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

Question

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 (A) (n1n2/n2 + 2n1) (B) (n1n2/2n2+n1 ) (C) (n1+2n2 /n2 n1) (D) (2n2+n2 /n2 n1)

Tardigrade Admin · Accepted Answer

Frequency of closed pipe, n1=(v/4l1) ⇒ l1 = (v/4n1) Frequency of open pipe, n2=(v/2l1) ⇒ l2 = (v/2n2) when both pipe are joined then length of closed pipe l = l1 + l2 (v/4n) =(v/4n1)= (v/2n2) or (1/2n) =(1/2n1)= (1/n2) or (1/2n) =(n2 + 2n1/2n1n2) or n =(n1n2/n2 + 2n1)

Q. $n_{1}$ is the frequency of the pipe closed at one end and $n_{2}$ 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

$\frac{n _{1} n _{2}}{n _{2} + 2 n _{1}}$

$\frac{n _{1} n _{2}}{2 n _{2} + n _{1}}$

$\frac{n _{1} + 2 n _{2}}{n _{2} n _{1}}$

$\frac{2 n _{2} + n _{2}}{n _{2} n _{1}}$

Q. 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

n2​+2n1​n1​n2​​

2n2​+n1​n1​n2​​

n2​n1​n1​+2n2​​

n2​n1​2n2​+n2​​

Q. $n_{1}$ is the frequency of the pipe closed at one end and $n_{2}$ 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

$\frac{n _{1} n _{2}}{n _{2} + 2 n _{1}}$

$\frac{n _{1} n _{2}}{2 n _{2} + n _{1}}$

$\frac{n _{1} + 2 n _{2}}{n _{2} n _{1}}$

$\frac{2 n _{2} + n _{2}}{n _{2} n _{1}}$