Concept explainers
(a)
The speed of the wave.
(a)
Answer to Problem 1OQ
Option (a). It increases.
Explanation of Solution
Write the expression for the speed of the wave in terms of tension and mass per unit length.
Here,
Substitute,
From equation (II) it is clear that as mass of the rope decreases the speed of the wave increases. When the wave passes from massive string to less massive string the speed of the wave increases.
Conclusion:
Therefore, option (a) the right answer. As the wave propagates from massive to less massive string the speed of the wave increases.
(b)
The frequency of the wave.
(b)
Answer to Problem 1OQ
Option (c). It is constant.
Explanation of Solution
The frequency of the wave is remains constant. Since the rate at which crests come to the boundary is equal to the rate at which crests leave the boundary.
The frequency is independent of the mass of the medium through which it propagates. Thus, the frequency of the wave remains unchanged.
Conclusion:
Therefore, option (c) is the right answer. Thus the frequency of the wave remains when wave passes from massive string to less massive string.
(c)
The wavelength of the wave.
(c)
Answer to Problem 1OQ
Option (a). It increases.
Explanation of Solution
Write the expression for speed of the wave in terms of frequency and wavelength.
The speed of the wave increases when wave passes from massive string to less massive string. Since speed is proportional to the wavelength, as speed increase the wavelength is also increases.
Conclusion:
Therefore, option (a) is the right answer. The wavelength of the wave increases.
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Chapter 16 Solutions
Physics: for Science.. With Modern. -Update (Looseleaf)
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