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 ?

Answer 1

Hey mate

Here's the answer

( A ) (Q4πR2σ)14

Hope this helps you

Answer 2

The temperature of the star is given as $(\frac{Q}{\sigma 4\pi R^2} )^\frac{1}{4}$.

Explanation:

To get the temperature of the star use Stefan's law,

$Q=\sigma AT^4$

Here, $\sigma$ is Stefan constant, A is the radiating area of the star , T is the temperature of the star.

Above equation can also write,

$T=(\frac{Q}{\sigma A} )^\frac{1}{4}$

As given radius of the star is R, so

$T=(\frac{Q}{\sigma 4\pi R^2} )^\frac{1}{4}$

Thus, the temperature of the star would be $(\frac{Q}{\sigma 4\pi R^2} )^\frac{1}{4}$.

#Learn More: Stefan's law,