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If two substances have specific heats in the ratio $2 : 3$ and densities in the ratio $6 : 5$ , their thermal capacities per unit volume are in the ratio of

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4 : 5

5 : 4

5 : 9

9 : 5

answer is A.

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Detailed Solution

S_{1} : S_{2} = 2 : 3, ρ_{1} : ρ_{2} = 6 : 5, H_{1} : H_{2} = ?

$H = ms = ρ vs = ρ s [∵ V = 1]$

$\frac{H_{1}}{H_{2}} = \frac{ρ_{1} S_{1}}{ρ_{2} S_{2}} = \frac{6 \times 2}{5 \times 3} = \frac{4}{5}$

$∴ H_{1} : H_{2} = 4 : 5$

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