The relation between the coefficient of real expansion (`gamma_r`) and coefficient of apparent expansion (`gamma_a`) of a liquid and the coefficient of lincar expansion (`alpha_g`) of the material of the container is

Options

A. `gamma_r=alpha_g + gamma_a`
B. `gamma_r=alpha_g + 3gamma_a`
C. `gamma_r=3alpha_g + gamma_a`
D. `gamma_r=3(alpha_g + gamma_a)`

Answer

C

Explanation

Cofficient of real expansion `gamma_(r)` = Cofficient of apparent expansion `gamma_(a)+` Cofficient of expansion of the container material `gamma_(g)`.
`therefore gamma_(r) = gamma_(a) + 3 alpha_(g)[because gamma=3alpha_(g) i.e., gamma_(g)=3alpha_(g)]`