If _ m denotes the wavelength at which the radioactive emission f… - Vidyadip

MCQ

If $\lambda_{ m }$ denotes the wavelength at which the radioactive emission from a black body at a temperature $T \;K$ is maximum, then

A
$\lambda_{ m }$ is independent of $T$
B
$\lambda_{ m } \propto T$
C
$\lambda_{ m } \propto T ^{-4}$
✓
$\lambda_{ m } \propto T ^{-1}$

✓

Answer

Correct option: D.

$\lambda_{ m } \propto T ^{-1}$

d
By Wien's law

$\lambda_{ m }=\frac{ b }{ T }$

Here, ' $b$ ' is constant

$\text { or } \lambda_m \propto T^{-1}$

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