The ratio of coefficients of apparent expansions of the same liquid in two different vessels is `1:2`. If `alpha_(1)` and `alpha_(2)` are the coefficient of linear expansions then coefficient of real expansion of the liquid is

Options

A. `2alpha_(1) - alpha_(2)`
B. `3alpha_(1) - 4alpha_(2)`
C. `alpha_(1) - 2alpha_(1)`
D. `6alpha_(1) - 3alpha_(2)`

Answer

D

Explanation

`(gamma_(A))_(1)/(gamma_(A))_(2) = (1)/(2) , (1)/(2) = (gamma_(R) - 3alpha_(1))/(gamma_(R) - 3alpha_(2))`