DP Physics (last assessment 2024)

Test builder »

Question 17N.3.SL.TZ0.6d

Select a Test
Date November 2017 Marks available [Maximum mark: 2] Reference code 17N.3.SL.TZ0.6d
Level SL Paper 3 Time zone TZ0
Command term Explain Question number d Adapted from N/A
d.
[Maximum mark: 2]
17N.3.SL.TZ0.6d

A train is passing through a tunnel of proper length 80 m. The proper length of the train is 100 m. According to an observer at rest relative to the tunnel, when the front of the train coincides with one end of the tunnel, the rear of the train coincides with the other end of the tunnel.

(d)

For an observer on the train, it is the tunnel that is moving and therefore will appear length contracted. This seems to contradict the observation made by the observer at rest to the tunnel, creating a paradox. Explain how this paradox is resolved. You may refer to your spacetime diagram in (b).

[2]

Markscheme

ALTERNATIVE 1

indicates the two simultaneous events for t frame

marks on the diagram the different times «for both spacetime points» on the ct′ axis «shown as Δt′ on each diagram»

ALTERNATIVE 2: (no diagram reference)

the two events occur at different points in space

statement that the two events are not simultaneous in the t′ frame