Question

The intensity of gravitational field at a point situated at a distance of 8000 km from the centre of the earth is $6 \,N/kg$. The gravitational potential at that point is - (in Joule/kg)

• A. $8 \times 10^6$
• B. $2.4 \times 10^3$
• C. $4.8 \times 10^7 $
• D. $6.4 \times 10^{14}$

Answer 1

Answer: (C)

Gravitational intensity at point $P$,
$ I = \frac{GM}{r^2}$
and gravitational potential $V = - \frac{GM}{r}$
$V = I \times r = 6\,N/kg \times 8000\,km$
$ = 4.8 \times 10^7 \frac{Joule}{kg}$