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The escape velocity of a rocket launched from the surface of the earth ____.

Does not depend on the mass of the rocket

Does not depend on the mass of the earth

Depends on the mass of the planet towards which it is moving

Depends on the mass of the rocket

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 velocity with which a projectile must be fired so that it escapes earth’s gravitation does not depend on _____.

Mass of the earth

Mass of the projectile

Radius of the projectile’s orbit

Gravitational constant

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

The acceleration due to gravity on a planet is same as that on earth and its radius is four times that of earth. What will be the value of escape velocity on that planet if it is on earth?

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

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

and denotes the escape velocity from the earth and another planet having twice the radius and the same mean density as the earth. Then _____.

The escape velocity from the earth is about 11 km/second. The escape velocity from a planet having twice the radius and the same mean density as the earth is _____.

22 km / s

11 km / s

5.5 km / s

15.5 km / s

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

Positive

Negative

Zero

May be positive or negative depending upon its initial velocity

Does not depend on the mass of the rocket

Does not depend on the mass of the earth

Depends on the mass of the planet towards which it is moving

Depends on the mass of the rocket

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 velocity with which a projectile must be fired so that it escapes earth’s gravitation does not depend on _____.

Mass of the earth

Mass of the projectile

Radius of the projectile’s orbit

Gravitational constant

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

The acceleration due to gravity on a planet is same as that on earth and its radius is four times that of earth. What will be the value of escape velocity on that planet if it is on earth?

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

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

and denotes the escape velocity from the earth and another planet having twice the radius and the same mean density as the earth. Then _____.

The escape velocity from the earth is about 11 km/second. The escape velocity from a planet having twice the radius and the same mean density as the earth is _____.

22 km / s

11 km / s

5.5 km / s

15.5 km / s

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

Positive

Negative

Zero

May be positive or negative depending upon its initial velocity

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

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