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Q.

If a spherical shell is cut into two pieces along a chord as shown in figure and point P and Q have gravitational intensities I_P and I_Qrespectively, then

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a

$I_{P} < I_{Q}$

b

$I_{P} > I_{Q}$

c

$I_{P} = I_{Q} = 0$

d

$I_{P} = I_{Q} \neq 0$

answer is C.

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Detailed Solution

At the centre, we have $I_{P} = I_{Q} \neq 0$

Gravitational field inside a shall is zero,
Hence, $I_{P} = I_{Q}$

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If a spherical shell is cut into two pieces along a chord as shown in figure and point P and Q have gravitational intensities IP and IQ respectively, then