A non-conducting body floats in a liquid at `20^@C` with `2/3` of its volume immersed in the liquid. when liquid temperature increased to`100^@c`, `3/4` of body's volume 3. 4 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. `15.6xx10^-4 ""^@ c^-1`
B. `156 xx 10^-4 ""^@ c^-1`
C. `1.56xx 10^-4 ""^@ c^-1`
D. `0.156 xx 10^-4 ""^@ c^-1`

Answer

A

Explanation

Cofficient of real expansion,
`gamma_(r)=(V_(2)-V_(1))/(V_(1)(t_(2)-t_(1)))`
`=1.562xx10^(-3)`
`=15.62xx10^(-4)//^@C.`