Chapter 10, Problem 12P

Plank’s distribution law gives the black-body emissive power (amount of radiation energy emitted) as a function of temperature and wavelength:

$E=\frac{C_1}{{\lambda }^5\left[e^{C_2/\lambda T}-1\right]}$

$\left(\frac{W}{m^2\mu m}\right)$

where $C_1=3.742\times {10}^8$

$W\mu m^4/m^2$,

$C_2=1.439\times {10}^4$ µmK, T is the temperature in degrees K, and ? is the wavelength in µm. Make a 3-D plot (shown in the figure) of E as a function of ? ( $0.1\le \lambda \le 10$ µm) and T for $100\le T\le 2000$ K. Use a logarithmic scale for ?. This can be done with the command: set (gca, ‘xscale’, ‘log’).