A taut string is tied down at both ends. Assume that the fundamental mode of oscillation of the string has a period T0. For each of the changes described below give the factor by which the period changes. For example, if the change described resulted in a period twice as long, you would put the number "2". Do not cumulate changes. That is, before each change, assume you are back at the original starting situation. (If your answer is not an integer, you can round it off to two sigfigs.)A. The string is replaced by one of twice the mass but of the same length. _____B. The wavelength of the starting shape is divided by three. __1/3__C. The amplitude of the oscillation is doubled. ______D. The tension of the string is halved. ______

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Asked Nov 18, 2019
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A taut string is tied down at both ends. Assume that the fundamental mode of oscillation of the string has a period T0. For each of the changes described below give the factor by which the period changes. For example, if the change described resulted in a period twice as long, you would put the number "2". Do not cumulate changes. That is, before each change, assume you are back at the original starting situation. (If your answer is not an integer, you can round it off to two sigfigs.)

  • A. The string is replaced by one of twice the mass but of the same length. _____
  • B. The wavelength of the starting shape is divided by three. __1/3__
  • C. The amplitude of the oscillation is doubled. ______
  • D. The tension of the string is halved. ______
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Expert Answer

Step 1

the relation between velocity and wavelength will be

For the fundamental mode,
(1)
2L
(2)
fo
TL
(3)
т
mL
Т,
F
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For the fundamental mode, (1) 2L (2) fo TL (3) т mL Т, F

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Step 2

For the first and ...

А).
т 3 2m,
Тa m
В).
Тос 1
Т.
3
1
-Т.
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Image Transcriptionclose

А). т 3 2m, Тa m В). Тос 1 Т. 3 1 -Т.

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Wave Motion