A standing wave is set up in a string of variable lengthand tension by a vibrator of
Chapter 18, Problem 82(choose chapter or problem)
A standing wave is set up in a string of variable lengthand tension by a vibrator of variable frequency. Bothends of the string are fixed. When the vibrator has afrequency f, in a string of length L and under tensionT, n antinodes are set up in the string. (a) If the lengthof the string is doubled, by what factor should the frequencybe changed so that the same number of antinodesis produced? (b) If the frequency and length areheld constant, what tension will produce n 1 1 antinodes?(c) If the frequency is tripled and the length ofthe string is halved, by what factor should the tension bechanged so that twice as many antinodes are produced?
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