A spherical shell is cut into two pieces along a chord as shown in the figure. P is point on the plane of the chord. The gravitational field at P due to the upper part is `I_(1)` and that due to the lower part is `I_(2)`.What is the relation between them?

Options

A. `I_(1)gtI_(2)`
B. `I_(1)ltI_(2)`
C. `I_(1)=I_(2)`
D. no definite relation

Answer

C

Explanation

At the pont P we have `I_(1)-I_(2)=0`
(Because the gravitationa field inside a shell is zero).
Hence `I_(1)=I_(2)`