Concept explainers
(a)
To Calculate: The fundamental and first three audible overtones.
(a)
Answer to Problem 25P
The fundamental frequency is
Explanation of Solution
Given:
Length of the organ pipe,
Formula used:
The frequency is,
Where L is the length of the string
M is the masse of the vibrating portion of the string
V is the sound’s velocity
Calculation:
Only odd harmonic are present if only one end of the pipe is closed. Then the frequency is given as,
Here,
Similarly for
Similarly, for
Conclusion:
The frequencies are
(b)
To Calculate: The fundamental and first three audible overtones.
(b)
Answer to Problem 25P
The fundamental frequency is
Explanation of Solution
Given:
Length of the organ pipe,
Formula used:
The frequency is,
Where L is the length of the string
M is the masse of the vibrating portion of the string
V is the sound’s velocity
Calculation:
All harmonic frequencies are present if both ends of the pipe is open. So, the frequencies are
Similarly, for
For,
For,
Conclusion:
The frequencies are
Chapter 12 Solutions
Physics: Principles with Applications
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