IB Physics HL E 2 9 Hl Compton Wavelength Shift Questions

Calculate HL Compton wavelength shifts, photon energies and scattering angles using the electron Compton-wavelength relation.

Exam points

apply Δλ=(h/(m_ec))(1−cosθ) to calculate Compton wavelength shifts or determine the scattering angle
calculate incident or scattered photon energy from wavelength and relate the energy change to electron recoil
interpret how scattering angle changes photon frequency, wavelength and energy using Compton-scattering data

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Study E.2.9 (HL)—Compton wavelength shift conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

[Maximum number: 3]

(a)

Show that the energy of the scattered photon is about 0.17 MeV .

[ 1 ]

$E=<\frac{h c}{\lambda}=>\frac{1.24 \times 10^{-6}}{7.47 \times 10^{-12}}$ OR 0.166 MeV

(b)

For an electron, $\frac{h}{m_{\mathrm{e}} c}=2.43 \times 10^{-12} \mathrm{~m}$ . Determine $\theta$ .

[ 2 ]

$7.47 \times 10^{-12}-6.40 \times 10^{-12}=2.43 \times 10^{-12}(1-\cos \theta)^{}$

« $\cos \theta=0.5597$ so » $\theta=56.0^{\underline{\mathrm{o}}}$

Accept angle in radians ( 0.98 « rad »).

Award [2] if 56 « ${ }^{\circ}$ » or 0.98 « rad» are seen as the answer without working

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IB Physics HL E 2 9 Hl Compton Wavelength Shift Questions question 1

Question (a)

Question (b)