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16 July, 09:06

What potential increase vac must an electron be accelerated through if the most energetic photon it can emit will scatter off of a stationary electron at an angle ϕ=60∘ with wavelength 8.4*10-12m? express your answer in kilovolts to two significant digits?

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  1. 16 July, 10:29
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    Referring to Compton scattering

    Δλ = h/m₀c (I - cos Ф)

    λ' = λ = (0,0242*10⁻¹⁰) (1 - cos 60°)

    λ = λ' - (0.0242 * 10⁻¹⁰) (1 - cos 60°)

    7.19 ˣ 10⁻¹²m

    The increased potential is given by

    Vₐc = hc/eλ = 6.625 * 10 ⁻³⁴ J, s) (3 * 10⁸ m/s (1.6 ˣ 10 ⁻¹⁰C)

    (7.19 ˣ 10⁻¹²m)

    173kV.
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