A cylindrical tube open at both ends has a fu | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) For a cylindrical tube open at both ends with length $L$,the fundamental frequency is given by $f = \frac{v}{2L}$,where $v$ is the speed of sound

Vedclass · Accepted Answer

$\frac{3f}{4}$

Vedclass · Answer

(D) For a cylindrical tube open at both ends with length $L$,the fundamental frequency is given by $f = \frac{v}{2L}$,where $v$ is the speed of sound in air.When the tube is dipped vertically into water such that one-third of its length is submerged,the length of the air column becomes $L' = L - \frac{L}{3} = \frac{2L}{3}$.The tube now acts as a pipe closed at one end (the water surface) and open at the other.For a pipe closed at one end,the fundamental frequency is $f' = \frac{v}{4L'}$.Substituting $L' = \frac{2L}{3}$,we get $f' = \frac{v}{4(2L/3)} = \frac{3v}{8L}$.Since $f = \frac{v}{2L}$,we can write $f' = \frac{3}{4} 	imes \frac{v}{2L} = \frac{3}{4}f$.

$A$ cylindrical tube open at both ends has a fundamental frequency $f$ in air. When the tube is dipped vertically in water so that one-third part of the tube is in water,the fundamental frequency of the air column becomes (neglect end correction).

Similar Questions

The first resonance length of a resonance tube is $40\, cm$ and the second resonance length is $122\, cm$. The third resonance length of the tube will be... $cm$

Explain the formation of stationary waves in a closed pipe and derive the equations for natural frequencies (normal modes).

The frequency of a vibrating air column in a pipe,open at both ends,is $f_1$. When $\frac{3}{4}$ of its length is immersed in water,the frequency of the vibrating air column is $f_2$. The value of $\frac{f_1}{f_2}$ is

In an organ pipe whose one end is at $x = 0$,the pressure is expressed by $p = p_0 \cos \frac{3\pi x}{2} \sin 300\pi t$,where $x$ is in meters and $t$ is in seconds. The organ pipe can be:

Find the fundamental frequency of a closed pipe,if the length of the air column is $42 \, m$. (speed of sound in air $= 332 \, m/s$) (in $, Hz$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module