The frequency n of vibration of stretched string depends upon its length l, its mass per unit length m and Tension t in the string Obtain dimensionally an expression for frequency n.

 Let the relation be:

Frequency v = KLafbmc

where k is a dimensionless constant

The dimension of each quantity are:





Thus now equating the dimension on both side of the equation:


thus, b = 1/2

c = −1/2

a = −1

Thus, the formula for frequency is:

V = k/L √f/m

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