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Time Period of Pendulum

A heated body...

Question

A heated body emits radiation which has maximum intensity near the frequency $v_{0}$ . The emissivity of the material is $0.5$ . If the absolute temperature of the body is doubled, the maximum intensity of radiation will be near the frequency

A

2 v_{0}

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B

\frac{v_{0}}{2}

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C

16 v_{0}

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D

8 v_{0}

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Solution

The correct option is A $2 v_{0}$
According to the Wien's displacement law
$λ_{1} T_{1} = λ_{1} T_{2}$
$\frac{c}{v_{0}} T_{1} = \frac{c}{v} (2 T_{1})$ or $v = 2 v_{0}$

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