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A cubical block of co-efficient of linea...

A cubical block of co-efficient of linear expansion `alpha_s` is submerged partially inside a liquid of co-efficient of volume expansion `gamma_l`. On increasing the temperature of the system by `DeltaT`, the height of the cube inside the liquid remains unchanged. Find the relation between `alpha_s and gamma_l`.

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The correct Answer is:
B

When termperature increases volume of cube increases while denisity of liquid decreases up thurst remains same
`F = F'`
`V_(1)rho_(L)g = V_(1)^(1)rho_(L)^(1)g`
`Ah_(1)rho_(L) = A(1 + 2alpha_(s)DeltaT)h_(1)[(rho_(L))/(1 + gamma_(1)DeltaT)]`
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