Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Thermodynamics

Question:

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 ?

(σ stands for Stefan’s constant.)

Options:

\((4 \pi^2 Q/\sigma)^{1/4}\)

\((Q/\sigma 4 \pi^2 )^{1/4}\)

\(Q/\sigma 4 \pi^2 \)

\((Q/\sigma 4 \pi^2 )^{-1/2}\)

Correct Answer:

\((Q/\sigma 4 \pi^2 )^{1/4}\)

Explanation:

\(\frac{Q}{A} = \sigma T^4 \)

⇒ \( T = [\frac{Q}{4 \sigma \pi R^2}]^{1/4}\)