Lesson: The Compton Effect and Photon Momentum

In this lesson, we will learn how to describe free electron scattering in the Compton effect and how to calculate photon momentum and radiation pressure.

Sample Question Videos

  • 02:30

Worksheet: The Compton Effect and Photon Momentum • 10 Questions • 1 Video

Q1:

Find the ratio of the Compton shift of a photon scattered from a free electron at a scattering angle of 3 0 . 0 0 to that of a photon scattered at an angle of 4 5 . 0 0 .

Q2:

What is the ratio of the wavelength shift of a photon scattered by a free electron to that of a photon scattered at the same angle by a free proton?

Q3:

What is the momentum of a 600 nm wavelength photon?

Q4:

In a beam of white light (wavelengths from 390 to 770 nm), what range of momentum can the photons have?

Q5:

Find the wavelength of a photon with a momentum of 3 . 6 5 × 1 0 2 9 kg⋅m/s.

Q6:

Find the energy of a photon with momentum 4 . 0 2 × 1 0 2 9 kg⋅m/s.

Q7:

A photon has a wavelength of 3.10 μm and an electron has the same momentum as this photon.

Calculate the momentum of the photon.

Find the velocity of the electron.

Find the kinetic energy of the electron.

Q8:

X-rays of wavelength 9.00 nm are scattered from a block of carbon at angles of 3 0 . 0 , 9 0 . 0 , and 1 8 0 .

What wavelength do the scattered photons have for a 3 0 . 0 angle of scattering? Write your answer to six significant figures.

What wavelength do the scattered photons have for a 9 0 . 0 angle of scattering? Write your answer to six significant figures.

What wavelength do the scattered photons have for a 1 8 0 angle of scattering? Write your answer to six significant figures.

Q9:

A spectrometer with a 2.00 μm wide circular opening is used to measure the wavelengths of the scattered X-rays in the Compton experiment. The width measurement is accurate to 4 . 9 9 × 1 0 4 nm. What is the minimum scattering angle at which the X-rays interacting with the free electrons can be distinguished from those interacting with the atoms?

Q10:

A photon of energy 4.98 keV collides with a stationary electron and is scattered at an angle of 5 8 . What is the energy acquired by the electron in the collision?

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