harmonic

Question 1

First harmonic (fundamental frequency)

Answer 1

This is the lowest frequency at which a stationary waves form
It consists of an single loop that has a node at each end and antinode in the middle
The distance between the nodes at either end (i.e, the length of the string ) must be equal to one half-wavelength of the wave
L=1/2λ
frequency = f1

Question 2

Second harmonic

Answer 2

This is the Second lowest frequency that can produce a stationary wave
The wave forms two equal loops, with a node at the centre as well as at either end and antinodes between nodes
The distance between two consecutive nodes is equal to half a wavelength the length of two loops, L is therefore equal to one full wavelength
λ=L
frequency = f2 =2 x f1

Question 3

Third harmonic

Answer 3

The wave forms equal loops, with two nodes between the loops and an antinode each node
The length of three loops, L is equal to one and one half wavelength
L=2/3λ
frequency = f3 = 3 x f1