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Q.

A hollow sphere of external radius R and thickness t (<<R) is made of a metal of density  ρ. If all units are in CGS, then the sphere will float in water if

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a

t≤Rρ

b

t≤R3ρ

c

t≤R2ρ

d

t≥R2ρ

answer is B.

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Detailed Solution

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Assuming ρ to be specific gravity, 

4πR2tρ≤43πR3⇒t≤R3ρ

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