# Through what angle must a 0.2 MeV photon be scattered by a free electron in order for it to lose 10% of its energy?

Through what angle must a 0.2 MeV photon be scattered by a free electron in order for it to lose 10% of its energy?
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

na1p1a2pafr
The fractional change in energy of a photon in Compton effect,
Energy of the photon,
Energy lost, $\mathrm{△}E=10\mathrm{%}$ of its original energy
$\mathrm{△}E=10\mathrm{%}E$
rest mass of the electron,
$\theta =$ angle of scattering of the electron
$\frac{\mathrm{△}E}{E}=\frac{10}{100}=0.1$
using the formula, we get

therefore the angle of scattering, $\theta ={41.88}^{\circ }$
Answer: required angle of scattering, $\theta ={41.88}^{\circ }$