Gravitation Test

Result

Gravitation Test - 82

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
4 / -1

A satellite of mass ms revolving in a circular orbit of radius r_s around the earth of mass M, has a total energy E. Then its angular momentum will be

A

B

C

D

Solution
Question 2
4 / -1

At a given place where, acceleration due to gravity is gm/sec², a sphere of lead of density d kg/metre³ is gently released in a column of liquid of density ρ kg/metre³. If d>ρ, the sphere will

A
fall vertically with an acceleration of g m/s²

B
fall vertically with no acceleration

C

D

Solution
Question 3
4 / -1

An artificial satellite of mass m is revolving round the earth in an orbit of radius R, the work done in one revolution is

A
mgR

B
1/2 mgR

C
2πmgR

D
zero

Solution
Question 4
4 / -1

A satellite is circling the earth along a circular orbit of radius R. Which of the following is not true ?

A
Kinetic energy varies as 1/R

B

C

D

Solution
Question 5
4 / -1

The magnitudes of the gravitational field at distance r₁ and r₂ from the centre of a uniform sphere of radius R and mass M are F₁ and F₂ respectively. Then

A

B

C

D

Solution
Question 6
4 / -1

The escape velocity on the surface of the earth is 11.2 km/s. What would be the escape velocity on the surface of another planet of the same mass but 1⁄4 times the radius of the earth ?

A
44.8 km/s

B
22.4 km/s

C
5.6 km/s

D
11.2 km/s

Solution
Question 7
4 / -1

A solid sphere of uniform density and radius 4 units is located with its centre at the origin O. Two spheres of equal radii 1 unit with their centres at A (–2, 0, 0) and B (2, 0, 0) respectively are taken out of the solid leaving behind cavities as shown in fig. Then

A
the gravitational field due to this object at the origin is zero.

B
the gravitational potential is the same at all points on the circle, y² + z² = 36.

C
the gravitational potential is the same at all points on the circle y² + z² = 4.

D
all of these are true.
Question 8
4 / -1

The spherical hole of radius R/2 is made in a solid sphere of radius R. The mass of the sphere before hollowing was M. The gravitational field at the centre O₁ of the hole due to the remaining mass is

A
zero

B

C

D

Solution
Question 9
4 / -1

A point P lies on the axis of a ring of mass M and radius r, at a distance r from its centre O. A small particle starts from P and reaches O under gravitational attraction only. Its speed at O will be

A
zero

B

C

D

Solution
Question 10
4 / -1

The masses and radii of the earth and moon are M₁, R₁ and M₂, R₂ respectively. Their centres are distance d apart. The minimum velocity with which a particle of mass m should be projected from a point midway between their centres so that it escapes to infinity is

A

B

C

D

Solution