IB Physics HL A 5 8 Hl Space Time Interval Questions

Practise IB Physics HL A.5.8 by calculating the invariant space-time interval between events and using it to compare or determine measurements in inertial frames.

Exam points

Calculate and interpret the invariant space-time interval between events.
Use Lorentz factors and transformed coordinates to compare temporal and spatial separations using complete evidence.

[Maximum number: 3]

The space-time diagram shows the coordinate axes (x, c t) of an inertial reference frame S. Two events, P and Q, are plotted.

Figure for Question IB Physics HL A 5 8 Hl Space Time Interval Questions question 1 — IB Physics HL

(a)

Calculate the space-time interval $(\Delta s)^{2}$ between P and Q .

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Correct readoffs $\Delta x=3 \mathrm{~m}, c \Delta t=1 \mathrm{~m}$ $(\Delta s)^{2}=\ll 1^{2}-3^{2}=>-8 \mathrm{~m}^{2}$

Marking guidance:

Ignore units as they are not required for the answer.

Do not award MP2 if the answer is positive

(b)

$(\Delta s)^{2}$ is an invariant quantity. Outline what is meant by an invariant quantity.

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IB Physics HL A 5 8 Hl Space Time Interval Questions question 1

Question (a)

Question (b)