Answer:
Explanation:
In case of open organ pipe ,
for fundamental note 2l = wavelength
frequency n = V / Wave length , V is velocity of sound.
f₁ = V / 2I
for first overtone note 2l /2 = wavelength
wavelength = l
frequency = V / wavelength
f₂ = V / l
for second overtone note 2l /3 = wavelength
wavelength = 2l /3
frequency = V / wavelength
f₃ = 3V /2l
f₁ : f₂ : f₃ : : 1 : 2 : 3
In case of closed organ pipe ,
for fundamental note l = 4 x wavelength
frequency n = V / Wave length , V is velocity of sound.
f₁ = V / 4 I
for first overtone note l / = 3 wavelength / 4
wavelength = 4 l / 3
frequency = V / wavelength
f₂ =3 V /4 l
for second overtone note l = 5 wavelength /4
wavelength = 5l /4
frequency = V / wavelength
f₃ = 5 V /4 l
f₁ : f₂ : f₃ : : 1 : 3 : 5.
In case of open organ pipe , frequencies are in any integral ratio.
In case of closed organ pipe , frequencies are only in odd multiple
Since the given ratio are in any integral , the organ pipe must be open organ pipe.
