If the tension in string is doubled what will be the effect on the speed of standing waves in the string?

The velocity of a travelling wave in a stretched string is determined by the tension and the mass per unit length of the string.

The wave velocity is given by


When the wave relationship is applied to a stretched string, it is seen that resonant standing wave modes are produced.

So, if we double the tension the speed will increase 1.41 times or root (2) times.

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