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The fundamental frequency of a vibrating organ pipe is 200 Hz
- a)The first overtone is 400 Hz
- b)The first overtone may be 400 Hz
- c)The first overtone may be 600 Hz
- d)600 Hz is an overtone
Correct answer is option 'A'. Can you explain this answer?
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Fundamental Frequency and Overtone of a Vibrating Organ Pipe
Fundamental frequency and overtone are two important concepts in the study of vibrating organ pipes. Let's understand these concepts and the correct answer to the given question.
Fundamental Frequency:
- The fundamental frequency is the lowest frequency of a vibrating object or system.
- In the case of an organ pipe, the fundamental frequency is the frequency of the first harmonic, which is the simplest standing wave pattern that can be produced in the pipe.
- The fundamental frequency of an organ pipe depends on its length, diameter, and the speed of sound in the medium in which it is vibrating.
Overtone:
- An overtone is any frequency higher than the fundamental frequency that is present in a vibrating object or system.
- In the case of an organ pipe, overtones are produced by the higher harmonics, which are more complex standing wave patterns that can be produced in the pipe.
- The first overtone of an organ pipe is the frequency of the second harmonic, which is twice the frequency of the fundamental frequency.
Answer:
- According to the given question, the fundamental frequency of a vibrating organ pipe is 200 Hz.
- The first overtone of an organ pipe is the frequency of the second harmonic, which is twice the frequency of the fundamental frequency.
- Therefore, the frequency of the first overtone of this organ pipe would be 400 Hz.
- Hence, the correct answer to the given question is option 'A'.
Fundamental frequency and overtone are two important concepts in the study of vibrating organ pipes. Let's understand these concepts and the correct answer to the given question.
Fundamental Frequency:
- The fundamental frequency is the lowest frequency of a vibrating object or system.
- In the case of an organ pipe, the fundamental frequency is the frequency of the first harmonic, which is the simplest standing wave pattern that can be produced in the pipe.
- The fundamental frequency of an organ pipe depends on its length, diameter, and the speed of sound in the medium in which it is vibrating.
Overtone:
- An overtone is any frequency higher than the fundamental frequency that is present in a vibrating object or system.
- In the case of an organ pipe, overtones are produced by the higher harmonics, which are more complex standing wave patterns that can be produced in the pipe.
- The first overtone of an organ pipe is the frequency of the second harmonic, which is twice the frequency of the fundamental frequency.
Answer:
- According to the given question, the fundamental frequency of a vibrating organ pipe is 200 Hz.
- The first overtone of an organ pipe is the frequency of the second harmonic, which is twice the frequency of the fundamental frequency.
- Therefore, the frequency of the first overtone of this organ pipe would be 400 Hz.
- Hence, the correct answer to the given question is option 'A'.
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The fundamental frequency of a vibrating organ pipe is 200 Hza)The first overtone is 400 Hzb)The first overtone may be 400 Hzc)The first overtone may be 600 Hzd)600 Hz is an overtoneCorrect answer is option 'A'. Can you explain this answer?
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