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Question

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?

A

I1>I2
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B

I1<I2
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C

I1=I2
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D

no definite relation
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Solution

The correct option is C
I1=I2
The Gravitational field inside a spherical shell is zero.
So, I1+I2=0
I1=I2
Hence, magnitudes of gravitational field intensities are equal, |I1|=|I2|

Key Concept: The gravitational fieldinside a spherical shell is zero.

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