According to Wien's law, the wavelength λmax at which the thermal emission of electromagnetic energy from a body of temperature T is maximum obeys
λmaxT=2.898×10-3m2 • K
Show that this law follows from equation (9-47). To do this, use f= c/λ to reexpress (9-47) in terms of A rather than f, then obtain an expression that, when solved, would yield the wavelength at which this function is maximum. The transcendental equation cannot be solved exactly, so it is enough to show that λ = (2.898 × 10-3 m • K)/T solves it to a reasonable degree of precision.
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