The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open pipe is 60 cm, the length of the closed pipe will be :
Question
The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open pipe is 60 cm, the length of the closed pipe will be :
Solution
The fundamental frequency of a closed pipe is the first harmonic, while the first overtone of an open pipe is the second harmonic.
The frequency of a wave is inversely proportional to its wavelength. In a closed pipe, the length of the pipe is equal to half the wavelength of the fundamental frequency (first harmonic). In an open pipe, the length of the pipe is equal to the wavelength of the first overtone (second harmonic).
Therefore, if the fundamental frequency of a closed pipe is equal to the first overtone frequency of an open pipe, their wavelengths (and thus the lengths of the pipes) are also equal.
So, if the length of the open pipe is 60 cm, the length of the closed pipe will also be 60 cm.
Similar Questions
An open organ pipe has a fundamental frequency of 300 Hz. The first overtone of a closed organ pipe has the same frequency as the first overtone of the open pipe. Find the length of each pipe. (velocity of sound = 330 m/s)0.45 m and 0.3125 m0.42 m and 0.7615 m0.35 m and 0.85 m0.55 m and 0.4125 m
A 20.0 cm long organ pipe is filled with air and is open at one end and closed at the other. The speed of sound in air at 0°C is 331 m/s. What is the frequency of the fundamental mode?
Difference between the resonance lengths of two successive overtones of a tube closed at one end was 32 cm.If the end correction of the tube is 0.5 cm, what is the resonance length of the pipe when it vibrates at it’sfundamental frequency?
A string with a mass per length of 2.00 g/m is stretched with a force of 120 N between two points that are 0.400 m apart. The fundamental frequency of the stretched string is in tune with the fundamental frequency of an organ pipe filled with air and open at both ends. The speed of sound in air at 0°C is 331 m/s. What is the length of the organ pipe?
An organ pipe is open at both ends. The frequency of the third mode is 320 Hz higher than the frequency of the second mode. If the speed of sound is 345 m/s, then what is the length of the organ pipe?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.