compton effect

Question

Compton shift increases with scattering angle reaching maximum at:

RankGuru · Accepted Answer

The Compton wavelength shift ($\Delta \lambda$) is given by:
$\Delta \lambda = \lambda' - \lambda = \frac{h}{m_e c} (1 - \cos 	heta)$
where $	heta$ is the scattering angle.
- At $	heta = 0^\circ$: $\cos 0^\circ = 1 \implies \Delta \lambda = 0$.
- At $	heta = 90^\circ$: $\cos 90^\circ = 0 \implies \Delta \lambda = \frac{h}{m_e c}$ (Compton Wavelength).
- At $	heta = 180^\circ$: $\cos 180^\circ = -1 \implies \Delta \lambda = \frac{2h}{m_e c}$.
This is the **maximum possible shift**, occurring when the photon is back-scattered.

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