IB Physics HL A.5.10 Time dilation Question Bank

Practise IB Physics HL A.5.10 by applying time dilation concepts to exam-style physics questions.

Exam points

identify the relevant physical quantity, model or diagram
apply the correct equation and units to the evidence
justify the result using conservation laws, forces or energy relationships

[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 $\frac{\Delta t_{P}}{\Delta t_{Q}}=0.30$ .

$\begin{aligned} \gamma=\frac{\Delta t_{Q}}{\Delta t_{P}}=<=\frac{1}{0.30}>=3.3 \text { to give } v=0.95 \mathrm{c} \end{aligned}$

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A.5.10 (HL)—Time dilation question 1