Q. The spectral energy distribution of a star is maximum at twice temperature as that of sun. the total energy radiated by star is
A) Twice as that of the sun
B) Same as that of the sun
C) Sixteen times as that of the sun
D) One-sixteenth of the sun
Explanation
(c) According to Stefan’s law
$\ E = \sigma T^{4}$
Where $\sigma$ is Stefan’s constant.
Given, $T = 2T_{s}$
$\therefore$ $E^{'} = \sigma\left( 2T_{s} \right)^{4} = 16\sigma T_{s}^{4} = 16E_{s}$
Hence, total energy radiated by star is sixteen times as that of the sun.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.