Q.15.9 For the wave described in Exercise 15.8, plot the displacement (y) versus (t) graphs for , 2 and 4 cm. What are the shapes of these graphs? In which aspects does the oscillatory motion in travelling wave differ from one point to another: amplitude, frequency or phase?
for x = 0
The time period of oscillation is T
To make the y versus t graph we tabulate values of y(t) at different values of t as follows
The graph of y versus t is as follows
For other values of x, we will get a similar graph. Its time period and amplitude would remain the same, it just will be shifted by different amounts for different values of x.