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Q.

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

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a

$T_{1} < T_{2}$

b

$T_{1} = T_{2}$

c

$T_{1} > T_{2}$

d

Nothing can be said.

answer is C.

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Detailed 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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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 TA TA <<T0 After time t, the temperature of solid sphere becomes T1 and that of hollow sphere becomes T2. Then