IB Physics HL A 5 10 Hl Time Dilation Questions

Practise IB Physics HL A.5.10 by identifying proper time, calculating time dilation and interpreting elapsed times measured in different inertial frames.

Exam points

identify which measured interval is the proper time in the frame where the two events occur at the same position
calculate γ and use Δt = γΔt₀ to find the elapsed time measured by an observer for a moving clock, particle lifetime or periodic process
explain or interpret different elapsed times between observers using time dilation, including light-clock, muon-lifetime or twin-paradox evidence and the relevant inertial-frame conditions

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Study A.5.10 (HL)—Time dilation conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

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An observer P sitting in a train moving at a speed v measures that his journey takes a time $\Delta t_{\mathrm{p}}$ . An observer Q at rest with respect to the ground measures that the journey takes a time $\Delta t_{\mathrm{Q}}$ .

Calculate the speed v of the train for the ratio $\frac{\Delta t_{P}}{\Delta t_{Q}}=0.30$ .

$\gamma=\frac{\Delta t_Q}{\Delta t_P}=\frac{1}{0.30}=3.3$ v=0.95 c

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IB Physics HL A 5 10 Hl Time Dilation Questions question 1