The coefficient of apparent expansion of a liquid when determined using two different vessle A and B are `gamma_(1)` and `gamma_(2,)` respectily. If the coefficient of linerar expansion of vesel A is `alpha.` Find the coefficient of linear expension of the vessel B.

Options

A. `(alpha_(1)gamma_(1)gamma_(2))/(gamma_(1)+ gamma_(2))`
B. `(gamma_(1)-gamma_(2))/(2alpha_(1))`
C. `(gamma_(1) + gamma_(2) + alpha)/(3)`
D. `(gamma_(1) - gamma_(2) + 3alpha_(1))/(3)`

Answer

D

Explanation

`gamma_(r) = gamma_(1) + 3 alpha_(1) = gamma_(2) + 3 alpha_(2) implies alpha_(2) = (gamma_(1) - gamma_(2) + 3alpha_(1))/(3)`