A wire under tension 225 N produces 6 beats per second when it is tuned with a fork. When the tension changes to 256 N , it is again tuned with the same tuning fork, the number of beats remain unchanged. The frequency of tuning fork will be

Step-by-step solution

Let n be frequency of tuning fork. Let n ₁, n ₂ be frequency of wire at tension T ₁, ~T ₂ respectively. aligned n & ~T ...(i) n ₁ & = n -6 ...(ii) n ₂ & = n +6...(iii) aligned array ll & n ₁ n ₂ = T ₁ ~T ₂ = 225 256 = 15 16 & n -6 n +6 = 15 16 ...from(i), (ii),(iii) & 16 n -96=15 n +90 & n =186 ~Hz array