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)

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 × 106 (B) 2.4 × 103 (C) 4.8 × 107  (D) 6.4 × 1014

Tardigrade Admin · Accepted Answer

Gravitational intensity at point P, I = (GM/r2) and gravitational potential V = - (GM/r) V = I × r = 6 N/kg × 8000 km = 4.8 × 107 (Joule/kg)

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

$8 \times 1 0^{6}$

$2.4 \times 1 0^{3}$

$4.8 \times 1 0^{7}$

$6.4 \times 1 0^{14}$

Gravitational intensity at point $P$ ,
$I = \frac{GM}{r ^{2}}$
and gravitational potential $V = - \frac{GM}{r}$

$V = I \times r = 6 N / k g \times 8000 km$

$= 4.8 \times 1 0^{7} \frac{J o u l e}{k g}$

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

8×106

2.4×103

4.8×107

6.4×1014