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Date May 2015 Marks available 3 Reference code 15M.3.SL.TZ1.2
Level Standard level Paper Paper 3 Time zone Time zone 1
Command term Calculate Question number 2 Adapted from N/A

Question

This question is about standing (stationary) waves.

The diagram shows an arrangement used to produce a standing (stationary) wave on a stretched string of length 2.4 m. A standing wave with five loops appears when the frequency of the oscillator is set to 150 Hz, as shown below.

State the name given to point X on the string.

[1]
a.

(i) Calculate the speed of the wave along the string.

(ii) Calculate the frequency of the oscillator that would produce a standing wave with two loops on this string.

[3]
b.

Markscheme

node;

a.

(i) wavelength \( = \frac{{{\text{2.4}}}}{{{\text{2.5}}}} = \left( {0.96{\text{m}}} \right)\);
\(c = f\lambda  = 144\left( {{\text{m}}{{\text{s}}^{ - 1}}} \right)\);

(ii) 60 (Hz);

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Core » Topic 4: Waves » 4.5 – Standing waves
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