Q.

Two sphere’s of radii in the ratio 1:2, have specific heats in the ratio 2:3. If their densities are in the ratio 3:4, find the ratio of their thermal capacities.

Moderate

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By Expert Faculty of Sri Chaitanya

16:1

1:16

4:3

3:4

answer is 2.

(Detailed Solution Below)

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Detailed Solution

ratio of radii isr1r2=12 ratio of specific capacities is S1S2=23 ratio of densities isρ1ρ2=34 thermal capacity = mass x specific heat =density x volume x specific heat ratio of thermal capacities is m1S1m2S2=ρ1ρ2×πr1πr23×S1S2 m1S1m2S2=34×18×23=116 m1S1:m2S2=1:16=ratio of thermal capacities

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