Question 359: 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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