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Question

Physics Question on Gravitation

If V is the gravitational potential on the surface of the earth, then what is its value at the centre of earth?

A

zero

B

2V

C

3V

D

32V\frac{3}{2}V

Answer

32V\frac{3}{2}V

Explanation

Solution

At centre,
Vc=32GMRV_{c}=-\frac{3}{2} \frac{G M}{R}, on surface V=GMRV=-\frac{G M}{R}
Vc=32V\therefore V_{c}=\frac{3}{2} V