Two planets have the same average density but their radii are and . If acceleration due to gravity on these planets be and respectively, then
1. =
2. =
3. =
4. =
Assume that the acceleration due to gravity on the surface of the moon is 0.2 times the acceleration due to gravity on the surface of the earth. If is the maximum range of a projectile on the earth’s surface, what is the maximum range on the surface of the moon for the same velocity of projection ?
1. 0.2
2. 2
3. 0.5
4. 5
If the density of the earth is increased \(4\) times and its radius becomes half of what it is, our weight will be:
1. four times the present value
2. doubled
3. the same
4. Halved
The escape velocity on earth is 11.2 km/s. On another planet having twice radius and 8 times mass of the earth, the escape velocity will be
1. 3.7 km/s 2. 11.2 km/s
3. 22.4 km/s 4. 43.2 km/s
When a body is taken from the equator to the poles, its weight
1. Remains constant
2. Increases
3. Decreases
4. Increases at N-pole and decreases at S-pole
The escape velocity of a body on the surface of the earth is 11.2 km/s. If the earth's mass increases to twice its present value and the radius of the earth becomes half, the escape velocity would become
1. 5.6 km/s
2. 11.2 km/s (remain unchanged)
3. 22.4 km/s
4. 44.8 km/s
1. | Its mass increases |
2. | Its mass decreases |
3. | Its weight increases |
4. | Its weight decreases |
Given mass of the moon is 1/81 of the mass of the earth and corresponding radius is 1/4 of the earth. If escape velocity on the earth surface is 11.2 km/s, the value of same on the surface of the moon is
1. 0.14 km/s
2. 0.5 km/s
3. 2.5 km/s
4. 5 km/s
The angular velocity of rotation of star (of mass M and radius R) at which the matter start to escape from its equator will be
1.
2.
3.
4.
A body weighs 700 gm wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass of earth's mass and radius is half that of the earth ?
1. 200 gm wt
2. 400 gm wt
3. 50 gm wt
4. 300 gm wt