All Problems

Thermal Radiation. Quantum Nature of Light.

Problem 5.247

The temperature of one of the two heated black bodies is \(T_{1}=2500 \mathrm{~K}\). Find the temperature of the other body if the wavelength corresponding to its maximum emissive capacity exceeds by \(\Delta \lambda=0.50 \mu \mathrm{m}\) the wavelength corresponding to the maximum emissive capacity of the first black body

Reveal Answer
T2=bT1/(b+T1Δλ)=1.75kKT_{2}=b T_{1} /\left(b+T_{1} \Delta \lambda\right)=1.75 \mathrm{kK}