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

Two sphere of radii in the ratio `1 : 2`, have specific heats in the r

1.	Two sphere of radii in the ratio `1 : 2`, have specific heats in the ration `2 : 3`. The densities are in the ratio `3 : 4`. Find the ration of their thermal capacities.
Answer» Thermal capacity of a body `= mS` The ratio of thermal capacities `(m_(1)S_(1))/(m_(2)S_(2)) = (V_(1)rho_(1)S_(1))/(V_(2)rho_(2)S_(2)) = ((4)/(3)pi r_(1)^(3) rho_(1)S_(1))/((4)/(3) pi r_(2)^(3) rho_(2) S_(2)) = ((r_(1))/(r_(2)))^(3) ((rho_(1))/(rho_(2))) ((S_(1))/(S_(2)))` Here, `(r_(1))/(r_(2)) = (1)/(2) ,(S_(1))/(S_(2)) = (2)/(3) , (rho_(1))/(rho_(2)) =(3)/(4)` The ratio of thermal capacities =`((1)/(2))^(3) ((3)/(4))((2)/(3)) =(1)/(16)`.

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

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