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Date May 2013 Marks available 2 Reference code 13M.3.SL.TZ1.3
Level Standard level Paper Paper 3 Time zone Time zone 1
Command term Calculate Question number 3 Adapted from N/A

Question

This question is about standing waves in a vibrating string.

A guitar string vibrates at 330 Hz in its fundamental mode.

Describe the formation of standing waves in a string fixed at both ends.

[2]
a.

The length of the string is 0.64 m. Calculate the velocity of the wave in the string.

[2]
b.

Markscheme

wave travels down string and is reflected / OWTTE;

incident and reflected waves interfere/add/superpose to give a standing wave;

a.

λ = 2L = 1.28 (m);

v = λƒ = 420 (ms-1);

 Award [2] for bald correct answer.

b.

Examiners report

 (a) and (b) were well done in general, though many forgot to multiply the length by 2 to obtain the wavelength in (b). 

a.

(a) and (b) were well done in general, though many forgot to multiply the length by 2 to obtain the wavelength in (b). 

b.

Syllabus sections

Core » Topic 4: Waves » 4.5 – Standing waves
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