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Q.

A hollow sphere of relative density 2 floats completely immersed on the surface of water. If the exterior(total) volume of the sphere be  V, then the volume of the cavity will be

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a

V2

b

V3

c

V4

d

V8

answer is A.

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Detailed Solution

For equilibrium, weight is balanced by buoyant force. mg=B ⇒ρSV-VCg=ρLVg ⇒2V-VC=V ⇒VC=V2
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