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Q.

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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a

3 : 2

b

4 : 1

c

2 : 9

d

4 : 9

answer is D.

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Detailed Solution

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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