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Question: The densities of two materials X and Y are in the ratio 1 : 3. Their specific heats are in the ratio...

The densities of two materials X and Y are in the ratio 1 : 3. Their specific heats are in the ratio 3 : 1. If we take same volumes of the two substances, the ratio of their thermal capacities will be :

A

1 : 1

B

1 : 3

C

1 : 6

D

1 : 9

Answer

1 : 1

Explanation

Solution

C1C2\frac{C_{1}}{C_{2}} = P1Vs1P2Vs2\frac{P_{1}Vs_{1}}{P_{2}Vs_{2}} = 13×31\frac{1}{3} \times \frac{3}{1} = 1 : 1