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Q.

Two identical thin spherical shells are kept in contact with each other and the gravitational force experienced by each shell is F. If the radius of each shell is doubled, force experienced by each shell will be

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a

F/4

b

8 F

c

F/2

d

4 F

answer is D.

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Detailed Solution

If σ be the mass per nit surface area of the shells, then mass of each shell is given by, m=4πR2σ∴ f=GMM(2R)2=G(4πR2σ)24R2⇒FαR2∴ F1F=(2RR)2⇒F1=4F
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