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Nuclear Fusion

A black body ...

Question

A black body radiates energy at the rate of E $W / m^{2}$ at a high temperature TK. When the temperature is reduced to $\frac{T}{2} K$ , the radiant energy will be

A

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B

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C

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D

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Solution

The correct option is A

$E \propto T^{4} \Rightarrow \frac{E_{1}}{E_{2}} = \frac{T^{4}}{T^{4}} \times 2^{4} \Rightarrow E_{2} = \frac{E}{16}$

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