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A point mass m is placed inside a spheri...

A point mass m is placed inside a spherical shell of radius R and mass M at a distance `R/2` form the centre of the shell. The gravitational force exerted by the shell on the point mass is

A

`(GMm)/(R^2)`

B

`- (GMm)/(R^2)`

C

0

D

`4 (GMm)/(R^2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Gravitational field (E) due to a spherical shell of radius R and mass Mat a point distance r from the centre of the shell is given as follows:
(i) (1) At a point outside the shell `i.e., r gt R , E_("outside") = - (GM)/(r^2)`
(ii) At a point on the surface of the shell i.e., r =R
`E_("surface")= -(GM)/(R^2)`
(iii) At a point inside the shell i.e., r < R. `E_("inside") = 0 `
The gravitational force acting on a point mass m at a distance R/2 is F=m `E_("inside") = 0`
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