6.3 The Compton Effect

X-ray photons scattering off electrons like billiard balls, with a wavelength shift set only by the scattering angle, not by the incident beam.

University Physics Volume 3, 6.3 The Compton Effect

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11 exercises

6.3 Exercise 1

An incident 71-pm X-ray is incident on a calcite target. Find the wavelength of the X-ray scattered at a $60 °$ angle. What is the smallest shift that can be expected in this experiment?

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6.3 Exercise 2

Discuss any similarities and differences between the photoelectric and the Compton effects.

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6.3 Exercise 4

Does changing the intensity of a monochromatic light beam affect the momentum of the individual photons in the beam? Does such a change affect the net momentum of the beam?

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6.3 Exercise 6

Is it possible in the Compton experiment to observe scattered X-rays that have a shorter wavelength than the incident X-ray radiation?

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6.3 Exercise 8

At what scattering angle is the wavelength shift in the Compton effect equal to the Compton wavelength?

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6.3 Exercise 10

What is the momentum of a 4-cm microwave photon?

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6.3 Exercise 12

What is the energy of a photon whose momentum is $3.0 \times 10^{−24} \text{kg} \cdot \text{m}/\text{s}$ ?

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6.3 Exercise 14

Find the momentum and energy of a 1.0-Å photon.

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6.3 Exercise 16

A $\gamma$ -ray photon has a momentum of $8.00 \times 10^{−21} \text{kg} \cdot \text{m}/\text{s} .$ Find its wavelength and energy.

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6.3 Exercise 18

Show that $p = h / \lambda$ and $E_{f} = h f$ are consistent with the relativistic formula $E^{2} = p^{2} c^{2} + m_{0}^{2} c^{2} .$

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6.3 Exercise 20

For collisions with free electrons, compare the Compton shift of a photon scattered as an angle of $30 °$ to that of a photon scattered at $45 ° .$

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