Answer:
We know that
Velocity= wavelength x frequency
And f= 1/2π√T/u
So we also know that
The frequency of nth harmonic standing wave is
fn=nv/2L
So from the relationships above
We can see that as propagational velocity increases, the frequency increases and the wavelength decreases. So finally we can say that sinusoidal pattern on a string is shorter when there is a greater propagation velocity
