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Two identical calorimeter A and B contain equal quantity of water at \( 20^{\circ} \mathrm{C} \). A 5 gm piece of metal \( \mathrm{X} \) of specific heat \( 0.2 \mathrm{cal} \mathrm{g}^{-1}\left(\mathrm{C}^{\circ}\right)^{-1} \) is dropped into \( \mathrm{A} \) and a \( 5 \mathrm{gm} \) piece of metal \( \mathrm{Y} \) into \( \mathrm{B} \). The equilibrium
\( \mathrm{P} \) temperature in \( \mathrm{A} \) is \( 22^{\circ} \mathrm{C} \) and in \( \mathrm{B} 23^{\circ} \mathrm{C} \). The initial temperature of both the metals is \( 40^{\circ} \mathrm{C} \). Find the specific heat of metal \( \mathrm{Y} \) in cal \( \mathrm{g}^{-1}\left(\mathrm{C}^{\circ}\right)^{-1} \).
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