 Solution

ID: past-exam-of-the-physics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2013/paper-1/section-a/1/b/solution

p = h / λ

, but the nonrelativistic electron has

K = p^{2} / (2 m_{e})

K_{e} = \frac{h ^{2}}{2 m _{e} λ ^{2}} = 6.02 \times 1 0^{2} eV .

Here

K_{e} / (m_{e} c^{2}) ≃ 0.00118

, consistent with the stated nonrelativistic approximation. The photon energy and electron kinetic energy are not interchangeable.

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