# Worksheet: The Compton Effect and Photon Momentum

In this worksheet, we will practice describing free electron scattering in the Compton effect and calculating photon momentum and radiation pressure.

Q1:

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

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?

• A
• B
• C
• D
• E

Q3:

What is the momentum of a 600 nm wavelength photon?

• A kg⋅m/s
• B kg⋅m/s
• C kg⋅m/s
• D kg⋅m/s
• E kg⋅m/s

Q4:

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

• A kg⋅m/s to kg⋅m/s
• B kg⋅m/s to kg⋅m/s
• C kg⋅m/s to kg⋅m/s
• D kg⋅m/s to kg⋅m/s
• E kg⋅m/s to kg⋅m/s

Q5:

Find the wavelength of a photon with a momentum of kg⋅m/s.

Q6:

Find the energy of a photon with momentum kg⋅m/s.

• A J
• B J
• C J
• D J
• E J

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.

• A kg⋅m/s
• B kg⋅m/s
• C kg⋅m/s
• D kg⋅m/s
• E kg⋅m/s

Find the velocity of the electron.

Find the kinetic energy of the electron.

• A J
• B J
• C J
• D J
• E J

Q8:

X-rays of wavelength 9.00 nm are scattered from a block of carbon at angles of , , and .

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

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

What wavelength do the scattered photons have for a 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 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 . What is the energy acquired by the electron in the collision?