The Planck formula for blackbody radiation is

**Equation 6.1.1. **

where *u(v, T)* is the energy density as a function of frequency *v* and temperature *T, k* is Boltzmann’s constant, *c* is the speed of light, and *h* is Planck’s constant. Obtain an expression for the energy density as a function of wavelength λ and temperature *T*. Also, plot this energy density for several temperatures. Then, derive Wien’s displacement law relating *T* and λ_{max}, the wavelength for which the energy density is maximal. Finally, use 5700 K as an estimate of the Sun’s surface temperature to determine λ_{max} for solar radiation. ...

Start Free Trial

No credit card required