 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/6/a/solution

m_{π} c^{2} = 273 (0.51 MeV) = 139.23 MeV, γ = 1 + \frac{K}{m _{π} c ^{2}} = 1.71824.

Thus

v = c 1 - γ^{- 2} = 0.813 c ≃ 2.44 \times 1 0^{8} m s^{- 1} .

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