
(a)
The mass per unit length of the rope.
(a)

Answer to Problem 1SP
The mass per unit length of the rope is
Explanation of Solution
Given info: The length of the rope is
Write the equation to find the mass per unit length of the rope.
Here,
Substitute
Conclusion:
Therefore, the mass per unit length of the rope is
(b)
The speed of the waves formed in the rope.
(b)

Answer to Problem 1SP
The speed of the waves formed in the rope is
Explanation of Solution
Given info: The tension in the rope is
Write the equation to find the velocity of waves formed in a rope under tension.
Here,
Substitute
Conclusion:
Therefore, the velocity of the waves formed in the rope is
(c)
The wavelength of the waves formed in the rope.
(c)

Answer to Problem 1SP
The wavelength of the waves formed in the rope is
Explanation of Solution
Given info: Frequency of the waves in the rope is
Write the equation to find the wavelength of the waves formed in the rope.
Here,
Substitute
Conclusion:
Therefore, the wavelength of the wave formed in the rope is
(d)
The number of complete cycles of wave that will fit on the rope.
(d)

Answer to Problem 1SP
The number of complete cycles of waves that is formed in the rope is
Explanation of Solution
The length of rope used is
Therefore the number of wave cycles that will be completed in the rope is found by just dividing the total length by wavelength.
Write the equation to find the number of wave cycles completed.
Here,
Substitute
Conclusion:
Therefore, the number of wave cycles in the rope is
(e)
The time taken by the leading edge of the waves to go and come back from the edge of the rope.
(e)

Answer to Problem 1SP
The waves take a time of
Explanation of Solution
The waves need to travel a distance of
The time taken by a wave to complete one cycle of motion is called time period. We have two cycles here and so we have to multiply the time period for one cycle by two to get the time period for two cycles.
Write the equation to find the time period of two cycles of waves.
Here,
Substitute
Conclusion:
Therefore, the time taken by the waves to reach and start back again from the end of the rope is
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Chapter 15 Solutions
EBK PHYSICS OF EVERYDAY PHENOMENA
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