Q.37) A body weighs 48 N on the surface of the Earth. The gravitational force experienced by the body due to the earth at a beight equal to one-third the radius of the earth from its surface is :
A) 36 N
B) 16 N
C) 27 N
D) 32 N
The variation of g with height h is given as-
$g' = g\left( 1 - \frac{2h}{R}\right)$
$g' = g\left( 1 - \frac{2R}{3R}\right)$
$g' = \frac{g}{3}$
Thus the force will also be one-third.
$F' = \frac{F}{3} = \frac{48}{3} = 16N$
Hence, the answer is the option 2.