Question

If ${\lambda }_m$ denotes the wavelength at which the radioactive emission from a black body at a temperature T K is maximum, then:

• A. $\lambda$ is independent of T
• B. ${\lambda }_m\propto T$
• C. ${\lambda }_m\propto T^{-1}$
• D. ${\lambda }_m\propto T^{-4}$

Answer 1

The correct option is C ${\lambda }_m\propto T^{-1}$

By Wien's law
${\lambda }_m=\frac{b}{T}$

Here, 'b' is constant

or ${\lambda }_m\propto T^{-1}$