Two identical sinusoidal waves travel in opposite direction in a wire `15 m` long and produce a standing wave in the wire . If the speed of the wave is `12 ms^(-1)` and there are `6` nodes in the standing wave . Find the frequency .

Answer

`2`

Explanation

`l = 15.0 m , v = 12 ms^(-1)`
Since there are `6` nodes , with the ends as nodes there will be five half wavelength in the string.
So , `( 5 lambda)/(2) = l = 15 rArr lambda = 6.0 m`
Using `f = (v)/(lambda) = (12)/(6) = 2.0 Hz`