Q: When a block of iron floats in mercury at 0°C, fraction k1 of its volume is submerged, while at the temperature 60°C, a fraction k2 is seen to be submerged. If the coefficient of volume expansion of iron is γFe and that of mercury is γHg, then the ratio k1/k2 can be expressed as
(a) $\large \frac{1 + 60 \gamma_{Fe}}{1 + 60 \gamma_{Hg}} $
(b) $\large \frac{1 – 60 \gamma_{Fe}}{1 + 60 \gamma_{Hg}} $
(c) $\large \frac{1 + 60 \gamma_{Fe}}{1 – 60 \gamma_{Hg}} $
(d) $\large \frac{1 + 60 \gamma_{Hg}}{1 + 60 \gamma_{Fe}} $
Ans: (a)