Questions

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

${\mathrm{I}}_{1}>{\mathrm{I}}_{2}$

b

${\mathrm{I}}_{1}<{\mathrm{I}}_{2}$

c

${\mathrm{I}}_{1}={\mathrm{I}}_{2}$

d

no definite relation

detailed solution

Correct option is C

At point P, we have ${\mathrm{I}}_{1}-{\mathrm{I}}_{2}=0$ (because the gravitational field inside a shell is zero). Hence,${\mathrm{I}}_{1}={\mathrm{I}}_{2}$.

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