Question

The ratio of wavelength corresponding to maximum emission of radiation 1 : 195. The ratio of their temperature will be

• A. $(195{)}^2:1$
• B. $1:195$
• C. $(195{)}^4:1$
• D. $195:1$

Answer 1

The correct option is D $195:1$

Wien's displacement law states that the black body radiation for different temperatures peaks at a wavelength inversely proportional to the temperature.
In other words ${\lambda }_m\times T=b$
where ${\lambda }_m$ is maximum wavelength of the radiation, $T$ is the temperature and $b$ is Wien's displacement constant
then
$\frac{{{\lambda }_m}_1}{{{\lambda }_m}_2}=\frac{T_2}{T_1}$
$\frac{T_1}{T_2}=\frac{195}{1}$
option (D) is the correct answer.