Gravitation Test

Result

Gravitation Test - 71

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Weekly Quiz Competition

Question 1
4 / -1

Given radius of earth \'R\' and length of a day \'T\' the height of a geostationary satellite is [G-Gravitational Constant, M-Mass of Earth]

A

B

C

D

Solution
Question 2
4 / -1

A geo-stationary satellite is orbiting the earth at a height of 6 R above the surface of earth, R being the radius of earth. The time period of another satellite at a height of 2.5 R from the surface of earth is

A
10 hr

B

C
6 hr

D

Solution
Question 3
4 / -1

A satellite is launched into a circular orbit of radius \' R\' around earth while a second satellite is launched into an orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is

A
0.7

B
1.0

C
1.5

D
3

Solution
Question 4
4 / -1

Where can a geostationary satellite be installed?

A
Over any city on the equator

B
Over the north or south pole

C
At height R above earth

D
At the surface of earth
Question 5
4 / -1

Two satellites of earth S₁ and S₂ are moving in the same orbit. The mass of S₁is four times the mass of S₂. Which one of the following statements is true?

A
The time period of S₁ is four times that of S₂

B
The potential energies of earth and satellite in the two cases are equal

C
S₁ and S₂ are moving with the same speed

D
The kinetic energies of the two satellites are equal

Solution
Question 6
4 / -1

If the gravitational force between two objects were proportional to 1/R (and not as 1/R²) where R is separation between them, then a particle in circular orbit under such a force would have its orbital speed v proportional to

A
1/R²

B
R⁰

C
R¹

D
1/R

Solution
Question 7
4 / -1

A satellite moves around the earth in a circular orbit of radius r with speed v. If the mass of the satellite is M, its total energy is

A

B

C

D

Solution
Question 8
4 / -1

A satellite with kinetic energy E_k is revolving round the earth in a circular orbit. How much more kinetic energy should be given to it so that it may just escape into outerspace

A
E_k

B
2 E_k

C
1/2 E_k

D
3 E_k

Solution
Question 9
4 / -1

Potential energy of a satellite having mass \'m\' and rotating at a height of 6.4 × 10⁶ m from the earth surface is

A
–0.5 mgR_e

B
–mgR_e

C
–2 mgR_e

D
4mgR_e

Solution
Question 10
4 / -1

When a satellite going round the earth in a circular orbit of radius r and speed v loses some of its energy, then r and v change as

A
r and v both will increase

B
r and v both will decrease

C
r will decrease and v will increase

D
r will decrease and v will decrease

Solution