| Date | May 2011 | Marks available | 3 | Reference code | 11M.3.SL.TZ2.1 |
| Level | Standard level | Paper | Paper 3 | Time zone | Time zone 2 |
| Command term | Explain and State | Question number | 1 | Adapted from | N/A |
Question
This question is about standing (stationary) waves.
The diagram represents a standing wave of wavelength λ set up on a string of length L.
The string is fixed at both ends.
For this standing wave
(i) state the relationship between λ and L.
(ii) label, on the diagram, two antinodes where the string is vibrating in phase. Label the antinodes with the letter A.
The standing wave has wavelength λ and frequency f. State and explain, with respect to a standing wave, what is represented by the product f λ.
Markscheme
(i) L=4λ or \(\lambda = \frac{L}{4}\);
(ii) two antinodes labelled;
with separation of integral number of wavelengths;
f λ is the speed of the wave;
standing wave formed by interference of an incident and a reflected progressive wave;
speed is the speed of this progressive wave;
