# Worksheet: The Compton Effect and Photon Momentum

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 energy of a photon whose momentum is kg⋅m/s?

Q4:

What is the momentum of a 4.00-cm-wavelength photon?

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

Q5:

A photon has a 1.00-Å wavelength.

Find the photon’s momentum.

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

Find the photon’s energy.

Q6:

A -ray photon has a momentum of kg⋅m/s.

Find the photon’s wavelength.

Find the photon’s energy.

Q7:

During a time interval of 1.00 s, light with an intensity of 1.00 kW/m2 is incident on a mirror with an area of 2.00 m2 and is completely reflected.

What is the energy of the light reflected from the mirror?

How much momentum is imparted to the mirror?

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

How much force is exerted on the mirror?

• A N
• B N
• C N
• D N
• E N

Q8:

Radiation known as the solar wind is incident on the top of Earth’s atmosphere has with average intensity of 1.30 kW/m2. Suppose that you are building a solar sail that will use the radiation pressure of the solar wind to propel a small toy spaceship with a mass of 0.100 kg. The sail is made from a material, which perfectly reflects radiation of the solar wind. To assess whether such a project is feasible, answer the following questions, assuming that radiation photons are incident only in normal direction to the sail reflecting surface.

What is the radiation pressure of the solar wind on the solar sail?

• A N/m2
• B N/m2
• C N/m2
• D N/m2
• E N/m2

How much acceleration of the toy spaceship would the solar sail produce if the sail’s area is 10.0 m2?

• A m/s2
• B m/s2
• C m/s2
• D m/s2
• E m/s2

How much velocity increase of the toy spacecraft would the sail produce in one day’s acceleration? Consider one day as seconds.

Q9:

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

Q10:

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

Q11:

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

Q12:

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

• A J
• B J
• C J
• D J
• E J

Q13:

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

Q14:

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.