Gravitation Test

Result

Gravitation Test - 48

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Weekly Quiz Competition

Question 1
4 / -1

The gravitational field due to a mass distribution is E = K/x³ in the x-direction. (K is a constant). Taking the gravitational potential to be zero at infinity, its value at a distance x is

A
K/x

B
K/2x

C
K/x²

D
K/2x²

Solution
Question 2
4 / -1

The mass of the earth is 6.00 × 10²⁴ kg and that of the moon is 7.40 × 10²² kg. The constant of gravitation G = 6.67 × 10^–11 N – m²/kg². The potential energy of the system is –7.79 × 10²⁸ joules. The mean distance between the earth and moon is

A
3.80 × 10⁸ m

B
3.37 × 10⁶ m

C
7.60 × 10⁴ m

D
1.90 × 10² m

Solution
Question 3
4 / -1

The escape velocity from earth is v_es. A body is projected with velocity 2v_es with what constant velocity will it move in the inter planetary space

A
v_es

B
3v_es

C
√3v_es

D
√5v_es

Solution
Question 4
4 / -1

If mass of earth is M, radius is R and gravitational constant is G, then work done to take 1 kg mass from earth surface to infinity will be

A

B

C

D

Solution
Question 5
4 / -1

There are two bodies of masses 100 kg and 10000 kg separated by a distance 1 m. At what distance from the smaller body, the intensity of gravitational field will be zero?

A

B

C

D

Solution
Question 6
4 / -1

Energy required to move a body of mass m from an orbit of radius 2R to 3R is

A
GMm/12R²

B
GMm/3R²

C
GMm/8R

D
GMm/6R

Solution
Question 7
4 / -1

Gas escapes from the surface of a planet because it acquires an escape velocity. The escape velocity will depend on which of the following factors :
I. Mass of the planet
II. Mass of the particle escaping
III. Temperature of the planet
IV. Radius of the planet
Select the correct answer from the codes given below :

A
I and II

B
II and IV

C
I and IV

D
I,III and IV

Solution
Question 8
4 / -1

Infinite number of masses, each 1 kg, are placed along the x axis at x = ± 1 m, ± 2m, ± 4m, ± 8m, ± 16m... The magnitude of the resultant gravitational potential in terms of gravitational constant G at the origin (x = O) is

A
G/2

B
G

C
2G

D
4G

Solution
Question 9
4 / -1

The escape velocity of a sphere of mass m from earth having mass M and radius R is given by

A

B

C

D
Question 10
4 / -1

A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is

A
Positive

B
Negative

C
Zero

D
May be positive or negative depending upon its initial velocity