When an open pipe is closed from one end then the third overtone of the closed pipe is higher in frequency by 150 Hz than the second overtone of an open pipe. The fundamental frequency of the open-end pipe will be

Question

When an open pipe is closed from one end then the third overtone of the closed pipe is higher in frequency by 150 Hz than the second overtone of an open pipe. The fundamental frequency of the open-end pipe will be (A) 75Hz (B) 150 Hz (C) 225 Hz (D) 300 Hz

Tardigrade Admin · Accepted Answer

Let f0=(v0/2 L) be the fundamental frequency of the open pipe ∴ is second overtone is 3f0=(3 v0/2 L) Let f=(v0/4 L) be the fundamental frequency of close pipe. And third overtone of the organ pipe closed at one end only is, (f3)c l o s e d =(7/4) (v0/L) As given (7 v0/4 L)-(3 v0/2 L)=150 ((7/4) - (6/4)) (v0/L)=150 ∴ (v0/4 L)=150 (v0/2 L )= 300 Hz

Q. When an open pipe is closed from one end then the third overtone of the closed pipe is higher in frequency by $150 Hz$ than the second overtone of an open pipe. The fundamental frequency of the open-end pipe will be

$75 Hz$

$150 Hz$

$225 Hz$

$300 Hz$

Q. When an open pipe is closed from one end then the third overtone of the closed pipe is higher in frequency by 150Hz than the second overtone of an open pipe. The fundamental frequency of the open-end pipe will be

75Hz

150Hz

225Hz

300Hz

Q. When an open pipe is closed from one end then the third overtone of the closed pipe is higher in frequency by $150 Hz$ than the second overtone of an open pipe. The fundamental frequency of the open-end pipe will be

$75 Hz$

$150 Hz$

$225 Hz$

$300 Hz$