Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Sound Waves
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Sound Waves
A vibrating organ pipe has a fundamental frequency equal to 200 Hz .
A vibrating organ pipe has a fundamental frequency equal to .
Options
- AThe first overtone is exactly .
- BThe first overtone could be .
- CA frequency of is an overtone.
- DThe first overtone could be .
Correct answer
D. The first overtone could be .
Step-by-step solution
The organ pipe can be open at both ends or closed at one end.
For an open organ pipe, the frequencies of harmonics are given by , where
The fundamental frequency is .
The frequencies are
The first overtone is and the second overtone is .
For a closed organ pipe, the frequencies of harmonics are given by , where
The frequencies are
The first overtone is .
Thus, the first overtone could be (if the pipe is open) or (if the pipe is closed).
In both cases, is an overtone (second overtone for open pipe, first overtone for closed pipe).
For an open organ pipe, the frequencies of harmonics are given by , where
The fundamental frequency is .
The frequencies are
The first overtone is and the second overtone is .
For a closed organ pipe, the frequencies of harmonics are given by , where
The frequencies are
The first overtone is .
Thus, the first overtone could be (if the pipe is open) or (if the pipe is closed).
In both cases, is an overtone (second overtone for open pipe, first overtone for closed pipe).