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.