 Solution

ID: past-exam-of-the-physics-1-paper-of-the-university-of-oxford/2022/7/a/solution

Align the spatial axes and make the origins coincide at

t = t^{'} = 0

+ v

along

x

x^{'} = γ (x - v t), t^{'} = γ (t - \frac{vx}{c ^{2}}), y^{'} = y, z^{'} = z, γ = \frac{1}{1 - v ^{2} / c ^{2}} .

The inverse Lorentz transformation follows by interchanging primed and unprimed coordinates and replacing

v

- v

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