Date | May 2015 | Marks available | 1 | Reference code | 15M.3.SL.TZ1.2 |
Level | Standard level | Paper | Paper 3 | Time zone | Time zone 1 |
Command term | State | 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.
(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.
Markscheme
node;
(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);