# What scattering angle in the Compton Effect produces a maximum change in frequency?

What scattering angle in the Compton Effect produces a maximum change in frequency?
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elulamami
Calculation:
Write the expression for the change in wavelength of the Compton effect.
$\mathrm{△}\lambda =\frac{h}{{m}_{e}c}\left(1-\mathrm{cos}\theta \right)$
Here, $\mathrm{△}\lambda$ is the change in waveleght, h is Plak's constant, me is mass of the electron and $\theta$ is scattering angle.
For the maximum change in frequency, the change in wavelength will be zero.
Substitute, 0 m for $\mathrm{△}\lambda$ in the above expression.
$0m=\frac{h}{{m}_{e}c}\left(1-\mathrm{cos}\theta \right)\phantom{\rule{0ex}{0ex}}1-\mathrm{cos}\theta =0\phantom{\rule{0ex}{0ex}}\theta ={\mathrm{cos}}^{-1}\left(1\right)\phantom{\rule{0ex}{0ex}}={0}^{\circ }$
Thus, the scattering angle is ${0}^{\circ }$