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Question

Question: The ratio of thermal capacities of two spheres A and B, if their diameters are in the ratio 1 : 2, d...

The ratio of thermal capacities of two spheres A and B, if their diameters are in the ratio 1 : 2, densities in the ratio 2 : 1, and the specific heat in the ratio of 1 : 3, will be –

A

1 : 6

B

1 : 12

C

1 : 3

D

1 : 4

Answer

1 : 12

Explanation

Solution

H1H2\frac{H_{1}}{H_{2}}= m1s1m2s2\frac{m_{1}s_{1}}{m_{2}s_{2}}= ρ1V1s1ρ2V2s2\frac{\rho_{1}V_{1}s_{1}}{\rho_{2}V_{2}s_{2}}