Questions in gravitation

Select	Question
	A particle falls towards earth from infinity. It’s velocity on reaching the earth would be
	Gas escapes from the surface of a planet because it acquires an escape velocity. The escape velocity will depend on which of the following factors : I. Mass of the planet II. Mass of the particle escaping III. Temperature of the planet IV. Radius of the planet Select the correct answer from the codes given below :
	$v_e$ and ${v_p}$ denotes the escape velocity from the earth and another planet having twice the radius and the same mean density as the earth. Then
	The escape velocity of a sphere of mass m from earth having mass M and radius R is given by
	The escape velocity for a rocket from earth is 11.2 km/sec. Its value on a planet where acceleration due to gravity is double that on the earth and diameter of the planet is twice that of earth will be in km/sec [NCERT 1983;
	The escape velocity from the earth is about 11 km/second. The escape velocity from a planet having twice the radius and the same mean density as the earth, is
	A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is
	If g is the acceleration due to gravity at the earth's surface and r is the radius of the earth, the escape velocity for the body to escape out of earth's gravitational field is
	The escape velocity of a projectile from the earth is approximately
	The escape velocity of a particle of mass m varies as