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If you stretch a rubber band and pluck it, you hear a

Chapter 15, Problem 20DQ

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QUESTION:

If you stretch a rubber band and pluck it, you hear a (somewhat) musical tone. How does the frequency of this tone change as you stretch the rubber band further? (Try it!) Does this agree with Eq. (15.35) for a string fixed at both ends? Explain.

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QUESTION:

If you stretch a rubber band and pluck it, you hear a (somewhat) musical tone. How does the frequency of this tone change as you stretch the rubber band further? (Try it!) Does this agree with Eq. (15.35) for a string fixed at both ends? Explain.

ANSWER:

Solution 20DQ Step 1: The equation for the frequency of a wave in a string 1 T f = 2L Where, L - length of the string T - Tension on the string - linear mass density of the string T If we stretch the rubber band, the length will be changed. So, the ratio o will be same for the string. But, the frequency will be changed due to the change in length.

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