DP Physics (last assessment 2024)

Question 18N.3.SL.TZ0.5a.i

Date	November 2018	Marks available	[Maximum mark: 2]	Reference code	18N.3.SL.TZ0.5a.i
Level	SL	Paper	3	Time zone	TZ0
Command term	Show that	Question number	a.i	Adapted from	N/A

a.i.

[Maximum mark: 2]

18N.3.SL.TZ0.5a.i

The spacetime diagram shows the axes of an inertial reference frame S and the axes of a second inertial reference frame S′ that moves relative to S with speed 0.745c. When clocks in both frames show zero the origins of the two frames coincide.

Event E has coordinates x = 1 m and ct = 0 in frame S. Show that in frame S′ the space coordinate and time coordinate of event E are

(a.i)

x′ = 1.5 m.

[2]

Markscheme

$\gamma =$ « $\frac{1}{{\sqrt {1 - {{0.745}^2}} }} =$ » 1.499 ✔

x′ = « $\gamma \left( {x - vt} \right) =$ » 1.499 × (1.0 − 0) ✔

«x′ = 1.5 m»

Syllabus sections

Option A: Relativity

Option A: Relativity » Option A: Relativity (Core topics) » A.2 – Lorentz transformations

Option A: Relativity » Option A: Relativity (Core topics)

Question 18N.3.SL.TZ0.5a.i

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