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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?

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2 : 3

1 : 2

1 : 1

2 : 7

answer is A.

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Detailed Solution

$\frac{ρ_{1}}{ρ_{2}} = \frac{3}{4}, \frac{s_{1}}{s_{2}} = \frac{4}{3}$

$θ = \frac{m \times s}{\frac{m}{ρ}} \Rightarrow \frac{θ_{1}}{θ_{2}} = \frac{s_{1}}{s_{2}} \times \frac{ρ_{1}}{ρ_{2}} = 1 : 1$

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