AIPMT PRELIMS2012Physics-Thermodynamics
AIPMT PRELIMS 2012 Physics Black Body Radiation MCQ Question
Type: MCQ-numerical-Medium-Class 11
If the radius of a star is R and it acts as a black body, what would be the temperature of the star, in which the rate of energy production is Q?
A
(Q/4πR²σ)^(1/4)
B
Q/4πR²σ
C
(Q/4πR²σ)^(-1/2)
D
(4πR²Q/σ)^(1/4)
Correct Answer
Option A
Detailed Explanation
Using Stefan-Boltzmann law, Q = 4πR²σT⁴. Solving for T gives T = (Q/4πR²σ)^(1/4).
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