In an anisotropic medium the coefficients of linear expansion of a solid are `alpha_(1)`, `alpha_(2)`, and `alpha_(3)`. In three mutually perpendicualr directions. Tjhe coefficient of volume expansion for the solid is

Options

A. `(alpha_x alpha_y alpha_z)^(1//3)`
B. `alpha_(x) + alpha_y + alpha_z`
C. `(alpha_(x)^(2) + alpha_(y)^(2) + alpha_(z)^(2))^(1//2)`
D. `(sqrt(alpha_x) + sqrt(alpha_y) + sqrt(alpha_z))^(2)`

Answer

B

Explanation

`alpha_(x) + alpha_y + alpha_z`