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Q. The ratio of the densities of the two bodies is 3: 4 and the ratio of specific heats is $4: 3 .$ The ratio of their thermal capacities for unit volume is

Thermal Properties of Matter

Solution:

Thermal capacities per unit volume $=\frac{m \cdot s}{V}$
$\left(\frac{m_{1} s_{1}}{V_{1}}\right) \div\left(\frac{m_{2} s_{2}}{V_{2}}\right)$
$=\frac{\rho_{1} s_{1}}{\rho_{2} s_{2}}=\left(\frac{3}{4}\right) \cdot\left(\frac{4}{3}\right)=1$