The gravitational force between two point masses and at separation r is given by
The constant k:
1. | depends on the system of units only. |
2. | depends on the medium between masses only. |
3. | depends on both (a) and (b). |
4. | is independent of both (a) and (b). |
The centripetal force acting on a satellite orbiting around the earth and the gravitational force of the earth acting on the satellite, both are equal to F. The net force on the satellite is:
1. Zero
2. F
3.
4. 2 F
Two identical solid copper spheres of radius R are placed in contact with each other. The gravitational attraction between them is proportional to
1.
2.
3.
4.
An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy . Its potential energy is?
1. | 2. | ||
3. | 4. |
Radii and densities of two planets are and respectively. The ratio of accelerations due to gravity on their surfaces is:
1.
2.
3.
4.
1 kg of sugar has maximum weight:
1. at the pole.
2. at the equator.
3. at a latitude of 45.
4. in India.
A body is thrown vertically upwards with an initial speed , where R is the radius of the earth. The maximum height reached by the body from the surface of the earth is:
1.
2.
3. R
4.
A particle is located midway between two point masses each of mass \(\mathrm{M}\) kept at a separation \(2\mathrm{d}.\) The escape speed of the particle is: (neglect the effect of any other gravitational effect)
1.
2.
3.
4.
Three identical particles each of mass M are located at the vertices of an equilateral triangle of side a. The escape speed of one particle will be:
1.
2.
3.
4.
The escape velocities from the surface of two planets of the same mass are in the ratio of . The ratio of their densities is:
1. | 1: 2 | 2. | 1: 4 |
3. | 1: 8 | 4. | 1: 16 |