Question

Wein's displacement law states______

• A. ${\lambda }_{m}T=$ constant
• B. $\frac{{\lambda }_m}{T}=$ constant
• C. $\frac{T}{{\lambda }_m}=$ constant
• D. ${\lambda }_m+T=$ constant

Answer 1

Answer: (A)

According to Wien's displacement law, the wavelength $\left({\lambda }_m\right)$ corresponding to which the energy emitted by a black body maximum is inversely proportional to its absolute temperature $(T)$.
i.e., ${\lambda }_m\propto \frac{1}{T}$
$\Rightarrow {\lambda }_m=\frac{b}{T}$
[where, $b=$ Wien's constant]
${\lambda }_m\cdot T=b$