In the theory of black-body radiation, the following equation x = 5(1 e x ) needs to

In the theory of black-body radiation, the following equation

x = 5(1 ˆ’ e^ˆ’x)

needs to be solved to find the wavelength of maximum spectral radiant emittance. The variable x is

where λ_max is the wavelength of maximum spectral radiant emittance, h is Planck€™s constant, c is the speed of light, k_B is Boltzmann€™s constant, and T is the absolute temperature. Solve the equation numerically for a value of x. Find the value of λ_max for T = 6600 K. In what region of the electromagnetic spectrum does this value lie?

Transcribed Image Text:

hc х %— х КвТ Amax