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Question 19N.3.SL.TZ0.c(iii)

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Date November 2019 Marks available [Maximum mark: 2] Reference code 19N.3.SL.TZ0.c(iii)
Level SL Paper 3 Time zone TZ0
Command term Demonstrate Question number c(iii) Adapted from N/A
c(iii).
[Maximum mark: 2]
19N.3.SL.TZ0.c(iii)

A train is moving across a bridge with a speed v = 0.40c. Observer A is at rest in the train. Observer B is at rest with respect to the bridge.

The length of the bridge LB according to observer B is 2.0 km.

According to observer B, two lamps at opposite ends of the bridge are turned on simultaneously as observer A crosses the bridge. Event X is the lamp at one end of the bridge turning on. Event Y is the lamp at the other end of the bridge turning on.

Events X and Y are shown on the spacetime diagram. The space and time axes of the reference frame for observer B are x and ct. The line labelled ct' is the worldline of observer A.

Demonstrate, using the diagram, which lamp observer A observes to light first.

[2]

Markscheme

light worldlines at 45° from X AND Y intersecting the worldline ct′

so light from lamp X is observed first ✔

NOTE: Allow lines drawn without a ruler.
Do not allow MP2 without supporting argument or correct diagram.