RESONANCE IN AIR COLUMNS
STANDING WAVES IN A STRETCHED STRING OF LENGTH OF L FIXED AT BOTH ENDS:
SCIENTIFIC NAME | MUSICAL NAME | ||
First harmonic | Fundamental | L = λ/2 | |
Second harmonic | First overtone |
L = λ
|
|
Third harmonic | Second overtone | L = 3λ/2 | |
Fourth harmonic | Third overtone | L = 2λ |
CLOSED END OF AIR COLUMN Acts as a fixed end
First resonant length Fundamental mode |
L = λ/4 f0 |
|
Second resonant length First overtone |
L = 3λ/4 3f0 |
|
Third resonant length Second overtone
|
L = 5λ/4 5f0 |
OPEN END OF AIR COLUMN Acts as a free end
First resonant length Fundamental mode
|
L = λ/2 f0 |
|
Second resonant length First overtone
|
L = λ 2f0 |
|
Third resonant length Second overtone
|
L = 3λ/2 3f0 |
|
Fourth resonant length Third overtone
|
4th Harmonic | L = 2λ 4f0 |