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Question

A solid sphere of uniform density and mass M has radius 4m. Its centre is at the origin of the coordinate system. Two spheres of radii 1m are taken out so that their centres are at P(0,−2,0) and Q(0,2,0), respectively. This leaves two spherical cavities. What is the gravitational field at the origin of the coordinate axes?
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A
31GM1024
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B
Gm1024
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C
31GM
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D
Zero
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Solution

The correct option is D Zero
Due to symmetry,force will be equal from all sides and hence Ans 0

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