A solid at temperature $T_{1}$ is kept in an evacuated chamer at temperature $T_{2} > T_{1}$ .The rate of increase of temperature of the body is proportional to

T_{2} - T_{1}

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T_{2}^{2} - T_{1}^{2}

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T_{2}^{3} - T_{1}^{3}

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T_{2}^{4} - T_{1}^{4}

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Solution

The correct option is D $T_{2}^{4} - T_{1}^{4}$
Since the chamber is evacuated, the only mode of heat transfer is radiation.
Radiation follows Stefan's Law, which states that rate of radiation is directly proportional to the difference of fourth power of temperature.
Hence, rate of increase of temperature of the body is directly proportional to $T_{2}^{4} - T_{1}^{4}$ .

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A solid at temperature T1 is kept in an evacuated chamer at temperature T2>T1 .The rate of increase of temperature of the body is proportional to

A solid at temperature $T_{1}$ is kept in an evacuated chamer at temperature $T_{2} > T_{1}$ .The rate of increase of temperature of the body is proportional to