Question

The ratio of thermal capacities of two spheres A and B, their diameters are in the ratio `1:2` densities in the ratio `2:1`, and the specific heat in the ratio of `1:3`, will be
A. `1:6`
B. `1:12`
C. `1:3`
D. `1:4`

Answer 1

b) `(m_(A)c_(A)/(m_(B)c_(B)` = `((4/3)pir_(A)^(3)rhoA^(C )A)/((4/3) pi r_(B)^(3)rho_(B)c_(B))` = `(r_(A)/r_(B))^(3)(rho_(A)C_(A))/(rho_(B)c_(B))`
`(m_(A)c_(A))/(m_(B)c_(B))` = `(1/2)^(3) xx 2/1 xx (1/3) = 1/12`