First slide

Gravitaional potential at a point

Question

If gravitational potential at an altitude ‘R’ above the surface of earth is ‘U’, Then gravitational potential at the centre of earth will be ______

Moderate

A

2 U
B

4 U
C

3 U
D

$\frac{3 U}{2}$

Solution

$\begin{array}{l} U = - \frac{G . M}{(R + R)} = - \frac{G M}{2 R} . \\ ∴ U_{S} = P o t e n t i a l o n t h e s u r f a c e = - \frac{G M}{R} = 2 U \\ N o w U_{C} = P o t e n t i a l o n t h e c e n t r e = \frac{3}{2} U_{S} = 3 U \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App