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A solid sphere of uniform density and ma...

A solid sphere of uniform density and mas M has radius 4M. Its centre is at the origin of the coordinate system. Two speres of radii 1 m are taken out so tht their centres are at `P(0,-2,0)` and `Q(0,2,0)` respectively. This leaves two sphericla cavities. What is the gravitational field at the origin of the coordinate axes?

A

`(31GM)/1024`

B

`(GM)/1024`

C

`31GM`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D
Mass of the removed part `m=M/64`
`vecI_(R)=vecI+vecI_(P)+vecI_(Q)`
`vecI=0,vecI_(P)=-vecI_(Q),vecI_(R)=0`
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