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qUESTIONS

The Earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the surface of the Earth. The escape velocity of a body from this platform is fv, where v is its escape velocity from the surface of the Earth. The value of f is

Escape velocity on the surface of earth is 11.2km/s. Escape velocity from a planet whose mass is the same as that of earth and radius 1/4 that of earth is

A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass = 5.98 x 10^24 kg) have to be compressed to be a black hole

The ratio of escape velocity at earth (ve) to the escape velocity at a planet (vp) whose radius and mean density are twice as that of earth is

Which one of the following plots represents the variation of gravitational field on a particle with distance r due to a thin spherical shell of radius R (r is measured from the centre of the spherical shell)

A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of go, the value of acceleration due to gravity at the earth’s surface, is

Two satellites of earth S1 and S2 are moving in the same orbit. The mass of S1 is four times the mass of S2. Which one of the following statements is true

Two satellites A and B go around a planet in circular orbits having radii 4R and R, respectively. If the speed of satellite A is 3u, then speed of satellite B is

A remote-sensing satellite of earth revolves in a circular orbit at a height of 0.25×10^6 m above the surface of earth. If earth’s radius is 6.38×10^6 m and g=9.8ms^-2, then the orbital speed of the satellite is

If ve, and vo, represent the escape velocity and orbital velocity of a satellite corresponding to a circular orbit of radius R, then

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