A sphere of diameter `8cm` and mass `275g` floats in a bath of liquid. As the temperature is raised, the sphere begins to sink at a temperature of `40^(0)C`. If the density of the liquid is `1.5g//cm^(3)` at `0^(0)C`, find the coefficient of cubical expansion of the liquid. Neglect the expansion of the sphere

Options

A. `12 xx 10^(-4 //^(0))C`
B. `25 xx 10^(-4 //^(0))C`
C. `15 xx 10^(-4 //^(0))C`
D. `115 xx 10^(-4 //^(0))C`

Answer

A

Explanation

`gamma = (d_(0) - d_(t))/(d_(t) xx t),d_(t) = (m)/(V)`