Concept explainers
(a)
To Find: The distance from the end of the string.
(a)
Answer to Problem 29P
The distance from the end of the string.is
Explanation of Solution
Given:
Length,
Frequency at point A,
Frequency at point E,
Formula used:
The fundamental frequency is given as,
Where, v is the velocity and L is the length of the string
Calculation:
According to the formula, the frequency is inversely proportional to the length to length. Therefore, the product of frequency and length is constant such that,
So, apply this formula for the given case,
The length of the string from the nut of the guitar is
Conclusion:
The string must be fingered
(b)
To Find: The wavelength on the string.
(b)
Answer to Problem 29P
Explanation of Solution
Given:
Frequency at point A,
Speed of wave,
Formula used:
The wavelength is calculated as,
Where L is the length of the string
Calculation:
The string is vibrating in its fundamental mode if it is fixed at the both ends. Therefore, the wavelength is equal to the two times of the length of the string. So, the wavelength is calculated as,
Conclusion:
The wavelength of the 440 Hz frequency wave is
(c)
To Calculate: The frequency and wavelength of the sound wave produced in air.
(c)
Answer to Problem 29P
λ=
Explanation of Solution
Given:
Temperature ( T ) =
Formula used:
The wavelength is given as,
Where,
Calculation:
The frequency of the string is must be equal to the that of the sound, that is
Now, the wavelength is,
Conclusion:
The wavelength of the soundwave produced at
Chapter 12 Solutions
Physics: Principles with Applications
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