When a string of length ' l ' is divided into three segments of length l₁, l₂ and l₃ . The fundamental frequencies of three segments are n ₁, n ₂ and n ₃ respectively. The original fundamental frequency ' n ' of the string is

Step-by-step solution

The fundamental frequency of a string is given by Given: l=l₁+l₂+l₃ ... (i) n = 1 2 l T m n 1 l or n l= k l₁= k n ₁ , l₂= k n ₂ and l₃= k n 3 ... (ii) Original length l= k n ... (iii) Putting eq (ii) and (iii) into eq (i) k n = k n ₁ + k n ₂ + k n ₃ 1 n = 1 n₁ + 1 n₂ + 1 n₃