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Q.

Gravitational potential at the centre of the earth is V assuming the earth as a uniform sphere of radius R with uniform density. If the central portion of earth of radius R/2 is removed leaving behind a cavity (assume), gravitational potential on the surface of the earth will change to 2NV3(N+1) where N = _____

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answer is 7.

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Detailed Solution

Potential at the center of earth , V=-3GM2RPotential on the surface before, Vs=-GMRRemaining Mass, M'=7M8Potential on the surface after removal, V's=-GM'R=27V37+1Ans N = 7
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Gravitational potential at the centre of the earth is V assuming the earth as a uniform sphere of radius R with uniform density. If the central portion of earth of radius R/2 is removed leaving behind a cavity (assume), gravitational potential on the surface of the earth will change to 2NV3(N+1) where N = _____