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Questions  

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
b
Q/4πR2σ−1/2
c
4πR2Q/σ1/4
d
Q/4πR2σ1/4

detailed solution

Correct option is D

From Stefan' law,  E=σT4So, the rate of energy production, Q=E×A⇒Q=σT4×4πR2Temperature of star,   T=Q4πR2σ1/4

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