n₁ is the frequency of the pipe closed at one end and n₂ is the frequency of the pipe open at both ends. If both are joined end to end, find the fundamental frequency of closed pipe so formed

Step-by-step solution

Frequency of closed pipe, n₁= v 4 l₁ l₁= v 4 n₁ Frequency of open pipe, n₂= v 2 l₁ l₂= v 2 n₂ when both pipe are joined then length of closed pipe array c l=l₁+l₂ v 4 n = v 4 n₁ + v 2 n₂ array or 1 2 n = 1 2 n₁ + 1 n₂ or 1 2 n = n₂+2 n₁ 2 n₁ n₂ or n= n₁ n₂ n₂+2 n₁