a) A length of a string is L and its mass per unit length is µ. The string is stretched and the tension in the string is T. The string vibrates at its fundamental frequency f. (i) Draw a diagram to show the vibration of the string. (ii) Find in terms of f, the new fundamental frequency when the length of the string is halved.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter14: Superposition And Standing Waves
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(a) A length of a string is L and its mass per unit length is µ. The string is stretched and the tension in the string is T. The string vibrates at its fundamental frequency f.
(i) Draw a diagram to show the vibration of the string.

(ii) Find in terms of f, the new fundamental frequency when the length of the string is halved.

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