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Questions  

Two spheres of radii in the two ratios 2 : 3 have specific heat in the ratio 3 : 2. What is the ratio of their thermal capacities?

a
3 : 2
b
4 : 1
c
2 : 9
d
4 : 9

detailed solution

Correct option is D

Thermal capacity is m.s=43πR3.sdwhere d is the density of the body. Thermal capacity of first sphereThermal capacity of second sphere=4πR13/3s1d4πR23/3s2d =R1R23s1s2 =23332=4:9

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Two spheres A and B have diameters in the ratio 1 : 2, densities in the ratio 2 : 1 and specific heats in the ratio 1 : 3; find the ratio of their thermal capacities


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