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


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