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. `15.6xx10^(-4)//^(@)C`
B. `156xx10^(-4)//^(@)C`
C. `1.56xx10^(-4)//^(@)C`
D. `0.156xx10^(-4)//^(@)C`

Answer

A

Explanation

Cofficeent of real expansion
`gamma_(R)=(V_(2)-V_(1))/(V_(1)(t_(2)-t_(1)))`
Here, `V_(2)=3/4'V_(1)=2/3`
and `(t_(2)-t_(1))=(100-20)=80^(@)C`
`gamma_(R)=(((3)/(4)-(2)/(3)))/(2/3(80))=1/640=15.6xx10^(-4)""^(@)C^(-1)`