
(3)
280 J
(4)
80 J
(4)
80 J
A parallel plate capacitor is made of two
17.
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,
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
the charge density of the positive plate will
be close to :
18.
(1)
631027 C/m2
(1)
631027 C/m2
(2)
331027 C/m2
(2)
331027 C/m2
(3)
33104 C/m2
(3)
33104 C/m2
(4)
63104 C/m2
(4)
63104 C/m2
In a large building, there are 15 bulbs of
18.
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
°·¤ 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
capacity of the main fuse of the building
will be :
(1)
8A
(1)
8A
(2)
10 A
(2)
10 A
(3)
12 A
(3)
12 A
(4)
14 A
(4)
14 A
E/Page 10
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
19.
A conductor lies along the z-axis
19.
at 21.5 [ z < 1.5 m and carries
ÂÚU ÚU¹æ ãñ ¥æñÚU §â×ð´
¾
a fixed current of 10.0 A in 2 a z
direction (see figure).
“
B
53.0310 24
e 20.2x
10.0 A
For a field
¾
2 az
çÎàææ ×ð´ çSÍÚU ÏæÚUæ
ÂýßæçãÌ ãæð ÚUãè ãñÐ (翘æ Îð¹ð´)Ð ÿæð˜æ
¾
“
B 53.0310 24 e 20.2x a y T
¾
a y T, find the
·ð ¤ çÜØð ,
the x-axis.
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
(1)
1.57 W
(2)
2.97 W
(2)
2.97 W
(3)
14.85 W
(3)
14.85 W
(4)
29.7 W
(4)
29.7 W
power required to move the conductor at
constant speed to x52.0 m, y50 m in
531023 s. Assume parallel motion along
20.
°·¤ âé¿æÜ·¤ z-¥ÿæ ·ð¤ âæÍ 21.5 [ z < 1.5 m
The coercivity of a small magnet where the
20.
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 :
°·¤ ÀUæðÅðU ¿éÕ·¤ ·¤è çÙ»ýæçãÌæ, Áãæ¡ Üæðã¿éÕ·¤
¥¿éÕ·¤èØ ãæð ÁæÌæ ãñ, 33103 A m21 ãñÐ ¿·ý¤æð´
·¤è ⴁØæ 100 °ß´ ܐÕæ§ü 10 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)
30 mA
(1)
30 mA
(2)
60 mA
(2)
60 mA
(3)
3A
(3)
3A
(4)
6A
(4)
6A
E/Page 11
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
21.
In the circuit shown here, the point ‘C’ is
21.
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
Øãæ¡ ÎàææüØð »Øð ÂçÚUÂÍ ×ð´, çՋÎé ‘C’ ·¤æð çՋÎé ‘A’ âð
ÌÕ Ì·¤ ÁæðǸð ÚU¹æ ÁæÌæ ãñ ÁÕ Ì·¤ ç·¤ ÂçÚUÂÍ ×ð´
ÂýßæçãÌ ÏæÚUæ çSÍÚU Ù ãæð Áæ°Ð ̈Âà¿æÌ÷, ¥¿æÙ·¤,
çՋÎé ‘C’ ·¤æð çՋÎé ‘A’ âð ãÅUæ·¤ÚU çՋÎé ‘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
of the voltage across resistance and the
inductor at t5L/R will be equal to :
e
12 e
(1)
e
12 e
(2)
1
(2)
1
(3)
21
(3)
21
(4)
22.
(1)
12 e
e
(4)
12 e
e
waves in a medium :
°·¤ ×æŠØ× ×ð´ çßléÌ ¿éÕ·¤èØ ÌÚ´U»æð´ ·ð¤ â´¿ÚU‡æ ·ð¤
ÎæñÚUæÙ Ñ
(1)
(1)
çßléÌèØ ª¤Áæü ƒæÙˆß ¿éÕ·¤èØ ª¤Áæü ƒæوß
·¤æ Îæð»éÙæ ãñÐ
(2)
çßléÌèØ ª¤Áæü ƒæÙˆß ¿éÕ·¤èØ ª¤Áæü ƒæوß
·¤æ ¥æÏæ ãñÐ
(3)
çßléÌèØ ª¤Áæü ƒæÙˆß ¿éÕ·¤èØ ª¤Áæü ƒæوß
·ð¤ ÕÚUæÕÚU ãñÐ
(4)
ÎæðÙæð´ çßléÌèØ °ß´ ¿éÕ·¤èØ ª¤Áæü ƒæÙˆß àæê‹Ø
ãñÐ
During the propagation of electromagnetic
22.
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.
E/Page 12
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
23.
A thin convex lens made from crown glass
Ë
·ý¤æ©Ù ·¤æ¡¿ ÌÌÍm 5
3 ÛÜ
Ü
2 ÜÝ
âð ÕÙð °·¤ ÂÌÜ𠩞æÜ Üð‹â
Ë
Û
ÌÌm 5 3 ÜÜ has focal length f. When it is
Í
2 ÜÝ
·¤è Ȥæð·¤â ܐÕæ§ü f ãñÐ ÁÕ §âð ¥ÂßÌüÙæ´·¤
measured in two different liquids having
5
3
refractive indices
24.
23.
4
5
and , it has the focal
3
3
4
3
°ß´
ßæÜð Îæð çÖóæ Îýßæð´ ×ð´ ÚU¹·¤ÚU ×æÂæ ÁæÌæ ãñ, ÌÕ
Ȥæð·¤â ܐÕæ§Øæ¡ ·ý¤×àæÑ
f1
°ß´
lengths f1 and f2 respectively. The correct
relation between the focal lengths is :
ܐÕæ§Øæð´ ·ð¤ Õè¿ âãè âÕ‹Ï ãñ Ñ
(1)
f15f2 < f
(1)
f15f2 < f
(2)
f1 > f and f2 becomes negative
(2)
f1 > f
(3)
f2 > f and f1 becomes negative
(3)
f2 > f ¥æñÚU f1 «¤‡ææˆ×·¤
(4)
f1 and f2 both become negative
(4)
f1 °ß´ f2 ÎæðÙæð´
f2
ãñ´Ð Ȥæð·¤â
¥æñÚU f2 «¤‡ææˆ×·¤ ãæð ÁæÌæ ãñÐ
ãæð ÁæÌæ ãñÐ
«¤‡ææˆ×·¤ ãæð ÁæÌð ãñ´Ð
angle(u). Select the correct statement.
°·¤ 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)
(1)
¥çÖÜÕ âð 908 ·¤æð‡æ ÂÚU ÂæÙè âð ÎëàØ Âý·¤æàæ
·¤æ âÂê‡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 âÂê‡æü SÂð€ÅþU× ÂæÙè âð
¥çÖÜÕ âð çßçÖóæ ·¤æð‡ææð´ ÂÚU ÕæãÚU çÙ·¤Üð»æÐ
A green light is incident from the water to
24.
the air - water interface at the critical
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.
E/Page 13
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
25.
Two beams, A and B, of plane polarized
25.
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.
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
If the initial
IA
IB
·¤æ ×æÙ ãñ Ñ
intensities of the two beams are IA and IB
IA
respectively, then I equals :
B
26.
(1)
3
(1)
3
(2)
3
2
(2)
3
2
(3)
1
(3)
1
(4)
1
3
(4)
1
3
The radiation corresponding to 3®2
transition of hydrogen atom falls on a
26.
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
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
function of the metal is close to :
(1)
1.8 eV
(1)
1.8 eV
(2)
1.1 eV
(2)
1.1 eV
(3)
0.8 eV
(3)
0.8 eV
(4)
1.6 eV
(4)
1.6 eV
E/Page 14
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
27.
Hydrogen (1H1), Deuterium (1H2), singly
ionised Helium ( 2 He 4 ) 1 and doubly
27.
ionised lithium ( 3Li 6 ) 11 all have one
electron around the nucleus. Consider an
electron transition from n52 to n51. If
the wave lengths of emitted radiation are
l 1 , l 2 , l 3 and l 4 respectively then
approximately which one of the following
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?
is correct ?
28.
(1)
4l152l252l35l4
(1)
4l152l252l35l4
(2)
l152l252l35l4
(2)
l152l252l35l4
(3)
l15l254l359l4
(3)
l15l254l359l4
(4)
l152l253l354l4
(4)
l152l253l354l4
The forward biased diode connection is :
28.
¥»ýçâÌ ÕæØâ ßæÜæ ÇUæØæðǸ ÁæðǸ ãñ Ñ
(1)
(1)
(2)
(2)
(3)
(3)
(4)
(4)
E/Page 15
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
29.
Match List - I (Electromagnetic wave type)
29.
with List - II (Its association/application)
and select the correct option from the
choices given below the lists :
List - I
(a)
Infrared
waves
List - II
(i)
ÇÏ¤Í - I
To treat muscular
strain
(b) Radio waves (ii) For broadcasting
30.
âê ¿ è - I (çßlé Ì ¿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
(c) X - rays
To detect fracture
(iii)
of bones
Ultraviolet
(d)
rays
Absorbed by the
(iv) ozone layer of the
atmosphere
(a)
(b)
(c)
(d)
(1)
(iv)
(iii)
(ii)
(i)
(2)
(i)
(ii)
(iv)
(3)
(iii)
(ii)
(4)
(i)
(ii)
ÇÏ¤Í - II
(a)
ŠÄ¿Uþ± ±¿™U Õ
(i)
¼Ë†Ç§ÕÌÅ˽Ëՙ œ‰Í ÌĜЉ̱
œÕ‰ ŒÁ˦ œÕ‰ ÌÁ½Õ
(b)
¿ÕU̬U½ËÕ ±¿™U Õ
(ii)
§âÇË¿UøË œÕ‰ ÌÁ½Õ
(c)
•þÇ-̜‰¿UøËՙ
(iii)
(d)
§¿U輅 ™ ¾Í
̜‰¿UøËՙ
(iv)
ÈÌa½Ëՙ œÕ‰ ŠÌS²»™ œ‰Í
§È¤Ë¾ œÕ‰ ÌÁ½Õ
Ä˱ËÄ¿UøË œ‰Í ŠËÕ¦
$ ËÕ¾
§¿U± mË¿UË ŠÄÅËËÕÆøË
(a)
(b)
(c)
(d)
(1)
(iv)
(iii)
(ii)
(i)
(iii)
(2)
(i)
(ii)
(iv)
(iii)
(i)
(iv)
(3)
(iii)
(ii)
(i)
(iv)
(iii)
(iv)
(4)
(i)
(ii)
(iii)
(iv)
A student measured the length of a rod
30.
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
°·¤ çßlæÍèü Ùð °·¤ ÀU Ç ¸ ·¤è ܐÕæ§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» ×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
main scale has 10 divisions in 1 cm.
(3)
A screw gauge having 100 divisions
(3)
°·¤ S·ý ê ¤ »ð $ Á çÁâ·ð ¤ ßçÙü Ø ÚU 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
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.
E/Page 16
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
Öæ» B — ÚUâæØÙ çߙææÙ
PART B — CHEMISTRY
31.
The correct set of four quantum numbers
31.
for the valence electrons of rubidium atom
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
(Z537) is :
32.
(1)
5, 0, 0, 1
1
2
(1)
5, 0, 0, 1
1
2
(2)
5, 1, 0, 1
1
2
(2)
5, 1, 0, 1
1
2
(3)
5, 1, 1, 1
1
2
(3)
5, 1, 1, 1
1
2
(4)
5, 0, 1, 1
1
2
(4)
5, 0, 1, 1
1
2
If
Z
is
a
compressibility
factor,
32.
van der Waals equation at low pressure
ØçÎ Z â´ÂèǸ٠»é‡æ·¤ ãæð Ìæð ·¤× ÎæÕ ÂÚU ßæ´ÇUÚßæËâ
â×è·¤ÚU‡æ ·¤æð çܹæ Áæ â·¤Ìæ ãñ Ñ
can be written as :
33.
(1)
Z511
RT
Pb
(1)
Z511
RT
Pb
(2)
Z512
a
VRT
(2)
Z512
a
VRT
(3)
Z512
Pb
RT
(3)
Z512
Pb
RT
(4)
Z511
Pb
RT
(4)
Z511
Pb
RT
CsCl crystallises in body centred cubic
33.
lattice. If ‘a’ is its edge length then which
of the following expressions is correct ?
·¤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?
CsCl
(1)
rCs1 1 rCl25 3a
(1)
rCs1 1 rCl25 3a
(2)
3a
rCs1 1 rCl25
2
(2)
3a
rCs1 1 rCl25
2
(3)
3
rCs1 1 rCl25
a
2
(3)
3
rCs1 1 rCl25
a
2
(4)
rCs1 1 rCl25 3a
(4)
rCs1 1 rCl25 3a
E/Page 17
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
34.
For the estimation of nitrogen, 1.4 g of an
34.
organic compound was digested by
M
Kjeldahl method and the evolved ammonia
M
was absorbed in 60 mL of
sulphuric
10
acid. The unreacted acid required 20 mL
M
of
sodium hydroxide for complete
10
neutralization. The percentage of nitrogen
ÌÍæ ×é€Ì ãé° ¥×æðçÙØæ ·¤æð 60 ç×Üè 10 âˍØêçÚU·¤
¥Ü ×ð´ ¥ßàææðçáÌ ç·¤Øæ »ØæÐ ¥çÏàæðá ¥Ü ·ð¤
Âê‡æü ©ÎæâèÙè·¤ÚU‡æ ·ð¤ çÜ° 20 ç×Üè
35.
6%
(2)
10%
(3)
3%
(4)
5%
Resistance of 0.2 M solution of an
electrolyte is 50 V.
The specific
35.
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 :
36.
(1)
5310 24
(2)
5310 23
(3)
5310 3
(4)
5310 2
For complete combustion of ethanol,
C2H5OH(l)13O2(g) ® 2CO2(g)13H2O(l),
36.
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
21350.50 kJ
mol21
(4)
E/Page 18
M
10
âæðçÇUØ×
ãæ§ÇþUæò€âæ§ÇU ·¤è ¥æßàØ·¤Ìæ ãé§üÐ Øæñç»·¤ ×ð́ Ùæ§ÅþUæðÁÙ
·¤è ÂýçÌàæÌÌæ ãñ Ñ
in the compound is :
(1)
Ùæ§ÅþUæðÁÙ ·ð¤ ¥æ·¤ÜÙ ·ð¤ çÜ° 1.4 »ýæ. ·¤æÕüçÙ·¤
Øæñç»·¤ ÁðËÇUæòÜ çßçÏ ·ð¤ ¥ÙéâæÚU ¥Âç¿Ì ç·¤Øæ »Øæ
SPACE FOR ROUGH WORK /
(1)
6%
(2)
10%
(3)
3%
(4)
5%
°·¤ ßñléÌ ¥ÂƒæÅ÷UØ ×ð´ 0.2 M çßÜØÙ ·¤æ ÂýçÌÚUæðÏ
50 V ãñ Ð §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)
5310 24
(2)
5310 23
(3)
5310 3
(4)
5310 2
°ÍðÙæòÜ ·ð¤ Âê‡æü ’ßÜÙ ·ð¤ çÜØð,
C2H5OH(l)13O2(g) ® 2CO2(g)13H2O(l),
Õ× ·ð ¤ Üæð Ú Uè×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
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
37.
The equivalent conductance of NaCl at
37.
concentration C and at infinite dilution are
l C and l : , respectively. The correct
relationship between lC and l: is given
as :
(B °·¤ çSÍÚU ¥´·¤ ãñ)
(where the constant B is positive)
(1)
38.
lC5l:1(B)C
(1)
lC5l:1(B)C
(2)
lC5l:2(B)C
(2)
lC5l:2(B)C
(3)
lC5l:2(B) C
(3)
lC5l:2(B) C
(4)
lC5l:1(B) C
(4)
lC5l:1(B) C
Consider separate solutions of 0.500 M
38.
C 2 H 5 OH(aq), 0.100 M Mg 3 (PO 4 ) 2 (aq),
0.250 M KBr(aq) and 0.125 M Na3PO4(aq)
strong electrolytes ?
They all have the same osmotic
pressure.
(2)
0.100 M Mg 3 (PO 4 ) 2 (aq) has the
highest osmotic pressure.
(3)
0.125 M Na3PO4(aq) has the highest
osmotic pressure.
(4)
0.500 M C 2 H 5 OH(aq) has the
highest osmotic pressure.
1
For the reaction SO2(g)1 O2(g) ì SO3(g),
2
¥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) §Ù âÕ ·ð¤ çÜØð ¥æâ×æçÅU·¤ ÎæÕ ·ð¤ ×æÙ
â×æÙ ãæð»æÐ
(2) 0.100 M Mg 3 (PO 4 ) 2 (ÁÜèØ) ·¤æ
¥æâ×æçÅU·¤ ÎæÕ ©“æÌ× ãæð»æÐ
(3) 0.125 M Na 3 PO 4 (ÁÜèØ) ·¤æ
¥æâ×æçÅU·¤ ÎæÕ ©“æÌ× ãæð»æÐ
(4) 0.500 M C 2 H 5 OH (ÁÜèØ) ·¤æ
¥æâ×æçÅU·¤ ÎæÕ ©“æÌ× ãæð»æÐ
these solutions, assuming all salts to be
(1)
0.500 M C2H5OH(ÁÜèØ),
0.100 M Mg 3 (PO 4 ) 2 (ÁÜèØ) , 0.250 M
KBr(ÁÜèØ)
at 258C. Which statement is true about
39.
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
39.
if KP5KC(RT)x where the symbols have
usual meaning then the value of x is :
¥çÖç·ý¤Øæ,
SO2(g)1
1
O
ì SO3(g)
2 2(g)
·ð¤ çÜ°
KP5KC(RT)x ãæð»æ ÁÕ·¤è âÕ âê¿·¤ ¥ÿæÚU âæ×æ‹Ø
(assuming ideality)
¥Íü ÚU¹Ìð ãñ´ Ìæð ¥æÎàæüÚUM¤ÂÌæ ×æÙÌð ãé° x ·¤æ ×æÙ
ãæð»æ Ñ
(1)
21
(1)
21
(2)
2
(2)
2
(3)
1
2
(3)
1
2
(4)
1
(4)
1
E/Page 19
1
2
SPACE FOR ROUGH WORK /
1
2
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
40.
For the non - stoichiometre reaction
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
40.
2A1B ® C1D, the following kinetic data
were
obtained
in
three
separate
experiments, all at 298 K.
Initial
Initial rate of
Initial
Concentration Concentration formation of C
(A)
(B)
(mol L2S2)
0.1 M
0.1 M
1.2 3 10 23
§âË¿Ũ»œ‰
Ç˙³âøË (A)
§âË¿Ũ»œ‰
Ç˙³âøË (B)
0.1 M
0.1 M
1.2 3 10 23
0.1 M
0.2 M
1.2 3 10 23
0.1 M
0.2 M
0.2 M
0.1 M
2.4 3 10 23
1.2 3 10 23
0.2 M
0.1 M
2.4 3 10 23
¥çÖç·ý¤Øæ ·ð¤ çÜØð C ÕÙÙð ·¤æ ÎÚU çÙØ× ãæð»æ Ñ
The rate law for the formation of C is :
41.
(1)
dc
5k[A] [B]
dt
(1)
dc
5k[A] [B]
dt
(2)
dc
5k[A]2 [B]
dt
(2)
dc
5k[A]2 [B]
dt
(3)
dc
5k[A] [B]2
dt
(3)
dc
5k[A] [B]2
dt
(4)
dc
5k[A]
dt
(4)
dc
5k[A]
dt
decreasing order of acid strength is :
çِ٠¥æ€âæ𠥐Üæð´ ·ð¤ çÜØð ¥Ü àæç€Ì ·¤æ ØÍæÍü
ƒæÅUÌæ ·ý¤× ãæð»æ Ñ
(1)
HOCl > HClO2 > HClO3 > HClO4
HClO4 > HOCl > HClO2 > HClO3
(1)
(2)
HOCl > HClO2 > HClO3 > HClO4
HClO4 > HOCl > HClO2 > HClO3
HClO4 > HClO3 > HClO2 > HOCl
HClO2 > HClO4 > HClO3 > HOCl
(3)
HClO4 > HClO3 > HClO2 > HOCl
(4)
HClO2 > HClO4 > HClO3 > HOCl
Among the following oxoacids, the correct
(2)
(3)
(4)
42.
º¾¾Õ œ‰Í §âË¿Ũ»œ‰
³¿U (¼ËÕÁ L2S2)
C
41.
salts is :
ÏæÌé Áæð ¥ÂÙð Ü߇ææð ´ ·ð ¤ ÁÜèØ çßÜØÙæð ´ ·ð ¤
§Üñ€ÅþUæÜðçââ (çßléÌ ¥ÂƒæÅUÙ) âð ÂýæŒÌ Ùãè´ ãæð
â·¤Ìè ãæðÌè ãñ Ñ
(1)
Ag
(1)
Ag
(2)
Ca
(2)
Ca
(3)
Cu
(3)
Cu
(4)
Cr
(4)
Cr
The metal that cannot be obtained by
42.
electrolysis of an aqueous solution of its
E/Page 20
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
43.
The octahedral complex of a metal ion
43.
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
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
M31
strength of the four ligands is :
44.
(1)
L4 < L3 < L2 < L1
(1)
L4 < L 3 < L 2 < L 1
(2)
L1 < L3 < L2 < L4
(2)
L1 < L 3 < L 2 < L 4
(3)
L3 < L2 < L4 < L1
(3)
L3 < L 2 < L 4 < L 1
(4)
L1 < L2< L4 < L3
(4)
L1 < L 2 < L 4 < L 3
Which one of the following properties is
44.
NO ·¤æñÙ-âæ
çِ٠»é‡æ ÂýÎçàæüÌ Ùãè´ ·¤ÚUÌæ ãñ?
not shown by NO ?
(1)
It is diamagnetic in gaseous state
(1)
»ñâèØ ¥ßSÍæ ×ð´ ÂýçÌ¿éÕ·¤èØ ãñÐ
(2)
It is a neutral oxide
(2)
Øã °·¤ ©ÎæâèÙ ¥æò€âæ§ÇU ãñÐ
(3)
It combines with oxygen to form
(3)
Øã ¥æò€âèÁÙ âð Øæð» ·¤ÚU Ùæ§ÅþUæÁ
ð Ù ÇUæ§ü¥æò€âæ§ÇU
ÕÙæÌæ ãñÐ
(4)
§â·¤è Õ‹Ï ·¤æðçÅU
nitrogen dioxide
(4)
45.
It’s bond order is 2.5
In which of the following reactions H2O2
45.
acts as a reducing agent ?
2.5
çِ٠緤٠¥çÖç·ý¤Øæ¥æð´ ×ð´
·¤æ ·¤æ× ·¤ÚUÌæ ãñ?
ãñÐ
H2O2
°·¤ ¥Â¿æØ·¤
(a)
H2O21 2H112e2® 2H2O
(a)
H2O21 2H112e2® 2H2O
(b)
H2O222e2® O21 2H1
(b)
H2O222e2® O21 2H1
(c)
H2O212e2® 2OH2
(c)
H2O212e2® 2OH2
(d)
H2O21 2OH222e2® O212H2O
(d)
H2O21 2OH222e2® O212H2O
(1)
(a), (b)
(1)
(a), (b)
(2)
(c), (d)
(2)
(c), (d)
(3)
(a), (c)
(3)
(a), (c)
(4)
(b), (d)
(4)
(b), (d)
E/Page 21
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
46.
The correct statement for the molecule,
46.
CsI3 , is :
47.
·ð¤ çÜØð ØÍæÍü ·¤ÍÙ ãæð»æ Ñ
(1)
it is a covalent molecule.
(1)
Øã °·¤ âãâ´ØæðÁ·¤è ¥‡æé ãñÐ
(2)
it contains Cs1 and I2
3 ions.
(2)
§â×ð´ Cs1 ¥æñÚU
(3)
it contains Cs31 and I2 ions.
(3)
§â×ð´ Cs31 ¥æñÚU I2 ¥æØÙ ãæðÌð ãñ´Ð
(4)
it contains Cs 1 , I 2 and lattice I 2
molecule.
(4)
§â×ð´ Cs1, I2 ¥æñÚU I2 ÁæÜ·¤ ãæðÌð ãñ´Ð
2
I3
¥æØÙ ãæðÌð ãñ´Ð
ratio of number of their molecule is :
°·¤ 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)
1:4
(1)
1:4
(2)
7 : 32
(2)
7 : 32
(3)
1:8
(3)
1:8
(4)
3 : 16
(4)
3 : 16
The ratio of masses of oxygen and nitrogen
47.
in a particular gaseous mixture is 1 : 4. The
48.
CsI3 ¥‡æé
Given below are the half - cell reactions :
48.
Ùè¿ð ·é¤ÀU ¥hü âðÜ ¥çÖç·ý¤Øæ°´ Îè »§ü ãñ´ Ñ
Mn2112e2® Mn ; Eo521.18 V
Mn2112e2® Mn ; Eo521.18 V
2(Mn311e2® Mn21) ; Eo511.51 V
2(Mn311e2® Mn21) ; Eo511.51 V
The Eo for 3Mn21® Mn12Mn31 will be :
3Mn21® Mn12Mn31
(1)
22.69 V ; the reaction will not occur
(1)
22.69 V ;
¥çÖç·ý¤Øæ Ùãè´ ãæð»èÐ
(2)
22.69 V ; the reaction will occur
(2)
22.69 V ;
¥çÖç·ý¤Øæ ãæð»èÐ
(3)
20.33 V ; the reaction will not occur
(3)
20.33 V ;
¥çÖç·ý¤Øæ Ùãè´ ãæð»èÐ
(4)
20.33 V ; the reaction will occur
(4)
20.33 V ;
¥çÖç·ý¤Øæ ãæð»èÐ
E/Page 22
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
·ð¤ çÜØð
Eo ãæð»æ
Ñ
49.
Which series of reactions correctly
49.
represents chemical relations related to
iron and its compound ?
(1)
dil H SO
H SO , O
§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
2
Fe £££££
“ FeSO 4 £££££
“
±Ë§
Fe 2 (SO 4 )3 £££
“ Fe
heat
Fe 2 (SO 4 )3 £££
“ Fe
(2)
O , heat
dil H SO
(2)
2
2
4
Fe ££££“
FeO £££££
“
Cl , heat
heat, air
(3)
2
Fe ££££
£
“ FeCl 3 ££££“
Zn
O , heat
FeCl 2 ££“ Fe
CO, 6008 C
(4)
2
Fe ££££“
Fe 3O 4 £££££
“
CO, 700 8 C
The equation which is balanced and
O 2 , ±Ë§
CO, 6008 C
Fe ££££
“ Fe 3O 4 £££££
“
CO, 700 8 C
FeO £££££
“ Fe
50.
Cl 2 , ±Ë§
±Ë§, Ä˽Î
Fe ££££
“ FeCl 3 ££££
“
Zn
FeCl 2 ££“ Fe
(4)
O 2 , ±Ë§
±¾Î H2 SO 4
Fe ££££
“ FeO £££££
“
±Ë§
FeSO 4 £££
“ Fe
heat
FeSO 4 £££
“ Fe
(3)
±¾Î H2 SO 4
H2 SO 4 , O 2
Fe £££££
“ FeSO 4 £££££
“
FeO £££££
“ Fe
50.
represents the correct product(s) is :
â×è·¤ÚU‡æ Áæð â´ÌéçÜÌ ãñ ¥æñÚU ØÍæÍü ç·ý¤Øæ ȤÜæð´ ·¤è
âê¿·¤ ãñ, ãñ Ñ
(1)
Li2O12KCl ® 2LiCl1K2O
(1)
Li2O12KCl ® 2LiCl1K2O
(2)
[CoCl(NH3)5]115H1®Co21
(2)
[CoCl(NH 3)5]115 H1® Co 21
1
1
15 NH4 1Cl2
(3)
[Mg(H2O)6]211 (EDTA) 42
15 NH4 1Cl2
££££££
“ [Mg(EDTA)]21
[Mg(H2O)6]211(EDTA)42
NaOH œ‰Ë ŠËÌ´þ½
£££££££“ [Mg(EDTA) ] 21
1 6H2O
1 6H2O
(3)
excess NaOH
(4)
CuSO 414 K C N ® K 2[Cu(CN) 4]
1K2SO 4
E/Page 23
(4)
CuSO 41 4 K C N® K 2[Cu(CN) 4]
1K2SO 4
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
51.
In S N 2 reactions, the correct order of
reactivity for the following compounds :
51.
CH 3 Cl, CH 3 CH 2 Cl, (CH 3 ) 2 CHCl and
(CH3)3CCl is :
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
(1)
CH3Cl > (CH3)2CHCl > CH3CH2Cl
> (CH3)3CCl
(2)
CH3Cl > CH3CH2Cl > (CH3)2CHCl
> (CH3)3CCl
(2)
CH3Cl > CH3CH2Cl > (CH3)2CHCl
> (CH3)3CCl
(3)
CH3CH2Cl > CH3Cl > (CH3)2CHCl
(3)
CH3CH2Cl > CH3Cl > (CH3)2CHCl
(CH3)2CHCl > CH3CH2Cl > CH3Cl
> (CH3)3CCl
(4)
> (CH3)3CCl
(4)
52.
On heating an aliphatic primary amine
> (CH3)3CCl
52.
with chloroform and ethanolic potassium
hydroxide, the organic compound formed
(CH3)2CHCl > CH3CH2Cl > CH3Cl
> (CH3)3CCl
°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
is :
53.
(1)
an alkanol
(1)
°·¤ °ðË·¤æÙæðÜ
(2)
an alkanediol
(2)
°·¤ °ðË·ð¤ÙÇUæØæðÜ
(3)
an alkyl cyanide
(3)
°·¤ °ðçË·¤Ü çâØæÙæ§ÇU
(4)
an alkyl isocyanide
(4)
°·¤ °ðçË·¤Ü ¥æ§âæðçâØæÙæ§ÇU
The most suitable reagent for the
53.
R2CH22OH ® R2CHO ×ð´ ÕÎÜÙð ·¤æ âÕâð
conversion of R2CH22OH® R2CHO
is :
¥çÏ·¤ ©ÂØé€Ì ¥çÖ·¤æÚU·¤ ãæðÌæ ãñ Ñ
(1)
KMnO4
(1)
KMnO 4
(2)
K2Cr2O7
(2)
K2Cr2O7
(3)
CrO 3
(3)
CrO 3
(4)
PCC (Pyridinium Chlorochromate)
(4)
PCC
E/Page 24
SPACE FOR ROUGH WORK /
(çÂçÚUÇUèçÙØ× €ÜæðÚUæð·ý¤æð×ðÅ)U
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
54.
with silver powder is :
·¤æð çâËßÚU Âæ©ÇUÚU ·ð¤ âæÍ
ç·ý¤Øæ ·¤ÚUÙð ÂÚU âÕâð ÕǸè ×æ˜ææ ×ð´ ÕÙæ ¥æÚU»ñçÙ·¤
Øæñç»·¤ ãæðÌæ ãñ Ñ
(1)
Acetylene
(1)
°çâçÅUÜèÙ
(2)
Ethene
(2)
§üÍèÙ
(3)
2 - Butyne
(3)
2-
ŽØéÅUæ§Ù
(4)
2 - Butene
(4)
2-
ŽØéÅUèÙ
The major organic compound formed by
54.
the reaction of 1, 1, 12 trichloroethane
55.
1, 1, 12 ÅþU槀ÜæðÚUæð§üÍðÙ
which on acetylation produces C.
âæðçÇUØ× $Èñ¤Ùæ€âæ§ÇU ·¤è ©“æ ÎæÕ ¥æñÚU 1258C ÂÚU
CO2 âð ¥çÖç·ý¤Øæ ·¤ÚUÙð ÂÚU Áæð Øæñç»·¤ ÂýæŒÌ ãæðÌæ ãñ
©â·ð¤ °çâçÅUÜðàæÙ ÂÚU ç·ý¤Øæ È¤Ü C ãæðÌæ ãñÐ
The major product C would be :
ÕǸè ×æ˜ææ ×ð´ ç·ý¤Øæ È¤Ü C ãæð»æ Ñ
(1)
(1)
(2)
(2)
(3)
(3)
(4)
(4)
Sodium phenoxide when heated with CO2
55.
under pressure at 1258C yields a product
E/Page 25
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
56.
smallest pKb value ?
ÁÜèØ çßÜØÙ ×ð´ °×èÙæð´ ·¤è ÿææÚUèØ Âýßëçžæ ·ð¤ ¥ÙéâæÚU
çِÙçÜç¹Ìæð´ ×ð´ âð ç·¤â·ð¤ çÜØð pKb ·¤æ ×æÙ ·¤×
âð ·¤× ãæð»æ?
(1)
(CH3)2NH
(1)
(CH3)2NH
(2)
CH3NH2
(2)
CH3NH2
(3)
(CH3)3N
(3)
(CH3)3N
(4)
C6H5NH2
(4)
C6H5NH2
Considering the basic strength of amines
56.
in aqueous solution, which one has the
57.
For which of the following molecule
57.
significant m¹0 ?
(b)
(a)
(c)
(d)
çِ٠×ð´ âð 緤⠥‡æé ·ð¤ çÜØð ÕãéÌ âè×æ Ì·¤ m¹0
ãæð»æ?
(a)
(b)
(c)
(d)
(1)
Only (a)
(1)
·ð¤ßÜ
(2)
(a) and (b)
(2)
(a) ¥æñÚU (b)
(3)
Only (c)
(3)
·ð¤ßÜ
(4)
(c) and (d)
(4)
(c) ¥æñÚU (d)
E/Page 26
SPACE FOR ROUGH WORK /
(a)
(c)
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
58.
Which one is classified as a condensation
58.
§Ù×ð´ âð 緤ⷤæð ·¤‹ÇñU‹âðàæÙ ÕãéÜ·¤ ×æÙæ ÁæØð»æ?
polymer ?
59.
(1)
Dacron
(1)
ÇñU·¤ÚUæÙ
(2)
Neoprene
(2)
çÙØæðçÂýÙ
(3)
Teflon
(3)
ÅñU$ȤÜæÙ
(4)
Acrylonitrile
(4)
°ðç·ý¤ÜæðÙæ§ÅþUæ§Ü
Which one of the following bases is not
59.
çِ٠ÿææÚUæð´ ×ð´ âð ·¤æñÙ °·¤ DNA ×ð´ Ùãè´ ÂæØæ ÁæÌæ?
present in DNA ?
60.
(1)
Quinoline
(1)
ç€ßÙæðÜèÙ
(2)
Adenine
(2)
°ðçÇUÙèÙ
(3)
Cytosine
(3)
âæ§ÅUæðâèÙ
(4)
Thymine
(4)
Íæ§ü×èÙ
In the reaction,
60.
LiAlH
PCl
Alc. KOH
¥çÖç·ý¤Øæ âðÅ,
LiAlH
PCl
Alc. KOH
4
5
CH3COOH ££££
“ A £££
“ B £££££
“C ,
4
5
CH3COOH ££££
“ A £££
“ B £££££
“C
the product C is :
×ð´ ç·ý¤Øæ È¤Ü C ãæðÌæ ãñ Ñ
(1)
Acetaldehyde
(1)
°ðçâÅU°ðçËÇUãæ§ÇU
(2)
Acetylene
(2)
°çâçÅUÜèÙ
(3)
Ethylene
(3)
§Íæ§üÜèÙ
(4)
Acetyl chloride
(4)
°çâÅUæ§Ü €ÜæðÚUæ§ÇU
E/Page 27
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
Öæ» C — »ç‡æÌ
PART C — MATHEMATICS
61.
ØçÎ
X5{4 n 23n21 : n e N}
natural numbers, then XÈY is equal to :
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)
X
(1)
X
(2)
Y
(2)
Y
(3)
N
(3)
N
(4)
Y2X
(4)
Y2X
If
X5{4 n 23n21
:
n
e
N}
and
61.
Y5{9(n21) : n e N}, where N is the set of
62.
If z is a complex number such that ?z?/2,
then the minimum value of z 1
63.
1
:
2
is strictly greater than
(2)
is strictly greater than
ØçÎ z °·¤ °ðâè âç×Ÿæ ⴁØæ ãñ ç·¤ ?z?/2 ãñ, Ìæð
z1
5
2
(1)
than
62.
3
but less
2
1
2
·¤æ ‹ØêÙÌ× ×æÙ Ñ
(1)
5
2
âð çÙÚ´UÌÚU ÕǸæ ãñÐ
(2)
3
2
âð çÙÚ´UÌÚU ÕǸæ ãñ ÂÚU‹Ìé
·ð¤ ÕÚUæÕÚU ãñÐ
5
2
âð ·¤× ãñÐ
5
2
(3)
is equal to
5
2
(3)
5
2
(4)
lies in the interval (1, 2)
(4)
¥´ÌÚUæÜ
If a e R and the equation
63.
ØçÎ
aeR
(1, 2) ×ð´
çSÍÌ ãñÐ
ÌÍæ â×è·¤ÚU‡æ
23(x2[x])212 (x2[x])1a250
23(x2[x])212 (x2[x])1a250
(where [x] denotes the greatest integer
possible values of a lie in the interval :
(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)
(1)
(22, 21)
(2)
(2:, 22) È (2, :)
(2)
(2:, 22) È (2, :)
(3)
(21, 0) È (0, 1)
(3)
(21, 0) È (0, 1)
(4)
(1, 2)
(4)
(1, 2)
[ x) has no integral solution, then all
E/Page 28
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
64.
Let a and b be the roots of equation
64.
px21qx1r50, p¹0. If p, q, r are in A.P.
and
1
1
1 5 4 , then the value of ?a2b?
a
b
×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
1 54
a
b
ãñ, Ìæð ?a2b? ·¤æ ×æÙ ãñ Ñ
is :
65.
(1)
34
9
(1)
34
9
(2)
2 13
9
(2)
2 13
9
(3)
61
9
(3)
61
9
(4)
2 17
9
(4)
2 17
9
If a, b¹0, and f (n)5an1bn and
3
65.
1 1 f (1) 1 1 f (2)
3
1 1 f (1) 1 1 f (2) 1 1 f (3)
1 1 f (2) 1 1 f (3) 1 1 f (4)
5K(12a)2 (12b)2 (a2b)2
equal to :
ãñ Ñ
(1)
1
(1)
1
(2)
21
(2)
21
(3)
ab
(3)
ab
(4)
1
ab
(4)
1
ab
If A is an 333 non - singular matrix such
that AA95A9A and
B5A21
66.
A9, then BB9
equals :
ØçÎ
B21
(1)
B21
(2)
(B21)9
(2)
(B21)9
(3)
I1B
(3)
I1B
(4)
I
(4)
I
SPACE FOR ROUGH WORK /
ãñ, Ìæð
K
ÕÚUæÕÚU
°·¤ °ðâæ 333 ÃØ鈷ý¤×‡æèØ ¥æÃØêã ãñ ç·¤
AA95A9A ÌÍæ B5A21 A9 ãñ, Ìæð BB9 ÕÚUæÕÚU
ãñ Ñ
A
(1)
E/Page 29
1 1 f (1) 1 1 f (2)
1 1 f (1) 1 1 f (2) 1 1 f (3)
1 1 f (2) 1 1 f (3) 1 1 f (4)
5K(12a) 2 (12b) 2 (a2b) 2 , then K is
66.
ØçÎ a, b¹0, f (n)5an1bn ÌÍæ
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
67.
If the coefficients of x 3 and x 4 in the
67.
expansion of (11ax1bx 2 ) (122x) 18 in
powers of x are both zero, then (a, b) is
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
equal to :
68.
69.
(1)
Ë
Û
ÌÌ14 , 272 ÜÜ
Ü
Í
3 Ý
(1)
Ë
Û
ÌÌ14 , 272 ÜÜ
Í
3 ÝÜ
(2)
Ë
Û
Ì16 , 272 ÜÜ
Ü
ÌÍ
3 Ý
(2)
Ë
Û
Ì16 , 272 ÜÜ
ÌÍ
3 ÝÜ
(3)
Ë
Û
ÌÌ16 , 251 ÜÜ
Ü
Í
3 Ý
(3)
Ë
Û
ÌÌ16 , 251 ÜÜ
Ü
Í
3 Ý
(4)
Ë
Û
Ì14 , 251 ÜÜ
Ü
ÌÍ
3 Ý
(4)
Ë
Û
Ì14 , 251 ÜÜ
Ü
ÌÍ
3 Ý
If (10) 9 12(11) 1 (10) 8 13(11) 2 (10) 7 1...
68.
ØçÎ
(10)912(11) 1 (10)813(11)2 (10)71...
110 (11)95k (10)9, then k is equal to :
110 (11)95k (10)9 ãñ,
(1)
100
(1)
100
(2)
110
(2)
110
(3)
121
10
(3)
121
10
(4)
441
100
(4)
441
100
Ìæð k ÕÚUæÕÚU ãñ Ñ
Then the common ratio of the G.P. is :
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)
22 3
(1)
22 3
(2)
21 3
(2)
21 3
Three positive numbers form an increasing
69.
G.P. If the middle term in this G.P. is
doubled, the new numbers are in A.P.
(3)
(4)
E/Page 30
(3)
21 3
31
(4)
2
SPACE FOR ROUGH WORK /
21 3
31
2
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
70.
71.
72.
lim
sin ( p cos 2 x )
x2
x“ 0
is equal to :
70.
lim
sin ( p cos 2 x )
x2
x“ 0
(1)
2p
(1)
2p
(2)
p
(2)
p
(3)
p
2
(3)
p
2
(4)
1
(4)
1
If g is the inverse of a function f and
1
, then g9 (x) is equal to :
f 9 (x)5
1 1 x5
71.
·¤æ ×æÙ ãñ Ñ
1
ØçÎ g ȤÜÙ f ·¤æ ÃØ鈷ý¤× ãñ ÌÍæ f 9 (x)5 1 1 x 5
ãñ, Ìæð g9 (x) ÕÚUæÕÚU ãñ Ñ
1
1
(1)
1 1 { g ( x )}
(1)
1 1 { g ( x )}
(2)
11{g(x)}5
(2)
11{g(x)} 5
(3)
11x 5
(3)
11x 5
(4)
5x 4
(4)
5x 4
5
5
f (1)56, then for some ce]0, 1[ :
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)
(1)
f 9(c)5g9(c)
(2)
f 9(c)52g9(c)
(2)
f 9(c)52g9(c)
(3)
2f 9(c)5g9(c)
(3)
2f 9(c)5g9(c)
(4)
2f 9(c)53g9(c)
(4)
2f 9(c)53g9(c)
If f and g are differentiable functions in
72.
[0, 1] satisfying f (0)525g(1), g(0)50 and
E/Page 31
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
73.
If x521 and x52 are extreme points of
f(x)5a log
?x?1bx21x
73.
then :
1
2
(1)
a52, b52
(2)
a52, b5
(3)
a526, b5
(4)
a526, b52
1
2
1
2
1
2
1
74.
Ë
1 Û x1
The integral × ÌÌ1 1 x 2 ÜÜÜ e x d x is
Í
xÝ
ØçÎ
x521
ÌÍæ x52,
f(x)5a log ?x?1bx21x ·ð¤
¿ÚU×çÕ´Îé ãñ´, Ìæð Ñ
1
2
(1)
a52, b52
(2)
a52, b5
(3)
a526, b5
(4)
a526, b52
1
2
1
2
1
2
1
74.
Ë
1 Û x1
â×æ·¤Ü × ÌÌÍ1 1 x 2 ÜÜÜÝ e x d x
x
ÕÚUæÕÚU ãñ Ñ
equal to :
(1)
(x11)
(2)
2x
(3)
75.
1
x1
x
e
(x21)
(4)
x
1
x1
x
e
1
x1
x
e
×
0
(2)
1c
1
x1
x
e
(3)
1c
1c
(4)
The integral
p
(1)
1c
75.
x
x
1 1 4 sin
2 4 sin d x equals :
2
2
2
2x
1
x1
x
e
(x21)
x
1
x1
x
e
1c
1c
1
x1
x
e
1c
1c
â×æ·¤Ü
p
×
1 1 4 sin 2
0
x
x
2 4 sin d x
2
2
(1)
4 324
(2)
4 3 2 42
p24
(3)
p24
2p
2 42 4 3
3
(4)
2p
2 42 4 3
3
(1)
4 324
(2)
4 3 2 42
(3)
(4)
E/Page 32
(x11)
1
x1
x
e
p
3
SPACE FOR ROUGH WORK /
p
3
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
ÕÚUæÕÚU ãñ Ñ
76.
The area of the region described by
A5{(x, y) :
77.
78.
x21y2
[ 1 and
y2
76.
[ 12x} is :
ÌÍæ
mæÚUæ ÂýΞæ ÿæð˜æ ·¤æ ÿæð˜æÈ¤Ü ãñ Ñ
A5{(x, y) : x21y2 [ 1
(1)
p
2
2
2
3
(1)
p
2
2
2
3
(2)
p
2
1
2
3
(2)
p
2
1
2
3
(3)
p
4
1
2
3
(3)
p
4
1
2
3
(4)
p
4
2
2
3
(4)
p
4
2
2
3
Let the population of rabbits surviving at
77.
y2 [ 12x}
·ð¤
×æÙæ ç·¤âè â×Ø t ÂÚU ÁèçßÌ ¹ÚU»æðàææð´ ·¤è ÁÙⴁØæ
¥ß·¤Ü â×è·¤ÚU‡æ
a time t be governed by the differential
dp(t)
1
5 p(t) 2200.
equation
dt
2
çÙØ´ç˜æÌ ãñ´Ð
If p(0)5100, then p(t) equals :
ØçÎ
p(0)5100 ãñ,
dp(t)
1
5 p(t) 2200
dt
2
mæÚUæ
Ìæð p(t) ÕÚUæÕÚU ãñ Ñ
(1)
6002500 et/2
(1)
6002500 et/2
(2)
4002300 e2t/2
(2)
4002300 e2t/2
(3)
4002300 et/2
(3)
4002300 et/2
(4)
3002200 e2t/2
(4)
3002200 e2t/2
(1, 21) and parallel to PS is :
×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
(1)
4x17y1350
(2)
2x29y21150
(2)
2x29y21150
(3)
4x27y21150
(3)
4x27y21150
(4)
2x19y1750
(4)
2x19y1750
Let PS be the median of the triangle with
78.
vertices P(2, 2), Q(6,21) and R(7, 3). The
equation of the line passing through
E/Page 33
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
79.
Let a, b, c and d be non-zero numbers. If
79.
the point of intersection of the lines
4ax12ay1c50 and 5bx12by1d50 lies
in the fourth quadrant and is equidistant
×æÙæ a, b, c ÌÍæ d àæê‹ØðÌÚU ⴁØæ°¡ ãñ´Ð ØçÎ ÚðU¹æ¥æð´
4ax12ay1c50 ÌÍæ 5bx12by1d50 ·¤æ
Âýç̑ÀðUÎ çÕ´Îé ¿æñÍð ¿ÌéÍæZàæ ×ð´ ãñ ÌÍæ ÎæðÙæð´ ¥ÿææð´ âð
â×ÎêÚUSÍ ãñ, Ìæð Ñ
from the two axes then :
80.
(1)
3bc22ad50
(1)
3bc22ad50
(2)
3bc12ad50
(2)
3bc12ad50
(3)
2bc23ad50
(3)
2bc23ad50
(4)
2bc13ad50
(4)
2bc13ad50
The locus of the foot of perpendicular
80.
drawn from the centre of the ellipse
x213y256 on any tangent to it is :
81.
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)
(x21y 2)256x 212y 2
(1)
(x21y 2)256x 212y 2
(2)
(x21y 2)256x 222y 2
(2)
(x21y 2)256x 222y 2
(3)
(x22y 2)256x 212y 2
(3)
(x22y 2)256x 212y 2
(4)
(x22y 2)256x 222y 2
(4)
(x22y 2)256x 222y 2
Let C be the circle with centre at (1, 1) and
81.
radius51. If T is the circle centred at
(0, y), passing through origin and touching
the circle C externally, then the radius of
×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
T is equal to :
(1)
1
2
(1)
1
2
(2)
1
4
(2)
1
4
(3)
3
2
(3)
3
2
(4)
3
2
(4)
3
2
E/Page 34
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
82.
The slope of the line touching both the
82.
parabolas y254x and x25232y is :
83.
ÂÚUßÜØæð´ y254x ÌÍæ x25232y ÎæðÙæð´ ·¤æð SÂàæü
·¤ÚUÙð ßæÜè ÚðU¹æ ·¤è Âý߇æÌæ ãñ Ñ
(1)
1
8
(1)
1
8
(2)
2
3
(2)
2
3
(3)
1
2
(3)
1
2
(4)
3
2
(4)
3
2
â×ÌÜ
2x2y1z1350
The image of the line
83.
y 23
x 21
z 24
5
5
in the plane
3
1
25
2x2y1z1350 is the line :
×ð´ ÚðU¹æ
y 23
x 21
z 24
5
5
3
1
25
·ð¤ ÂýçÌçÕ´Õ ßæÜè
ÚðU¹æ ãñ Ñ
(1)
y 15
x 23
z 22
5
5
25
3
1
(1)
y 15
x 23
z 22
5
5
3
1
25
(2)
y 15
x 23
z 22
5
5
23
21
5
(2)
y 15
x 23
z 22
5
5
23
21
5
(3)
y 25
x 13
z 22
5
5
25
3
1
(3)
y 25
x 13
z 22
5
5
3
1
25
(4)
y 25
x 13
z 12
5
5
23
21
5
(4)
y 25
x 13
z 12
5
5
23
21
5
E/Page 35
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
84.
The angle between the lines whose
84.
direction cosines satisfy the equations
l1m1n50 and l25m21n2 is :
85.
86.
Îæð Úð U ¹ æ°¡ , 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)
p
6
(1)
p
6
(2)
p
2
(2)
p
2
(3)
p
3
(3)
p
3
(4)
p
4
(4)
p
4
Γ “ “ “ “ “Þ
Γ “ “ Þ 2
If ÏÐ a3b b3c c3a ßà5l ÏÐ a b c ßà then l is
equal to :
85.
Î “ “ “ “ “ “Þ
Γ “ “Þ 2
Ï a3b b3c c3a ß5l Ï a b c ß
Ð
à
Ð
à
ØçÎ
ÕÚUæÕÚU ãñ Ñ
(1)
0
(1)
0
(2)
1
(2)
1
(3)
2
(3)
2
(4)
3
(4)
3
×æÙæ
A
Let A and B be two events such that
P (A ­ B) 5
P (A ) 5
1
,
6
P (A ¬ B) 5
1
4
86.
and
1
, where A stands for the
4
complement of the event A. Then the
ÌÍæ
P (A ­ B) 5
P (A ) 5
1
4
B
Îæð °ð â è ƒæÅUÙæ°¡ ãñ ´ ç·¤
1
,
6
P (A ¬ B) 5
ãñ ÁÕç·¤ A ƒæÅUÙæ
A
1
4
ÎàææüÌæ ãñÐ Ìæð ƒæÅUÙæ°¡ A ÌÍæ B Ñ
(1)
independent but not equally likely.
(1)
SßÌ´˜æ ãñ´ ÂÚU‹Ìé â×âÖæßè Ùãè´ ãñ´Ð
(2)
independent and equally likely.
(2)
SßÌ´˜æ ãñ´ ÌÍæ â×âÖæßè ãñ´Ð
(3)
mutually exclusive and independent.
(3)
ÂÚUSÂÚU ¥ÂßÁèü ÌÍæ SßÌ´˜æ ãñ´Ð
(4)
equally likely but not independent.
(4)
â×âÖæßè ãñ´ ÂÚU‹Ìé SßÌ´˜æ Ùãè´ ãñ´Ð
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
ÌÍæ
·ð¤ ÂêÚU·¤ ·¤æð
events A and B are :
E/Page 36
ãñ, Ìæð l
87.
The variance of first 50 even natural
87.
ÂãÜè 50 â× Âýæ·ë¤Ì ⴁØæ¥æð´ ·¤æ ÂýâÚU‡æ ãñ Ñ
numbers is :
88.
(1)
437
(1)
437
(2)
437
4
(2)
437
4
(3)
833
4
(3)
833
4
(4)
833
(4)
833
1
(sin k x 1 cosk x ) where
k
x e R and k/1. Then f4(x)2f6(x) equals :
Let f k ( x ) 5
88.
1
(sin k x 1 cosk x ) ãñ,
k
x e R ÌÍæ k/1 ãñ, Ìæð f4(x)2f6(x) ÕÚUæÕÚU ãñ
×æÙæ
fk ( x ) 5
(1)
1
4
(1)
1
4
(2)
1
12
(2)
1
12
(3)
1
6
(3)
1
6
(4)
1
3
(4)
1
3
E/Page 37
SPACE FOR ROUGH WORK /
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
Áãæ¡
Ñ
89.
A bird is sitting on the top of a vertical
89.
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
°·¤ 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
the speed (in m/s) of the bird is :
90.
(1)
20 2
(1)
20 2
(2)
20 ( 3 2 1)
(2)
20 ( 3 2 1)
(3)
40 ( 2 2 1)
(3)
40 ( 2 2 1)
(4)
40 ( 3 2
(4)
40 ( 3 2
2)
The statement ~(p « ~q) is :
(1)
a tautology
(2)
a fallacy
(3)
equivalent to p « q
(4)
equivalent to ~p « q
90.
-o0oSPACE FOR ROUGH WORK /
E/Page 38
2)
·¤ÍÙ ~(p « ~q) ãñ Ñ
(1) °·¤ ÂéÙL¤ç€Ì (tautology)
(2) °·¤ ãðˆßæÖæâ (fallacy)
(3) p « q ·ð¤ ÌéËØ
(4) ~p « q ·ð¤ ÌéËØ
-o0o-
ÚUȤ ·¤æØü ·ð¤ çÜ° Á»ã
SPACE FOR ROUGH WORK / ÚȤ ·¤æØü ·ð¤ çÜ° Á»ã
E/Page 39
Read the following instructions carefully :
çِÙçÜç¹Ì çÙÎðüàæ ŠØæÙ âð Âɸð´ Ñ
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
©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·¤ËÂæð́ ×ð́ 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. ÂêÀUð ÁæÙð ÂÚU ÂýˆØð·¤ ÂÚUèÿææÍèü çÙÚUèÿæ·¤ ·¤æð ¥ÂÙæ Âýßàð æ ·¤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´ ÀUæðÇð̧´»ðÐ
ØçÎ ç·¤âè ÂÚUèÿææÍèü Ùð ÎêâÚUè ÕæÚU ©ÂçSÍçÌ Â˜æ ÂÚU ãSÌæÿæÚU Ùãè´
ç·¤° Ìæð Øã ×æÙæ Áæ°»æ ç·¤ ©âÙ𠩞æÚU ˜æ Ùãè´ ÜæñÅUæØæ ãñ çÁâð
¥Ùéç¿Ì âæÏÙ ÂýØæ𻠟æð‡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
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1. The candidates should fill in the required particulars 1.
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 2.
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.
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