JEE Advanced | 2014Wave motionMedium

Question

One end of a taut string of length 3 m along the x-axis is fixed at x = 0. The speed of the waves in the string is 100 ms-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)

Options

A.y(t) = A sin
B.y(t) = A sin
C.y(t) = A sin
D.y(t) = A sin cos 250 πt

Solution

There should be a node at x = 0 and antinode at x = 3 m. Also, u = = 100 m/s.
∴   y = 0 at x = 0 and y = ± A at x = 3 m.
Only A, C and D satisfy the condition.

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