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Date	November 2019	Marks available	2	Reference code	19N.2.SL.TZ0.3
Level	Standard level	Paper	Paper 2	Time zone	0 - no time zone
Command term	State and Explain	Question number	3	Adapted from	N/A

Question

The solid line in the graph shows the variation with distance $x$ of the displacement $y$ of a travelling wave at t = 0. The dotted line shows the wave 0.20 ms later. The period of the wave is longer than 0.20 ms.

One end of a string is attached to an oscillator and the other is fixed to a wall. When the frequency of the oscillator is 360 Hz the standing wave shown is formed on the string.

Point X (not shown) is a point on the string at a distance of 10 cm from the oscillator.

Calculate, in m s^–1, the speed for this wave.

[1]

a(i).

Calculate, in Hz, the frequency for this wave.

[2]

a(ii).

The graph also shows the displacement of two particles, P and Q, in the medium at t = 0. State and explain which particle has the larger magnitude of acceleration at t = 0.

[2]

State the number of all other points on the string that have the same amplitude and phase as X.

[1]

c(i).

The frequency of the oscillator is reduced to 120 Hz. On the diagram, draw the standing wave that will be formed on the string.

[1]

c(ii).