Gravitation · Physics · WB JEE

If the earth shrinks such that its mass does not change but radius decreases to one quarter of its original value then one complete day will take

The weight of a body on surface of earth is 12.6 N. When it is raised to a height half the radius of earth, its weight will be

A satellite of mass $$\mathrm{m}$$ rotates round the earth in a circular orbit of radius R. If the angular momentum of the satellite is J, then its kinetic energy $$(\mathrm{K})$$ and the total energy (E) of the satellite are

Acceleration due to gravity at a height H from the surface of a planet is the same as that at a depth of H below the surface. If R be the radius of the planet, then H vs. R graph for different planets will be,

An earth's satellite near the surface of the earth takes about 90 min per revolution. A satellite orbiting the moon also takes about $$90 \mathrm{~min}$$ per revolution. Then which of the following is true?

[where $$\rho_{\mathrm{m}}$$ is density of the moon and $$\rho_{\mathrm{e}}$$ is density of the earth.]

A body of mass m is thrown vertically upward with speed $$\sqrt3$$ v_e, where v_e is the escape velocity of a body from earth surface. The final velocity of the body is