A non-conducting body floats in a liquid at $20^{\circ}C$ with $\large\frac{2}{3}$ of its volume immersed in the liquid. When liquid temperature is increased to $100^{\circ}C,\large\frac{3}{4}$ of body's volume is immersed in the liquid . Then the coefficient of real expansion of the liquid is (neglecting the expansion of the liquid):

Question

\[\begin {array} {1 1} (a)\;15.6 \times 10^{-4\; \circ}C^{-1} & \quad (b)\;156 \times 10^{-4\; \circ}C^{-1} \\ (c)\;1.56 \times 10^{-4\; \circ}C^{-1} & \quad (d)\;0.156 \times 10^{-4\; \circ}C^{-1} \end {array}\]