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Question

The temperature of a black body is increased by 50%. The amount of radiation emitted by the body increases by :


A
50%
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B
100%
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C
225%
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D
406.25%
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Solution

The correct option is C 406.25%
Let the initial temperature be $${T}_{1}={100}$$ and final temperature increased by $${50}$$ then $${T}_{2}={150}$$
Now, amount of radiation emitted by body is given as: $$\dfrac { { T }_{ 2 }^{ 4 }-{ T }_{ 1 }^{ 4 } }{ { T }_{ 1 }^{ 4 } } \times 100=\dfrac { { 150 }^{ 4 }-{ 100 }^{ 4 } }{ { 100 }^{ 4 } } \times 100=406.25%$$

Physics

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