Question 381: Properties of Matter

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?

Accepted Answer

StefanÃ¢ÂÂs law for black body radiation
$Q = \sigma eA{T^4}$
$ 	herefore T = {\left[ {{Q \over {\sigma \left( {4\pi {R^2}} ight)}}} ight]^{1/4}}$

Answer

${Q \over {4\pi {R^2}\sigma }}$

Answer

${\left( {{Q \over {4\pi {R^2}\sigma }}} \right)^{ - 1/2}}$

Answer

${\left( {{{4\pi {R^2}Q} \over \sigma }} \right)^{1/4}}$

Answer

${\left( {{Q \over {4\pi {R^2}\sigma }}} \right)^{1/4}}$

Properties of Matter

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?

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