Question

The intensity distribution of solar radiation peaks at a wavelength of approximately 500 nm. Assuming the Sun radiates like a black body, calculate the flux of photons leaving the sun in W/m2.

Answer 1

As per wein's displacement law

$\lambda_m(\mu m)=\frac{2900}{T}$

$T=\frac{2900}{500\times 10 ^{-3} \mu m}=5800 K$

Now, we know that

Solar irradiation =$H= \sigma T^4= 5.67\times 10^{-12}\times (5800^4)$

H= 6416.45 $\frac{W}{m^2}$