The work done by an external agent to shift a point mass from infinity to the centre of the earth is W. Then choose the correct relation.
W $=$ 0
W > 0
W < 0
W $\leq$ 0

W > 0

\leq

=

W < 0

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Solution

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$W_{e x t} = Δ U = U_{f} - U_{i} = U_{f} - 0 = U_{f}$
$W_{e x t} = \frac{- 3 G M m}{2 R} \to W_{e x t} < 0$

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The work done by an external agent to shift a point mass from infinity to the centre of the earth is W. Then choose the correct relation.
W $=$ 0
W > 0
W < 0
W $\leq$ 0

$W_{e x t} = Δ U = U_{f} - U_{i} = U_{f} - 0 = U_{f}$
$W_{e x t} = \frac{- 3 G M m}{2 R} \to W_{e x t} < 0$