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Q.

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 I1 and that due to the lower part is I2. What is the relation between them?

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a

I1> I2

b

I1< I2

c

I1= I2

d

no definite

answer is C.

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Detailed Solution

For a uniform spherical shell the field intensity at any inside point is zero. So I1+I2=0
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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 I1 and that due to the lower part is I2. What is the relation between them?