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Wave Equation of EM Waves

A black body ...

Question

A black body radiates energy at the rate of $E$ watt per metr $e^{2}$ at a high ternperature $T$ K. when the temperature is reduced to $(T / 2)$ K, the radiant energy will be

E / 16

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E / 4

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E / 2

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2 E

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Solution

The correct option is A $E / 16$
By Stefan-Boltzmann law black body radiation of energy $E$ is directly proportional to fourth power of $T$ temperature of the black body.
$E \propto T^{4}$
If the temperature of the body is reduced to $\frac{T}{2}$ , the energy of radiation will be $\frac{E}{16}$
option (A) is the correct answer.

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A black body radiates energy at the rate of E watt per metre2 at a high ternperature T K. when the temperature is reduced to (T/2) K, the radiant energy will be

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