The earth receives at its surface radiation from the sun at the rate of `1400 Wm^-2.` The distance of the centre of the sun from the surface of the earth is `1.5xx10^11 m` and the radius of the sun is `7xx10^8m.` Treating the sun as a black body, it follows from the above data that its surface temperature is ......K

Answer

`5803`

Explanation

Given
`((sigmaT^(4))(4piR^(2)))/((4pir^(2))) =1400`
`T = ((1400 xx r^(2))/(sigma R^(2)))^(1//4)`
`[(1400xx(1.5xx10^(11))^(2))/((5.67xx10^(-8))xx(7xx10^(8))^(2))]^(1//4) = 5803 K`