Time dilation (AQA A-Level Physics): Flashcards

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Time dilation
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Time dilation definition

Time runs at different rates in different reference frames

Frames where time dilation occurs

Inertial frames (constant velocity)

Proper time (t0t_0)

Time experienced by stationary observer

Dilated time (tt)

Time experienced by external observer (longer than proper time)

Time dilation formula

t=t01−v2c2t = \frac{t_0}{\sqrt{1 - \frac{v^2}{c^2}}}

Proper time compared to dilated time

Always less than dilated time

Earth time for Lucy's 1 hr at 0.9c

Approximately 2.3 hours

Experimental evidence for time dilation

Muon decay

Muon speed in experiment (as fraction of cc)

0.996c0.996c

Muon half-life at rest

1.5 μs (or 1.5×10−61.5 \times 10^{-6} s)

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