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Mechanical Properties Of Fluids

Question
CBSEENPH11019381

The coefficient of apparent expansion of a liquid in a copper vessel is C and in silver vessel is S. The coefficient of linear expansion of copper is A. Find the coefficient of linear expansion of silver.

Solution
Let γ be the coefficient of volume of expansion of liquid and B be the coefficient of linear expansion of silver.
Therefore, the coefficient of apparent expansion of a liquid in a copper vessel is C, given by 
                  straight C equals 3 straight A minus straight gamma                            ...(1) 
The coefficient of apparent expansion of a liquid in  a silver vessel is, 
                   straight S equals 3 straight B minus straight gamma                             ...(2) 
From (1) and (2), 
 straight B equals fraction numerator straight S minus straight C plus 3 straight A over denominator 3 end fraction , is the required coefficient of linear expansion of silver.