A non-conducting body floats in a liquid at `20^(@)C`. with `2//3` of its volume immersed in the liquid When liquid temperature is increased to `100^(@)C, 3//4` of body volume is immersed in the liquid. Then the coefficient of real expansion of the liquid is... (neglecting the expansion of container of the liquid)

Options

A. `1.56 xx 10^(-4 //@)C`
B. `15.6 xx 10^(-4 //@)C`
C. `1.56 xx 10^(-5 //@)C`
D. `15.6 xx 10^(-5 //@)C`

Answer

B

Explanation

`V_(1) = 2V//3, V_(2) = 3V//4, gamma = (V_(2) - V_(1))/(V_(1)Deltat)`