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A spherical shell is cut into two pieces...

A spherical shell is cut into two pieces along a chord as shown in the figure. `P` is a 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?

A

`I_(1)gtI_(2)`

B

`I_(1)ltI_(2)`

C

`I_(1)=I_(2)`

D

no definite relation

Text Solution

Verified by Experts

The correct Answer is:
C
At the point `P`, we have `I_(1)-I_(2)=0` (because the gravitational field inside a shell is zero). Hence `I_(1)=I_(2)`
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