Concept explainers
(a)
To calculate: The length of the shortest organ pipe that will resonate at the given frequency.
(a)
Answer to Problem 62A
The length of the organ pipe is
Explanation of Solution
Given:
Frequency of the lowest note =
Formula used:
Wavelength is given by the formula:
Where
Length of an open pipe is given by the formula:
Where
Calculation:
Wavelength is calculated as:
Length of the organ pipe is calculated as:
Conclusion:
The length of the organ pipe is
(b)
To calculate: The pitch if the organ pipe is closed.
(b)
Answer to Problem 62A
The pitch if the organ pipe is closed is
Explanation of Solution
Given:
Frequency of the lowest note of open pipe =
Formula used:
The lowest frequency of an open pipe is given by the formula:
Where
The lowest frequency of a closed pipe is given by the formula:
Where
Calculation:
Let frequency of the closed pipe be
The lowest frequency of the closed pipe can be calculated as:
Conclusion:
The pitch if the organ pipe is closed is
Chapter 15 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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