A spherical shell is cut into two pieces along a chord as shown in the figure. $P$ is a point on the plane…
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?
$I_1>I_2$
$I_2>I_1$
$I_1=I_2$
No definite relation
Solution
At point $P$, we have $I_1-I_2=0$
Because gravitational field inside a shell is zero.
Hence,
$
I_1=I_2
$
