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The ratio of thermal capacities of two s...

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`

Text Solution

Verified by Experts

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`
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