The ratio of the densities of the two bodies is `3:4` and the ratio of specific heats is `4:3` Find the ratio of their thermal capacities for unit volume?

Explanation

To find the ratio of thermal capacities for unit volume of two bodies given the ratios of their densities and specific heats, we can follow these steps:

### Step 1: Understand the concept of thermal capacity per unit volume
Thermal capacity (C) is defined as the product of mass (m) and specific heat capacity (S). For unit volume, we can express thermal capacity per unit volume (C_v) as:
\[ C_v = \frac{C}{V} = \frac{m \cdot S}{V} \]
Where V is the volume. Since mass (m) can be expressed in terms of density (D) and volume (V) as \( m = D \cdot V \), we can rewrite:
\[ C_v = D \cdot S \]
Thus, the thermal capacity per unit volume is directly proportional to the density and specific heat capacity.
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