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If the radius of a star is R and it acts...

If the radius of a star is `R` and it acts as a black body, what would b the temperature of the star, in which the rate of energy production is `Q`?

A

`Q//4piR^2 sigma`

B

`(Q//4piR^2 sigma)^(-1//2)`

C

`(4piR_2 Q//sigma)^(1//4)`

D

`(Q//4piR^2 sigma)^(1//4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Rate of energy production `(Q)= sigma epsilon AT^4`
`implies T=[(Q)/(sigma(4piR^2))]^(1//4)`, `epsilon = 1 & A=4 pi R^2`
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