Concept explainers
(a)
The time interval between the first and second times of the element.
(a)
Answer to Problem 75PQ
The time interval between the first and second times of the element is
Explanation of Solution
The equation for the transverse wave on a string is,
Here,
The wave function of the transverse wave on a string is,
Rearrange the equation (II) by substituting
The smallest two angles for which the sine function is 0.75 are
Write the expression for time difference of the element.
Here,
Conclusion:
Substitute
Therefore, the time interval between the first and second times of the element is
(b)
The distance covered by the wave during time interval found in part (a).
(b)
Answer to Problem 75PQ
The distance covered by the wave is
Explanation of Solution
Write the expression for wave travels one wavelength in one period.
Here,
Write the relation between wavelength and time period.
Here,
Write the expression for wave speed.
Here,
Substitute equation (VII) in the equation (V).
Conclusion:
Substitute
Therefore, the distance covered by the wave is
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Chapter 17 Solutions
Student Solutions Manual For Katz's Physics For Scientists And Engineers: Foundations And Connections, Volume 1
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