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Question: The ratio of densities of two substance is 2 : 3 and their specific heats are in the ratio 3 : 4. Th...

The ratio of densities of two substance is 2 : 3 and their specific heats are in the ratio 3 : 4. The ratio of their thermal capacities for unit volume is –

A

1 : 1

B

1 : 2

C

2 : 1

D

8 : 9

Answer

1 : 2

Explanation

Solution

c1c2\frac{c_{1}}{c_{2}}= m1S1m2S2\frac{m_{1}S_{1}}{m_{2}S_{2}} = p1vS1p2vS2\frac{p_{1}vS_{1}}{p_{2}vS_{2}} = 23\frac{2}{3} × 34\frac{3}{4} = 12\frac{1}{2}