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

Apply time dilation Δt = γΔt₀ to relate proper and observed time intervals.
Calculate Lorentz factor, speed or dilated time and interpret observations using complete evidence.

[Maximum number: 2]

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