Answer :

We know that the frequency if wire in tension is given by the equation



where n is the number of node, l is the length of the wire, T is the tension of the wire and μ is the mass per unit length of the wire. Let r be the radius of the wire and ρ be its density, then mass per unit length is given by,



then the frequency becomes



when r = 3r,




Therefore, when the radius is tripled the frequency is reduced by a factor of .


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