Physics

Problem

When a block of iron floats in mercury at

0^\circ \text{C}

, fraction

k_1

of its volume is submerged, while at the temperature

60^\circ \text{C}

, a fraction

k_2

is seen to be submerged. If the coefficient of volume expansion of iron is

\gamma_{\text{Fe}}

and that of mercury is

\gamma_{\text{Hg}}

, then the ratio

k_1/k_2

can be expressed as a.

\frac{1+60\gamma_{\text{Fe}}}{1+60\gamma_{\text{Hg}}}

\frac{1-60\gamma_{\text{Fe}}}{1+60\gamma_{\text{Hg}}}

\frac{1+60\gamma_{\text{Fe}}}{1-60\gamma_{\text{Hg}}}

\frac{1+60\gamma_{\text{Hg}}}{1+60\gamma_{\text{Fe}}}