Question

Two spheres of radii in the ratio 1:2, have specific heats in the ratio 2:3. The densities are in the ratio 3:4. Find the ratio of their thermal capacities

Answer 1

Answer Text

Solution :

Thermal capacity of a body =mS

The ratio of thermal capacities

m1S1m2S2=V1ρ1S1V2ρ2S2=43πr31ρ1S143πr32ρ2S2=(r1r2)3(ρ1ρ2)(S1S2)

Here, r1r2=12,S1S2=23,ρ1ρ2=34

The ratio of thermal capacities

=(12)3(34)(23)=116.