Q.

A cube of side (a) and of coefficient of linear expansion αS is floating in a liquid of coefficient of real expansion γLat 0°C. Even if the temperature of the system (cube and liquid) is raised, depth of the cube submerged in the liquid remains same. Then γL/αS is equal to

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answer is 2.

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Detailed Solution

Buoyancy force1 = Buoyance force2

xa2dLg=xa12dL2g

where x is the depth immersed

a2dL=a21+αSΔt2dL1+γLΔtγL=2αS

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