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The ratio of the radii of planets A and B is and ratio of acceleration due to gravity on them is . The ratio of escape velocities from them will be _____.

The radius of a planet is of earth’s radius and its acceleration due to gravity is double that of earth’s acceleration due to gravity. How many times will the escape velocity at the planet’s surface be as compared to its value on earth’s surface?

2

A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take _____.

6.67 ( 10–9 J

6.67 ( 10–10 J

13.34 ( 10–10 J

3.33 ( 10–10 J

The ratio of SI units to CGS of the gravitational intensity is ____.

103

infinity

zero

102

Consider the earth to be a homogeneous sphere. Scientist A goes deep down in a mine and scientist B goes up high in a balloon. The gravitational field measured by ____.

A goes on decreasing and that by B goes on increasing

B goes on decreasing and that by A goes on increasing

each remains unchanged

each goes on decreasing

The universal law of gravitation was postulated by ____.

Copernicus

Newton

Galileo

Archimedes

If the mass and the radius of the earth are doubled, then the escape velocity from its surface will become

two-fold

four-fold

eight-fold

remain unchanged

The escape velocity of an object from the surface of earth is about

2.5 km/s

5.5 km/s

11.2 km/s

7.8 km/s

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

K/x

K/2x

The kinetic energy needed to project a body of mass m from the earth surface (radius R) to infinity is _____.

mgR/2

2 mgR

mgR

mgR/4

The radius of a planet is of earth’s radius and its acceleration due to gravity is double that of earth’s acceleration due to gravity. How many times will the escape velocity at the planet’s surface be as compared to its value on earth’s surface?

2

A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take _____.

6.67 ( 10–9 J

6.67 ( 10–10 J

13.34 ( 10–10 J

3.33 ( 10–10 J

The ratio of SI units to CGS of the gravitational intensity is ____.

103

infinity

zero

102

Consider the earth to be a homogeneous sphere. Scientist A goes deep down in a mine and scientist B goes up high in a balloon. The gravitational field measured by ____.

A goes on decreasing and that by B goes on increasing

B goes on decreasing and that by A goes on increasing

each remains unchanged

each goes on decreasing

The universal law of gravitation was postulated by ____.

Copernicus

Newton

Galileo

Archimedes

If the mass and the radius of the earth are doubled, then the escape velocity from its surface will become

two-fold

four-fold

eight-fold

remain unchanged

The escape velocity of an object from the surface of earth is about

2.5 km/s

5.5 km/s

11.2 km/s

7.8 km/s

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

K/x

K/2x

The kinetic energy needed to project a body of mass m from the earth surface (radius R) to infinity is _____.

mgR/2

2 mgR

mgR

mgR/4

This test will help you to prepare for AIEEE and IIT JEE exams.

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