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 (Δs)^2=(cΔt)^2−(Δx)^2 from the time and spatial separation of two events, including the sign and units
demonstrate or explain invariance by evaluating the same interval in two inertial frames
use the invariant interval with a known separation in one frame to determine an unknown time or spatial separation in another frame

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Study A.5.8 (HL)—Space-time interval conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

[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.

[ 1 ]

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

Question (a)

Question (b)