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Q.

A solid whose volume does not change with temperature, floats in a liquid. Fractions f1 and f2 of its volume remain submerged for two different temperatures t1and t2 of liquid. The volume coefficient of expansion of liquid is

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a

f1+f2f1t1+f2t2

b

f1+f2f1t2+f2t1

c

f1-f2f1t1+f2t2

d

f1-f2f2t1-f1t2

answer is D.

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Detailed Solution

For floating body B = Wρt.V.g = σ.VS.g
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A solid whose volume does not change with temperature, floats in a liquid. Fractions f1 and f2 of its volume remain submerged for two different temperatures t1and t2 of liquid. The volume coefficient of expansion of liquid is