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Question 19M.3.SL.TZ2.4

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Date May 2019 Marks available [Maximum mark: 4] Reference code 19M.3.SL.TZ2.4
Level SL Paper 3 Time zone TZ2
Command term Calculate, Define, Describe Question number 4 Adapted from N/A
4.
[Maximum mark: 4]
19M.3.SL.TZ2.4

The speed of a spaceship is measured to be 0.50c by an observer at rest in the Earth’s reference frame.

(ai)

Define an inertial reference frame.

[1]

Markscheme

a coordinate system which is not accelerating/has constant velocity/Newtons 1st law applies ✔

OWTTE

Both “inertial” and “reference frame” need to be defined

Examiners report

In defining an inertial frame of reference far too many candidates started with the words ‘ a frame of reference that...... ’ instead of ‘a coordinate system that.....’

(aii)

As the spaceship passes the Earth it emits a flash of light that travels in the same direction as the spaceship with speed c as measured by an observer on the spaceship. Calculate, according to the Galilean transformation, the speed of the light in the Earth’s reference frame.

[1]

Markscheme

1.5c

Examiners report

Almost no incorrect answers were seen.

(b)

Use your answer to (a)(ii) to describe the paradigm shift that Einstein’s theory of special relativity produced.

[2]

Markscheme

c is the same in all frames

OR

c is maximum velocity possible ✔

velocity addition frame dependent ✔

length/time/mass/fields relative measurements ✔

Newtonian/Galilean mechanics valid only at low speed ✔

Examiners report

Most candidates correctly stated that in special relativity the velocity of light, c, is the maximum possible velocity or is invariant. Only a few added that Galilean relativity only applies at speeds much less than the speed of light.