Gravitation Test

Result

Gravitation Test - 73

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Weekly Quiz Competition

Question 1
4 / -1

A geostationary satellite is orbiting the earth at a height of 5R above that surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2R from the surface of the earth is

A
5

B
10

C

D

Solution
Question 2
4 / -1

The figure shows elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. If t₁, is the time for the planet to move from C andD and t₂ is the time to move from A to B then

A
t₁> t₂

B
t₁ = 4t₂

C
t₁ = 2t₂

D
t₁ = t₂

Solution
Question 3
4 / -1

The period of a satellite in a circular orbit of radius R is T, the period of another satellite in a circular orbit of radius 4R is

A
4 T

B
T/4

C
8 T

D
T/8

Solution
Question 4
4 / -1

If a body describes a circular motion under inverse square field, the time taken to complete one revolution T is related to the radius of the circular orbit as

A
T ∝r

B
T ∝r²

C
T²∝ r³

D
T∝ r⁴
Question 5
4 / -1

A body is acted upon by a force towards a point. The magnitude of the force is inversely proportional to the square of the distance. The path of body will be

A
Ellipse

B
Hyperbola

C
Circle

D
Parabola

Solution
Question 6
4 / -1

Kepler\'s second law regarding constancy of aerial velocity of a planet is a consequence of the law of conservation of

A
Energy

B
Angular momentum

C
Linear momentum

D
None of these

Solution
Question 7
4 / -1

A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is R₀ and mass of the earth M, the angular momentum about the centre of the earth is

A

B

C

D

Solution
Question 8
4 / -1

According to Kepler, the period of revolution of a planet (7) and its mean distance from the sun (r) are related by the equation

A
T³r³ = constant

B
T²r^–3 = constant

C
Tr³ = constant

D
T²r = constant

Solution
Question 9
4 / -1

The condition for a uniform spherical mass m of radius r to be a black hole is [G = Gravitational constant and g =Acceleration due to gravity]

A
(2Gm / r)^1/2 ≤ c

B
(2Gm/r)^1/2 = c

C
(2Gm/r)^1/2≥ c

D
(gm/r)^1/2≥ c

Solution
Question 10
4 / -1

A body revolved around the sun 27 times faster than the earth. What is the ratio of their radii?

A
1/3

B
1/9

C
1/27

D
1/4

Solution