Question

What is the basic formula for the harmonic of a standing wave

Answer 1

The basic formula for the harmonic of a standing wave, describing the relation between the length and the wavelength is, $L=\left(\frac{n}{2}\right) \lambda$

Explanation:

Standing waves are produced if two waves of same frequencies interfere each other in such a way that it produce points that appears to be standing still in the medium.  

On studying the wave patterns analytically, we see that there is a direct relationship between the length of the medium in which the wave pattern is seen and the wavelength of the waves.

With other experimental researches and studies, it has been concluded that the length of the medium that draws a string covered by a harmonic of a standing wave is equal to half of wavelength of the wave pattern i.e., the equation for the nth harmonic of a standing wave is,

               $L=\left(\frac{n}{2}\right) \lambda$

Where,

L- Length of the string covered by the single loop of a complete wave

n- An integer representing the harmonic number

Answer 2

fn=nf1 is the formula