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  4. The work done by an external agent to shift a point mass from infinity to the center of the earth is 'W'. Then choose the correct relation.

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Q. The work done by an external agent to shift a point mass from infinity to the center of the earth is 'W'. Then choose the correct relation.

Gravitation

Solution:

$W _{\text {ext }}=\Delta U = U _{ f }- U _{ i }= U _{ f }-0= U _{ f }$
$W _{ ext }=\frac{-3 GMm }{2 R } \rightarrow W _{\text {ext }}<0$