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Q.

A cylindrical block of area of cross-section A and of material of density ρ is placed in a liquid of density one-third of density of block. The block compresses a spring and compression in the spring is one-third of the length of the block. If acceleration due to gravity is g, the spring constant of the spring is

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a

2ρAg

b

ρAg/3

c

2ρAg/3

d

ρAg

answer is B.

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Detailed Solution

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W = Weight
U = Upthrust
S = Spring force
U + S = W

 (Ah) ρ3g+kh3=(Ah)ρg

k=2ρAg

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