A transverse wave travels along a stretched string. The displacement of particles along the string at a particular instant is given by the following data.
Position x(cm)
0
4
8
12
16
20
Displacement y(mm)
0
5
0
−5
0
5
At a fixed point on the same string, the displacement varies with time as follows.
Time t(ms)
0
5
10
15
20
25
30
Displacement y(mm)
0
5
0
−5
0
5
0
Using the information above, answer the questions that follow.
(i) Draw a displacement–distance graph and determine the wavelength λ and the amplitude A of the wave.
(ii) Draw a displacement–time graph for the fixed point and determine the time period T.
(iii) Calculate the frequency f of the wave.
(iv) Determine the speed v of the wave on the string.