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?

Paloma Sanford 2022-10-23 Answered
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

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

na1p1a2pafr
Answered 2022-10-24 Author has 16 answers
The fractional change in energy of a photon in Compton effect,
Energy of the photon, h v = 0.2  MeV
Energy lost, E = 10 % of its original energy
E = 10 % E
rest mass of the electron, m 0 = 0.511  MeV/c 2
θ = angle of scattering of the electron
E E = 10 100 = 0.1
using the formula, we get
E E = h v m 0 c 2 ( 1 cos θ ) 0.1 = 0.2 ( 0.511  MeV/c 2 ) c 2 ( 1 cos θ ) 0.1 = 0.2 0.511 ( 1 cos θ ) 1 0.2555 = cos θ cos θ = 0.7445 θ = 41.88
therefore the angle of scattering, θ = 41.88
Answer: required angle of scattering, θ = 41.88
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2022-11-05
You use x-ray photons of wavelength 0.251 nm in a Compton-scattering experiment. At a scattering angle of 14.5 , what is the increase in the wavelength of the scattered x rays compared to the incident x rays? Express your results in nm.
asked 2022-11-06
Since germanium has the required energy of 0.72 eV. to brake an electron free, what if a photon has say, 100 eV? would the photon (if reflected by the germanium) lose only 0.72 eV each time it hits a germanium atom, or lose more eV?
asked 2022-09-25
Consider a flat, thin, perfectly reflective square mirror of mass m lying on edge on a frictionless, horizontal surface that is met by an electromagnetic wave with Poynting vector parallel to the normal to the square. Suppose the EM wave recoils from the square with the same outgoing momentum (and thus energy). That is, suppose the incoming wave has momentum p and recoils with momentum -p. To conserve momentum, the square recoils with momentum 2p, and thus has kinetic energy 2 p 2 m . Where did the kinetic energy of the square come from?
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 2022-07-17
A 100 MeV photon collides with a resting prion. Calculate the maximum energy loss that the photon can suffer.
asked 2022-09-27
In the Compton effect, what is the greatest change in wavelength that can occur?
asked 2022-11-11
Why in Compton effect an electron (which is very lightly bounded) can't absorb whole energy of incident photon but in photoelectric effect the electron absorb whole energy of the incident photon? In Compton effect the electron is not totally free, if it absorb whole energy then it does not violet the basic postulate of relativity. But in this case we consider the collision of incident photon with the free electron (though it is not completely free) is elastic. Why it is not consider here some energy (though small) loss to free the electron from the metal?

New questions