The wavelength of maximum intensity of radiation emitted by a star is $289.8 \,nm$. The radiation intensity for the star is : (Stefan’s constant $5.67 \times {10^{ - 8}}W{m^{ - 2}}{K^{ - 4}}$, constant $b = 2898\mu mK)$
Medium
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(a) We know ${\lambda _{\max }}T = b$
==> $T = \frac{b}{{{\lambda _{\max }}}} = \frac{{2898 \times {{10}^{ - 6}}}}{{289.8 \times {{10}^{ - 9}}}} = {10^4}K$
According to Stefan’s Law
$E = \sigma {T^4} = (5.67 \times {10^{ - 8}}){({10^4})^4}$$ = 5.67 \times {10^8}W/{m^2}$
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