JEE Advanced 2014 Physics 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 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: (A),(C),(D)
Solution
For the wave speed is , which must be 100 m/s; x = 0 is a node (sin 0 = 0) as required. The other end (x = 3 m) is the vibrating source, so it must not be a node; for the string it acts as a free (antinode) end, requiring . (A) , $ω =
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