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Question 19M.3.SL.TZ2.7d

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Date May 2019 Marks available [Maximum mark: 2] Reference code 19M.3.SL.TZ2.7d
Level SL Paper 3 Time zone TZ2
Command term Suggest Question number d Adapted from N/A
d.
[Maximum mark: 2]
19M.3.SL.TZ2.7d

A spaceship moves away from the Earth in the direction of a nearby planet. An observer on the Earth determines the planet is 4 ly from the Earth. The spacetime diagram for the Earth’s reference frame shows the worldline of the spaceship. Assume the clock on the Earth, the clock on the planet, and the clock on the spaceship were all synchronized when ct = 0.

(d)

On passing the planet a probe containing the spaceship’s clock and an astronaut is sent back to Earth at a speed of 0.80c relative to Earth. Suggest, for this situation, how the twin paradox arises and how it is resolved.

[2]

Markscheme

On return to Earth the astronaut will have aged less than Earthlings «by 4 years»

OR

time passed on Earth is greater than time passed for the astronaut «by 4 years»

astronaut accelerated/changed frames but Earth did not

OR

for astronaut the Earth clock jumps forward at turn-around ✔

OWTTE

Treat as neutral any mention of both the Earth and astronaut seeing each other’s clock as running slow.

Examiners report

The twin paradox is now well understood and there were some good quality answers. Some candidates even knew that the Earth clock jumps forward when the Astronaut turns around.