| scienceclub | Date: Friday, 17-Oct-2014, 12:42 PM | Message # 1 |
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Lieutenant
Group: Administrators
Messages: 72
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| 1. Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined
plane from the same height at the same time. Cylinder P has most of its mass concentrated near
its surface, while Q has most of its mass concentrated near the axis. Which statement(s) is(are)
correct?
(A) Both cylinders P and Q reach the ground at the same time.
(B) Cylinders P has larger linear acceleration than cylinder Q.
© Both cylinders reach the ground with same translational kinetic energy.
(D) Cylinder Q reaches the ground with larger angular speed.
2. A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating
vertically in water in half-submerged state. If rC is the relative density of the material of the shell
with respect to water, then the correct statement is that the shell is
(A) more than half-filled if rC is less than 0.5. (B) more than half-filled if rC is more than 1.0.
© half-filled if rC is more than 0.5. (D) less than half-filled if rC is less than 0.5.
3. Two moles of ideal helium gas are in a rubber balloon at 30°C. The balloon is fully expandable
and can be assumed to require no energy in its expansion. The temperature of the gas in the
balloon is slowly changed to 35°C. The amount of heat required in raising the temperature is
nearly (take R = 8.31 J/mol.K)
(A) 62 J (B) 104 J © 124 J (D) 208 J
4. A student is performing the experiment of resonance Column. The diameter of the column tube is
4 cm. The frequency of the tuning fork is 512 Hz. The air temperature is 38°C in which the speed
of sound is 336 m/s. The zero of the meter scale coincides with the top end of the Resonance
Column tube. When the first resonance occurs, the reading of the water level in the column is
(A) 14.0 cm (B) 15.2 cm © 16.4 cm (D) 17.6 cm
5. Two spherical planets P and Q have the same uniform density r, masses Mp and MQ and surface
areas A and 4A respectively. A spherical planet R also has uniform density r and its mass is
(MP+ MQ). The escape velocities from the planets P, Q and R are VP, VQ and VR, respectively. Then
(A) VQ > VR > VP (B) VR > VQ > VP
© VR / VP = 3 (D) VP / VQ =1/2
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| scienceclub | Date: Saturday, 18-Oct-2014, 10:23 AM | Message # 2 |
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Lieutenant
Group: Administrators
Messages: 72
Status: Offline
| Solutions for the above questions:
1. (D)
2. (A)
3. (D)
4. (B)
5. (B, D)
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| scienceclub | Date: Saturday, 18-Oct-2014, 2:46 PM | Message # 3 |
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Lieutenant
Group: Administrators
Messages: 72
Status: Offline
| In the above questions 4th question Answer B is correct because
L + e =l/4L = l/4-e=16.4-1.2 = 15.2 cm
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