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Q.

A thin uniform annular disc ( see figure ) of mass M has outer radius 4R and inner radius 3R. The work required to take a unit mass from point P on its axis to infinity is

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a

2GM7R(42−5)

b

−2GM7R(42−5)

c

2GM5R(2−1)

d

GM2R

answer is A.

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Detailed Solution

dm=M(2πr)drπ16R2−9R24RdV=−G(dm)r2+16R2; V=∫3R4R dVW=mV∞−V
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