IB Physics HL A 5 6 Hl Lorentz Transformations Questions

Practise IB Physics HL A.5.6 by transforming event coordinates between inertial frames and comparing the resulting positions, times and simultaneity.

Exam points

Apply Lorentz transformations to relate space and time coordinates between inertial frames.
Use γ and relative velocity to calculate transformed intervals or coordinates using complete evidence.

[Maximum number: 1]

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 $\Delta t_{\mathrm{Q}}$ .

According to Q there is an instant at which the train is completely within the tunnel. At that instant two lights at the front and the back of the train are turned on simultaneously according to Q .

Figure for Question IB Physics HL A 5 6 Hl Lorentz Transformations Questions question 1 — IB Physics HL

The spacetime diagram according to observer Q shows event B (back light turns on) and event F (front light turns on).

Apply a Lorentz transformation to show that the time difference between events B and F according to observer P is $2.5 \times 10^{-7} \mathrm{~s}$ .

$\Delta t^{\prime}=1.25\times\frac{0.6\times100}{3\times10^{8}}=2.5\times10^{-7}\ \mathrm s$

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IB Physics HL A 5 6 Hl Lorentz Transformations Questions question 1