A thin uniform angular disc (see figure) of mass \( M \) has outer radius \( 4 R \) and inner ra...

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A thin uniform angular disc (see figure) of mass \( M \) has outer radius \( 4 R \) and inner radius \( 3 R \). The work required to take a unit mass from point \( P \) on its axis to infinity is
(a) \( \frac{2 G M}{7 R}(4 \sqrt{2}-5) \)
(b) \( -\frac{2 G M}{7 R}(4 \sqrt{2}-5) \)
(c) \( \frac{G M}{4 R} \)
(d) \( \frac{2 G M}{5 R}(\sqrt{2}-1) \)
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