A hypothetical planet in the shape of a sphere is completely made of an incompressible fluid and has a mass M and radius R. If the pressure at the surface of the planet is zero, then the pressure at the centre of the planet is [G = universal constant of gravitation]

A planet has twice the values of mass and radius of earth. Acceleration due to gravity on the surface of the planet is :

If potential at the surface of a planet is taken as zero, the potential at infinty will be ( M and R are mass of radius of the planet)

If potential at the surface of a planet is taken as zero, the potential at infinty will be ( M and R are mass of radius of the planet)

Diameter of a planet is 10d_(@) , its mean density is (rho_(@))/(4) and mass of its atmosphere is 10m_(@) where d^(@) , rho^(@) and m^(@) are diameter, mean density and mass of atmosphere respectively for the earth. Assume that mean density of atmosphere is same on the planet and the earth and height of atmosphere on both the planets is very small compared to their radius. Find the ratio of atmospheric pressure on the surface of the planet to that on the earth. If a mercury barometer reads 76 cm on the surface of the earth, find its reading on the surface of the planet.

A planet has mass equal to mass of the earth but radius one fourth of radius of the earth . Then escape velocity at the surface of this planet will be

A planet has mass equal to mass of the earth but radius one fourth of radius of the earth . Then escape velocity at the surface of this planet will be

An object is propelled vertically to a maximum height of 4R from the surface of a planet of radius R and mass M. The speed of object when it returns to the surface of the planet is -

The mass of a satellite is M//81 and radius is R//4 where M and R are the mass and radius of the planet. The distance between the surfaces of planet and its satellite will be atleast greter than:

If v_(e) is the escape velocity of a body from a planet of mass 'M' and radius 'R . Then the velocity of the satellite revolving at height 'h' from the surface of the planet will be