The coefficient of apparent expansion of a liquid in a copper vessel is C and in a silver vessel is S. The coefficient of volume expansion of copper is γᵥ. What is the coefficient of linear expansion of silver?
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Question

The coefficient of apparent expansion of a liquid in a copper vessel is C and in a silver vessel is S. The coefficient of volume expansion of copper is γᵥ. What is the coefficient of linear expansion of silver?

Options

G1 Physics · Accepted Answer

Let γₗ be the cubical expansion coefficient of the liquid and γᵥ that of copper. For the copper vessel, C=γₗ−γᵥ. Combining this with the corresponding relation for the silver vessel gives αₛ=(C+S+γᵥ)/3. Therefore option C.