Gravitation Mock Tests

A body of mass m is projected from the surface of Earth with a velocity equal to half the escape velocity. The maximum height reached by the body is: (R = radius of Earth)

The escape velocity from Earth is 11.2 km/s. The escape velocity from a planet with 4 times Earth's mass and twice Earth's radius is:

A satellite orbits the Earth at a height h = R_E (Earth's radius) above the surface. If the escape velocity from Earth's surface is 11.2 km/s, the orbital velocity of the satellite is:

Two objects of masses m₁ and m₂ (m₁ > m₂) are dropped from the same height. They will reach the ground:

Two satellites A and B orbit the Earth in circular orbits of radii r and 4r respectively. If the period of satellite A is T, the period of satellite B is:

A body of mass m is projected vertically upward with speed u from the surface of Earth (radius R). The maximum height reached above the surface is u²R/[2gR − u²]. The maximum value of u for the body to remain bound to Earth is:

The relative density of gold is 19.3. Its density in SI units is:

The orbital velocity of a satellite close to Earth surface is approximately: