Gravitation Test

Result

Gravitation Test - 55

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Weekly Quiz Competition

Question 1
4 / -1

The earth revolves round the sun in one year. If the distance between them becomes double, the new period of revolution will be

A
1/2 year

B
2√2 years

C
4 years

D
8 years

Solution
Question 2
4 / -1

The maximum and minimum distances of a comet from the sun are 8 × 10¹² m and 1.6 × 10¹² m. If its velocity when nearest to the sun is 60 m/s, what will be its velocity in m/s when it is farthest ?

A
12

B
60

C
112

D
6

Solution
Question 3
4 / -1

The period of moon\'s rotation around the earth is nearly 29 days. If moon\'S mass were 2 fold, its present value and all other things remained unchanged, the period of moon\'s rotation would be nearly

A

B

C
29 × 2 days

D
29 days
Question 4
4 / -1

The orbital angular momentum of a satellite revolving at a distance r from the centre is L. If the distance is increased to 16r, then the new angular momentum will be

A
16 L

B
64 L

C
L/4

D
4 L

Solution
Question 5
4 / -1

The mass of a planet that has a moon whose time period and orbital radius are T and R respectively can written as

A
4π²R³G^–1T^–2

B
8π²R³G^–1T^–2

C
12π²R³G^–1T^–2

D
16π²R³G^–1T^–2

Solution
Question 6
4 / -1

In an elliptical orbit under gravitational force, in general

A
Tangential velocity is constant

B
Angular velocity is constant

C
Radial velocity is constant

D
Areal velocity is constant
Question 7
4 / -1

A mass M is split into two parts, m and (M – m), which are then separated by a certain distance. What ratio of m/M maximizes the gravitational force between the two parts ?

A
1/3

B
1/2

C
1/4

D
1/5

Solution
Question 8
4 / -1

Suppose the gravitational force varies inversely as the nth power of distance. Then, the time period of a planet in circular orbit of radius R around the sun will be proportional to

A

B

C

D

Solution
Question 9
4 / -1

A system of binary stars of masses m_A and m_B are moving in circular orbits of radii r_A and r_B respectively. If T_A and T_B are the times periods of masses m_A and m_B respectively then,

A

B

C

D

Solution
Question 10
4 / -1

A simple pendulum has a time period T₁ when on the earth\'s surface and T₂ when taken to a height R above the earth\'s surface, where R is the radius of the earth. The value of T₂/T₁ is

A
1

B
√2

C
4

D
2

Solution