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qUESTIONS

A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11 km s^-1, the escape velocity from the surface of the planet would be

The time period of a geostationary satellite at a height 36000 km is 24 hrs. A spy satellite orbits very close to earth surface (R=6400 km). What will be its time period

The acceleration due to gravity near the surface of a planet of radius R and density d is proportional to

What is the minimum energy required to launch a satellite of mass m from the surface of the earth of mass M and radius R in a circular orbit at an altitude of 2R

A system of binary stars of masses mA and mB are moving in circular orbits of radii rA and rB respectively. If TA and TB are the times periods of masses mA and mB respectively then

A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to the nth power of R. If the period of rotation of the particle is T. then

If the angular momentum of a planet of mass m, moving around the sun in a circular orbit is L, about the center of the sun, its areal velocity is

The energy required to take a satellite to a height ‘h’ above Earth surface (radius of earth 6.4×10³ km) is E1 and kinetic energy required for the satellite to be in a circular orbit at this height is E2. The value of h for which E1 and E2 are equal is

A satellite is moving with a constant speed v in circular orbit around the earth. An object of mass ‘m’ is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of ejection, the kinetic energy of the object is

Two stars of masses 3×10^31 kg each, and at distance 2 X 10^11 m rotate in a plane about their common centre of mass O. A meteorite passes through O moving perpendicular to the star’s rotation plane. In order to escape from the gravitational field of this double star, the minimum speed that meteorite should have at O is (Take Gravitational constant G =6.67 X 10^-11Nm^2kg^-2)

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