Two spheres A and B have radius but the heat capacity of A is greater than that of B. The surfaces of both are painted black. They are heated to the same temperature and allowed to cool. Then initially

Options

A. A cools faster than B
B. both A and B cool at the same rate
C. at any temperature the ratio of their rates of cooling is a constant
D. B cools faster than A

Answer

D

Explanation

`(dT)/(dt)=(sigmae A (T^(4)-T_0^4))/(ms)`
`S_A gt S_B` [ Other parameter are same ]
So `((dT)/(dt))_A lt ((dT)/(dt))_B`