The Planck blackbody spectrum is given by
Show that the peak of the Planck spectrum for a blackbody at a temperature T occurs at the wavelength
where T is in Kelvin and λmax is in cm.
The Attempt at a Solution
So using the equation above I get down to:
This is a transcendental equation. I said:
I've tried using the bisection method to solve but my answer doesn't match up with what it should as from the Wien Displacement Law it should be 0.29 for λ in cm. If anyone could help explain the solving for x, I would greatly appreciate it.