Q. The wavelength of maximum energy, released during an atomic explosion was $2.93 \times 10^{- 10}m$. Given that the Wien’s constant is $2.93 \times 10^{- 3}\ m - K$, the maximum temperature attained must be of the order of

A) $10^{- 7}\ K$
B) $10^{7}$ K
C) $10^{- 3}$ K
D) $5.86 \times 10^{7}$ K
Explanation

(b) Wien’s displacement law is given by
$\lambda_{m}T = constant$ (say $b$)
Given, b=Wien’s constant=$2.93 \times 10^{- 3}\ m - K$
$\lambda_{m} = 2.93 \times 10^{- 10}m$
Substituting the values, we obtain
$T = \frac{b}{\lambda_{m}}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \frac{2.93 \times 10^{- 3}}{2.93 \times 10^{- 10}} = 10^{7}\ K$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.