Concept explainers
(a)
The sound which arrives first.
(a)
Answer to Problem 66AP
The sound through the metal arrives first.
Explanation of Solution
When a hammer is used at one end, the sound can travel through both metal rod and air. The speed of the wave through metal rod is
Since, speed of the sound in metal is greater than the sped of the sound in air, the sound through metal arrives first.
Conclusion:
Therefore, the sound through the metal arrives first.
(b)
The length of the rod as a function of
(b)
Answer to Problem 66AP
The length of the rod as a function of
Explanation of Solution
Write the expression for the time taken by the sound to travel.
Here,
The delay between the arrival of pulses through copper and air is.
Here,
Rearrange equation (II) to obtain an expression for
Conclusion:
Substitute,
Therefore, length of the rod as a function of
(c)
The length of the rod if
(c)
Answer to Problem 66AP
The length of the rod if
Explanation of Solution
Write the expression for the length of the rod.
Conclusion:
Substitute,
Therefore, the length of the rod if
(d)
The length of the rod in terms of
(d)
Answer to Problem 66AP
The length of the rod in terms of
Explanation of Solution
The speed of the sound in rod is given as
Substitute,
Conclusion:
Therefore, the length of the rod in terms of
(d)
The length of the rod when speed of the sound goes to infinity.
(d)
Answer to Problem 66AP
The length of the rod when speed of the sound goes to infinity is
Explanation of Solution
Write the expression for the length of the rod.
Conclusion:
Substitute,
Therefore, the length of the rod when speed of the sound goes to infinity is
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Chapter 17 Solutions
Physics for Scientists and Engineers With Modern Physics
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