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

**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?