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Thermal Radiation. Quantum Nature of Light.

Problem 5.283

A narrow monochromatic X-ray beam falls on a scattering substance. The wavelengths of radiation scattered at angles θ1=60∘\theta_{1}=60^{\circ} and θ2=120∘\theta_{2}=120^{\circ} differ by a factor η=2.0.\eta=2.0 . Assuming the free electrons to be responsible for the scattering, find the incident radiation wavelength.

Reveal Answer
λ=4πλC[sin⁡(θ2/2)−ηsin⁡(θ1/2)]/(η−1)=1.2pm\lambda=4 \pi \lambda_{C}\left[\sin \left(\theta_{2} / 2\right)-\eta \sin \left(\theta_{1} / 2\right)\right] /(\eta-1)=1.2 \mathrm{pm}
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