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Question: The magnitude of the gravitational field at distances r<sub>1</sub>& r<sub>2</sub> from the centre o...

The magnitude of the gravitational field at distances r1& r2 from the centre of a uniform sphere of radius R & mass M are F1& F2 respectively then –

A

= if r1< R & r2< R

B

= if r1> R & r2> R

C

= if r1> R & r2> R

D

= if r1< R & r2< R

Answer

= if r1< R & r2< R

Explanation

Solution

We know for uniform sphere when r < R

F = & when r > R

F =

so when r1 < R & r2 < R

= & when r1 > R & r2 > R

r22r12\frac { \mathrm { r } _ { 2 } ^ { 2 } } { \mathrm { r } _ { 1 } ^ { 2 } }