A pipe opened at both ends produces a note of frequency f1. When the pipe is kept with (3/4)th of its ength in water, it produces a note of frequency f2. The ratio (f1/f2) is

Question

A pipe opened at both ends produces a note of frequency f1. When the pipe is kept with (3/4)th of its ength in water, it produces a note of frequency f2. The ratio (f1/f2) is (A) (3/4) (B) (4/3) (C) (1/2) (D) 2

Tardigrade Admin · Accepted Answer

For open pipe f1 = (v/2l) and for closed pipe f2 = (v/4 × big((l)4 big))=(v/l) = 2f1 ⇒ (f1/f2)=(1/2)

Q. A pipe opened at both ends produces a note of frequency $f_{1} .$ When the pipe is kept with $\frac{3}{4}$ th of its ength in water, it produces a note of frequency $f_{2} .$ The ratio $\frac{f _{1}}{f _{2}}$ is

$\frac{3}{4}$

$\frac{4}{3}$

$\frac{1}{2}$

2

For open pipe $f_{1} = \frac{v}{2 l}$ and for closed pipe
$f_{2} = \frac{v}{4 \times ( \frac{l}{4} )} = \frac{v}{l} = 2 f_{1}$
$\Rightarrow \frac{f _{1}}{f _{2}} = \frac{1}{2}$

Q. A pipe opened at both ends produces a note of frequency f1​. When the pipe is kept with 43​th of its ength in water, it produces a note of frequency f2​. The ratio f2​f1​​ is

43​

34​

21​

2

For open pipe f1​=2lv​ and for closed pipe f2​=4×(4l​)v​=lv​=2f1​ ⇒f2​f1​​=21​

Q. A pipe opened at both ends produces a note of frequency $f_{1} .$ When the pipe is kept with $\frac{3}{4}$ th of its ength in water, it produces a note of frequency $f_{2} .$ The ratio $\frac{f _{1}}{f _{2}}$ is

$\frac{3}{4}$

$\frac{4}{3}$

$\frac{1}{2}$

For open pipe $f_{1} = \frac{v}{2 l}$ and for closed pipe
$f_{2} = \frac{v}{4 \times ( \frac{l}{4} )} = \frac{v}{l} = 2 f_{1}$
$\Rightarrow \frac{f _{1}}{f _{2}} = \frac{1}{2}$