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

Nayeli Osborne
2022-10-11
Answered

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

You can still ask an expert for help

elulamami

Answered 2022-10-12
Author has **22** answers

Calculation:

Write the expression for the change in wavelength of the Compton effect.

$\mathrm{\u25b3}\lambda =\frac{h}{{m}_{e}c}(1-\mathrm{cos}\theta )$

Here, $\mathrm{\u25b3}\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{\u25b3}\lambda $ in the above expression.

$0m=\frac{h}{{m}_{e}c}(1-\mathrm{cos}\theta )\phantom{\rule{0ex}{0ex}}1-\mathrm{cos}\theta =0\phantom{\rule{0ex}{0ex}}\theta ={\mathrm{cos}}^{-1}(1)\phantom{\rule{0ex}{0ex}}={0}^{\circ}$

Thus, the scattering angle is ${0}^{\circ}$

Write the expression for the change in wavelength of the Compton effect.

$\mathrm{\u25b3}\lambda =\frac{h}{{m}_{e}c}(1-\mathrm{cos}\theta )$

Here, $\mathrm{\u25b3}\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{\u25b3}\lambda $ in the above expression.

$0m=\frac{h}{{m}_{e}c}(1-\mathrm{cos}\theta )\phantom{\rule{0ex}{0ex}}1-\mathrm{cos}\theta =0\phantom{\rule{0ex}{0ex}}\theta ={\mathrm{cos}}^{-1}(1)\phantom{\rule{0ex}{0ex}}={0}^{\circ}$

Thus, the scattering angle is ${0}^{\circ}$

asked 2022-09-23

Suppose there is light of high enough frequency so it causes photoelectric effect (in a piece of metal). Does such light cause photoelectric effect on free electrons as well?

asked 2022-07-22

A beam of gamma-ray having a photon of energy 510 keV is incident on a foil of aluminum. Calculate the wavelength of the radiation scattered at 90 degrees

asked 2022-10-27

In terms of photon-electron interaction mechanisms, compare the photoelectric and Compton effects and define their energy and atomic number dependence at diagnostic x-ray energies.

asked 2022-11-18

Mention the change in wave length of the photon after it collides with free electron?? Is the rule of particle can be applied here?

asked 2022-09-01

What other shielding material than lead is effective against gamma rays?

asked 2022-08-20

Calculate the rate of energy loss by electron due to inverse Compton scattering by assuming the energy density of the photon with which the electrons are colliding $8.6\times {10}^{\circ}\text{}J/{m}^{\prime}$, speed parameter as 0.14, and Lorentz factor as 19.8.

asked 2022-10-14

I would like to know, please, regarding the photoelectric effect and the Compton effect, why is the following process dynamically impossible. I would like to know how to justify by words and also if there is some kind of mathematical demonstration.

$\gamma +{e}^{-}\to {e}^{-}$

$\gamma +{e}^{-}\to {e}^{-}$