First slide

Radiation

Question

Two spheres, one solid and another hollow are made up of same material and are of some radius. Both the spheres are heated to same temperature To. Now both spheres are left to cool in an atmosphere having temperature $T_{A} (T_{A} < < T_{0})$ After time t, the temperature of solid sphere becomes $T_{1}$ and that of hollow sphere becomes $T_{2} .$ Then

Easy

A

$T_{1} < T_{2}$
B

$T_{1} = T_{2}$
C

$T_{1} > T_{2}$
D

Nothing can be said.

Solution

(3)
As the mass of solid sphere is more than hollow sphere and
$\frac{d T}{d t} \propto \frac{1}{m}, h e n c e T_{1} > T_{2}$

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