Gravitation Test

Result

Gravitation Test - 81

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Weekly Quiz Competition

Question 1
4 / -1

The acceleration due to gravity about the earth\'s surface would be half of its value on the surface of the earth at an altitude of (R = 4000 mile)

A
1200 mile

B
2000 mile

C
1600 mile

D
4000 mile
Question 2
4 / -1

A pendulum clock is set to give correct time at the sea level. This clock is moved to hill station at an altitude of 2500 m above the sea level. In order to keep correct time of the hill station, the length of the pendulum

A
Has to be reduced

B
Has to be increased

C
Needs no adjustment

D
Needs no adjustment but its mass has to be increased
Question 3
4 / -1

A solid sphere of uniform density and radius R applies a gravitational force of attration equal to F₁ on a particle placed at P, distance 2 R from the centre O of the sphere. A spherical cavity of radius r/2 is now made in the sphere as shown in Fig. The sphere with cavity now applies a gravitational force F₂ on same particle placed at P. The ratio F₂/F₁ will be

A
1/2

B
7/9

C
3

D
7

Solution
Question 4
4 / -1

A pendulum is taken inside 1 km from sea level, in one day it,

A
loses 13.5 sec.

B
gains 13.5 sec.

C
loses 7 sec.

D
gains 7 sec.

Solution
Question 5
4 / -1

Two spherical planets A and B have same mass but densities in the ratio 8: 1. For these planets, the ratio of acceleration due to gravity at the surface of A to its value at the surface of B is

A
1 : 4

B
1 : 2

C
4 : 1

D
8 : 1

Solution
Question 6
4 / -1

If g is the acceleration due to gravity on the earth’s surface, the gain in potential energy of the earth at a height equal to three times the radius R of the earth will be

A
mgR

B

C

D

Solution
Question 7
4 / -1

A
x + y = 6

B
x + 4 y = 6

C
y + 4x =6

D
x – y = 6

Solution
Question 8
4 / -1

The correct graph between the intensity of gravitational field (I_G) due to a solid sphere and distance from its centre (r) will be

A

B

C

D
Question 9
4 / -1

Select the proper graph between the gravitational potential (V_g) due to hollow sphere and distance (r) from its centre.

A

B

C

D

Solution
Question 10
4 / -1

An artificial satellite revolves around the earth in a circular orbit with a speed v. If m is the mass of the satellite, its total energy is

A

B

C

D

Solution