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. $2v_0$
• B. $\frac{v_0}{2}$
• C. $16v_0$
• D. $8v_0$

Answer 1

The correct option is A $2v_0$

According to the Wien's displacement law
${\lambda }_1{T}_1={\lambda }_1{T}_2$
$\frac{c}{v_0}{T}_1=\frac{c}{v}\left(2T_1\right)$ or $v=2v_0$