XI_physics_gravitation_1 Online Test

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

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