Two spheres A and B have diameters in the ratio 1 : 2 , densities in the ratio 2 : 1 and specific heat capacities in the ratio 1 : 3 . The ratio of their thermal capacities is

Question

Two spheres A and B have diameters in the ratio 1 : 2 , densities in the ratio 2 : 1 and specific heat capacities in the ratio 1 : 3 . The ratio of their thermal capacities is, 1 : 6, 1 : 12, 1 : 3, 1 : 4

MARKS App · Accepted Answer

H 1 H 2 = m 1 C 1 m 2 C 2 = 4 3 π r 1 3 . ρ 1 . C 1 4 3 π r 2 3 . ρ 2 . C 2 = r 1 3 r 2 3 × ρ 1 ρ 2 × C 1 C 2 = ( 1 2 ) 3 × ( 2 1 ) × ( 1 3 ) = 1 12

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