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Chapter 38: Q30P (page 1182)

What is the maximum wavelength shift for a Compton collision between a photon and a free photon?

Short Answer

Expert verified

2.64 fm

Step by step solution

01

Identification of the given data

The given data is listed below as-

There is a collision between a photon and a free photon.

02

Significance of the momentum of a photon

The momentum of a photon is related to its energy and is given by-

p=Ec

Here, E is the rest energy of a photon which is given by E=mec2.

me is the mass of electron and c is the speed of light.

03

To find the magnitude of maximum wavelength

The equation for wavelength is given by-

Δλmax=hcmpc21-cosϕ

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Most popular questions from this chapter

Show that when a photon of energy Eis scattered from a free electron at rest, the maximum kinetic energy of the recoiling electron is given by

E=E2E+mc2/2

Gamma rays of photon energy 0.511 MeV are directed vonto an aluminium target and are scattered in various directions by loosely bound electrons there.

(a) What is the wavelength of the incident gamma rays?

(b) What is the wavelength of gamma rays scattered at 90∘to the incident beam?

(c) What is the photon energy of the rays scattered in this direction?

Calculate the de Broglie wavelength of (a) a 1.00keV electron, (b) a1.00keV photon, and (c) a1.00keVneutron.

The stopping potential for electrons emitted from a surface illuminated by light of wavelength 491 nm is 0.710V. When the incident wavelength is changed to a new value, the stopping potential is 1.43 V. (a) What is this new wavelength (b) What is the work function for the surface?

Compton scattering. Figure 38-22 gives the Compton shift versus scattering angleϕ for three different stationary target particles. Rank the particles according to their mass, greatest first.
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