Two identical wires have a fundamental frequency f₀ when kept under the same tension T . If the tension of one wire is increased by T , then the N beats occur when both wires oscillate simultaneously.

Step-by-step solution

Fundamental frequency of the wire, f₀= v 2 L , where v= T array ll & f₀= 1 2 L T & f₀ T array Dividing Eq. (ii) by Eq. (i), we get aligned (f₀+N )^2 f₀^2 & = T+ T T T T & = (f₀+N )^2 f₀^2 -1= ( f₀+N f₀ )^2-1 aligned