Question

For an enclosure maintained at $2000K$, the maximum radiation occurs at wavelength ${\lambda }_m$. If the temperature is raised to $3000K$, the peak will shift to

• A. $0.5{\lambda }_m$
• B. ${\lambda }_m$
• C. $\frac{2}{3}{\lambda }_m$
• D. $\frac{3}{2}{\lambda }_m$

Answer 1

Answer: (C)

$\frac{2}{3}{\lambda }_m$

Using Wien's displacement law:
$\frac{{\lambda }_2}{{\lambda }_1}=\frac{T_1}{T_2}$
${\lambda }_2=\frac{2}{3}{\lambda }_{max}$