Gravitation Test

Result

Gravitation Test - 69

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Weekly Quiz Competition

Question 1
4 / -1

A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point situated at a/2 distance from the centre, will be

A

B

C

D

Solution
Question 2
4 / -1

A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is

A

B

C

D

Solution
Question 3
4 / -1

The mass and radius of the sun are 1.99 × 10³⁰ kg and R = 6.96 × 10⁸ m. The escape velocity of a rocket from the Sun is

A
11.2 km/s

B
2.38 km/s

C
59/5 km/s

D
618 km/s

Solution
Question 4
4 / -1

If v_e and v₀ represent the escape velocity and orbital velocity of a satellite corresponding to a circular orbitof radius R, then

A

B

C

D

Solution
Question 5
4 / -1

Geostationary satellite

A
Falls with g towards the earth

B
Has period of 24 hrs

C
Has equatorial orbit

D
Above all correct
Question 6
4 / -1

An astronaut orbiting the earth in a circular orbit 120 km above the surface of earth, gently drops a spoon out of space-ship. The spoon will

A
Fall vertically down to the earth

B
Move towards the moon

C
Will move along with space-ship

D
Will move in an irregular way then fall down to earth
Question 7
4 / -1

A synchronous satellite goes around the earth once in every 24 h. What is the radius of orbit of the synchronous satellite in terms of the earth\'s radius (Given mass of the earth, m_e = 5.98 × 10²⁴ kg, radius of earth, r_e = 6.37 × 10⁶m. Universal constant of gravitation, G = 6.67 × 10^–11 Nm²–kg^–2

A
2.4r_e

B
3.6r_e

C
4.8r_e

D
6.6r_e

Solution
Question 8
4 / -1

Two satellites A and B go round a planet P in circular orbits having radii 4R and R respectively. If the speed of the satellite A is 3V, the speed of the satellite B will be

A
12 V

B
6 V

C
4/3V

D
3/2V

Solution
Question 9
4 / -1

A small satellite is revolving near earth\'s surface. Itsorbital velocity will be nearly

A
8 km/sec

B
11.2 km/sec

C
4 km/sec

D
6 km/sec
Question 10
4 / -1

If the height of a satellite from the earth is negligible in comparison to the radius of the earth R, the orbital velocity of the satellite is

A

B

C

D