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IB Physics HL A 5 11 Hl Length Contraction Questions

Practise IB Physics HL A.5.11 by identifying proper length, calculating contraction parallel to motion and comparing the measurements of inertial observers.

Syllabus
First assessment 2025
Course
Physics HL
Level
HL

Exam points

  • Apply length contraction L = L₀/γ along the direction of motion.
  • Calculate proper length, observed length, speed or Lorentz factor using complete mark-scheme evidence.

IB Physics HL A 5 11 Hl Length Contraction Questions question 1

[Maximum number: 2]

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

Later the train is travelling at a speed of 0.60 c . Observer P measures the length of the train to be 125 m . The train enters a tunnel of length 100 m according to observer Q .

Show that the length of the train according to observer Q is 100 m .

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