Physics

Physics

Problem

State the experimentally observed relationship between the change in wavelength Δλ\Delta\lambda of an X-ray photon and the scattering angle θ\theta after the photon collides with a free electron at rest.
Intuitive explanation

This is the Compton effect—a collision between a photon and a stationary electron where the photon loses energy and its wavelength increases. The key insight is that you can treat this as an elastic collision problem: apply conservation of momentum and energy to find how much the wavelength shifts based purely on the scattering angle θ\theta. The result reveals that photons, like particles, carry momentum p=h/λp = h/\lambda.

Intuitive explanation

This is the Compton effect—a collision between a photon and a stationary electron where the photon loses energy and its wavelength increases. The key insight is that you can treat this as an elastic collision problem: apply conservation of momentum and energy to find how much the wavelength shifts based purely on the scattering angle θ\theta. The result reveals that photons, like particles, carry momentum p=h/λp = h/\lambda.

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