On making the temperature of an ideal black body three times, its maximum intensity of radiation will become

9 times

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27 times

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81 times

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243 times

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Solution

The correct option is D 81 times
According to Stefan's law, the ratio of energy emission is directly proportional to fourth power of temperature, by increasing temperature three times, the energy emitted will be 81 times of previous value.
From Stefan's Law law $\frac{Δ Q_{1}}{Δ Q_{1}} = \frac{T_{2}^{4}}{T_{1}^{4}}; T_{2} = 3 T_{1}; \Rightarrow \frac{Δ Q_{2}}{Δ Q_{1}} = 81$
Thus the correct answer is C.

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