Questions in gravitation

Select	Question
	The angular speed of earth, so that the object on equator may appear weightless, is $(g = 10\,m/{s^2}$, radius of earth 6400 km)
	At what distance from the centre of the earth, the value of acceleration due to gravity g will be half that on the surface (R = radius of earth)
	If density of earth increased 4 times and its radius become half of what it is, our weight will
	A man can jump to a height of 1.5 m on a planet A. What is the height he may be able to jump on another planet whose density and radius are, respectively, one-quarter and one-third that of planet A
	Weight of a body is maximum at
	What will be the acceleration due to gravity at height h if h >> R. Where R is radius of earth and g is acceleration due to gravity on the surface of earth
	The acceleration due to gravity near the surface of a planet of radius R and density d is proportional to
	The acceleration due to gravity is g at a point distant r from the centre of earth of radius R. If $r < R$, then
	A body weight W newton at the surface of the earth. Its weight at a height equal to half the radius of the earth will be
	If the density of the earth is doubled keeping its radius constant then acceleration due to gravity will be $(g = 9.8\,m/{s^2})$