Question

The height at which the weight of a body becomes (1/16)th , its weight on the surface of earth (radius R), is

(a) 5 R

(b) 15 R

(c) 3 R

(d) 4 R

Answer 1

Correct option (c) 3 R

Explanation:

Acceleration due to gravity at a height h from the surface of earth is

where g is the acceleration due to gravity at the surface of earth and R is the radius of earth. Multiplying by m (mass of the body) on both sides in (i), we get