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TRANSCRIPT
89. The following figure shows a logic gate cir-cuit with two inputs A and B and the outputC. The voltage wave forms are as shownbelow. The logic gate is
1) OR gate 2) AND gate 3) NAND gate 4) NOR gate
90. A capillary tube is immersed vertically intowater in a vessel kept in a stationary lift,the rise of water in it is h. If the lift movesupwards with an acceleration 'a' then therise of water in the capillary tube is
hg hg hg1) 2) 3) 4) h
a g a a + g
91. The half life period of a radioactive sub-stance is 5 min. The amount of substancedecayed in 20 min will be
1) 43% 2) 73% 3) 93% 4) 123%
92. Density of ice is and that of water is .What will be the decrease in volume whena mass M of ice melts
M 1) 2)
M
1 1 1 1 13) M [ ] 4) [ ] M
93. The electrical conductivity of a semicon-ductor increases when electromagneticradiation of wavelength shorter than2480nm is incident on it The forbiddenband gap for the semiconductor is
1) 0.9eV 2) 0.7eV 3) 0.5eV 4) 1.1eV94. The adjacent graph shows the extension
(l)of a wire of length 1m suspended fromthe top of a roof at one end with a load Wconnected to the other end. If the crosssectional area of the wire is 106m2 calcu-late the young's modulus of the material ofthe wire
1) 2 1011 N/m2 2) 2 1011 N/m2
3) 3 1012 N/m2 4) 3 1013 N/m2
95. A parallel plate condenser of capacity10F is connected to an A.C supply volt-age e = 4 sin(100t). The maximum dis-placement current
1) 4mA 2) 4A 3) 2.8mA 4) 2.8 A
96. The minimum velocity required for a bodyat the bottom of a vertical circle to com-plete the circle of a radius 'R' is
5gR. A
body is released from the top edge of aninclined plane as shown in the figure. Theminimum value of 'h' for which the bodycan complete the vertical circle is
2R R R 5R1) 2) 3) 4)
5 2 5 2
97. A train is moving at 30 m/s in still air. Thefrequency of the locomotive whistle is500HZ and the speed of sound is 345 m/s.What would be the apparent wavelength sin front of and behind the locomotive if awind of speed 10m/s were blowing in thesame direction as that in which the loco-motive is travelling?
1) 0.65m, 0.73m 2) 0.60m, 0.73m 3) 0.65m, 0.78m 4) 0.600m,0.71m
98. A square plate of moment of inertia 'I' ispivoted at its centre. It has a small projec-tion of neglegible mass to one of its sides.A particle of mass 'm' moving with a veloc-ity v parallel to the side having projectionstrikes to projection and strikes to it. If 'l' isthe side length, the angular velocity ofplate is
mvl
ml2 mvl1) 2[I + ] 2)
4 2[I + ml2]
mvl mvl3) 4)
2I 4I99. If n1, n2 and n3 be frequencies of the seg-
ments of stretched string, find out the fre-quency n of the string itself in terms of n1, n2 and n3
n1n2n3 n1n2 + n2n3 + n3n11) 2) n1 + n2 + n3 n1n2n3
n1n2n3 n1n2n33) 4) n1n2 + n2n3 + n3n1 n1n1 + n2n2 + n3n3
100. A block of mass M is placed on the top ofa bigger block of mass 10M as shown infig. All the surfaces are frictionless. Thesystem is released from rest. The dis-tance moved by the bigger block by thetime the smaller block reaches theground is
1) 0.2m 2) 0.4m 3) 0.3m 4) 0.5m101. An infinitely long rod lies along the axis of
a concave mirror of focal length 'f'. Thenear end of the rod is at a distance u > f from the mirror. Its image will havea length
uf uf f2 f21) 2) 3) 4)
u f u + f u + f u f
102. Springs of constants k, 2k, 4k, 8k, 16k...are connected in series. The mass 'm' kgis attached to the lower end of the last
spring and the system is allowed tovibrate. The frequency of oscillation is
1 m 1 k
1) 2) 2k 22m
1 2m 1 4m
3) 4) 2 k 2 k
103. Interference pattern is obtained with twocoherent light sources of intensity ratio'b' in the interference pattern, the ratio of Imax Imin will beImax + Imin
b 2b 1) 2)
(b + 1) (b + 1)
b b + 13) 4) ()2
(b + 1)2 b 1
104. A simple harmonic oscillation is repre-sented by the equation y = 0.4
440tsin ( + 0.61x). Where 'Y' and 'X' are
7in m and time 't' in seconds respectively.The value of time period in seconds
1) 0.1 2) 0.01 3) 1 4) 10105. A prism of glass ( = 1.5) is dipped in to
water as shown in the figure. If the refrac4
tive index of water is , then the incident 3
ray will be totally reflected if
8 81) sin> 2) sin<
9 9
9 83) sin= 4) sin=
8 9
106. The velocity with which a body should beprojected from the surface the earth suchthat it reaches a maximum height equalto n times the radius R of the earth is
n GM nGM
1) 2) n + 1 R R
2n GM GM
3) 4) n + 1 R nR
Q107. Let (r) = r be the charge density dis
R4
tribution for a solid sphere of radius Rand total charge Q for a point "P" insidethe sphere at distance r1 from the centreof the sphere the magnitude of electricfield is
Qr12 Q1) 2)
30R4 40r12
Qr12 3) 4) 0
40R4
No. of Questions: 160 Max. Marks: 160 Time: 3 Hrs.
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