[QUE/SM-08001] SM-PROBLEM

For a black body of temperature \(T\), Planck's law can be used to show that the
wavelength for which the emissivity \(e(\lambda, T)\)
is maximum is given by
\[ \beta h c = 4.965 \lambda_\text{max}\]
Solar radiation has a maximum intensity near
\(\lambda = 5\times 10^{-5}\)cm. Assume
that the the sun's surface is in thermal equilibrium. Solve the above
equation numerically and determine its temperature.