A pipe, closed at one end, has a loudspeaker at the open end. For some frequencies of soundfrom the loudspeaker, a stationary sound wave is formed in the air within the pipe with anantinode at the open end of the pipe.0.85 mloudspeaker pipeThe length of the pipe is 0.85 m.The speed of sound in air is 340 m s –1.Which frequency of sound from the loudspeaker would not produce a stationary wave?A 100 Hz B 200 Hz C 300 Hz D 500 Hz
Question
A pipe, closed at one end, has a loudspeaker at the open end. For some frequencies of soundfrom the loudspeaker, a stationary sound wave is formed in the air within the pipe with anantinode at the open end of the pipe.0.85 mloudspeaker pipeThe length of the pipe is 0.85 m.The speed of sound in air is 340 m s –1.Which frequency of sound from the loudspeaker would not produce a stationary wave?A 100 Hz B 200 Hz C 300 Hz D 500 Hz
Solution
To answer this question, we need to understand the concept of resonance in a pipe closed at one end. In such a pipe, the resonant frequencies are given by the formula:
f = nv/4L
where:
- f is the frequency,
- n is a positive odd integer (1, 3, 5, etc.),
- v is the speed of sound, and
- L is the length of the pipe.
Given that the speed of sound v is 340 m/s and the length of the pipe L is 0.85 m, we can substitute these values into the formula to find the frequencies that would produce a stationary wave:
f = 1*(340)/(40.85) = 100 Hz f = 3(340)/(40.85) = 300 Hz f = 5(340)/(4*0.85) = 500 Hz
Therefore, the frequency that would not produce a stationary wave is 200 Hz (option B).
Similar Questions
A 50.0 cm long organ pipe is filled with air and is open at both ends. The speed of sound in air at 0°C is 331 m/s. What is the frequency of the second mode?
The diagram shows the wave fronts created by a sound source moving to the right. The waves that precedethe source have a wavelength (A. 1 ) of 1.40 m, while those that trail the source have a wavelength (A 2 ) of 1.80m. If the speed of sound in air is 326 m/s, what is the true frequency of the source?a. 197 Hz c. 233 Hzb. 181 Hz d. 204 Hz
A 30 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 wavelength of the second mode of vibration?
A 3.00 m long air column is open at both ends. The frequency of a certain harmonic is 500 Hz and the frequency of the next higher harmonic is 557 Hz. Determine the speed of sound in the air column. The end correction may be neglected.
When a guitar string is plucked, it causes a longitudinal sound wave in the air, as shown.0.0 0.2 0.4distance / m0.6 0.8The speed of sound in the air is 340 m s –1.What is the approximate frequency of the sound wave shown?A 430 Hz B 680 Hz C 1100 Hz D 1400 Hz
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.