Question

One end of a tight string of length 3 m along the x-axis is fixed at x = 0. The speed of the waves in the string is 100 m s^-1. The other end of the string is vibrating in the y-direction so that stationary waves are set up in the string. The possible waveform(s) of these stationary waves is (are):

Answer 1

There should be a node at x = 0 and an antinode at x = 3 m.
Also, \(v = \frac{\omega}{k}\) = 100 m/s

∴ y = 0 at x = 0

and y = ± A at x = 3 m

only (a), (c) and (d) satisfy the condition.