(C) The given frequencies are $100 \ Hz$,$300 \ Hz$,and $500 \ Hz$. These frequencies follow the ratio $1:3:5$. For a pipe closed at one end,the allow

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One end is open and the other end is closed

(C) The given frequencies are $100 \ Hz$,$300 \ Hz$,and $500 \ Hz$. These frequencies follow the ratio $1:3:5$. For a pipe closed at one end,the allowed frequencies are given by $f_n = n \cdot f_1$,where $n = 1, 3, 5, \dots$ (odd harmonics only). Since the observed frequencies are odd multiples of the fundamental frequency $(100 \ Hz)$,the pipe must be closed at one end and open at the other.

Class 11 Physics Waves and Sound Longitudinal Stationary Waves (Organ Pipes) and Resonance Tube

Easy

The fundamental frequency of a pipe is $100 \ Hz$ and the next two frequencies are $300 \ Hz$ and $500 \ Hz$. Then:

A
Pipe is open at both the ends
B
Pipe is closed at both the ends
C
One end is open and the other end is closed
D
None of the above

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Class 11

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Waves and Sound

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Longitudinal Stationary Waves (Organ Pipes) and Resonance Tube

The end correction of a resonance column is $1 \, cm$. If the shortest length resonating with the tuning fork is $10 \, cm$,the next resonating length should be ..... $cm$.

MediumJEE MAIN 2018

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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:

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$A$ tube closed at one end and containing air is excited. It produces the fundamental note of frequency $512 \ Hz$. If the same tube is open at both ends,the fundamental frequency that can be produced is .... $Hz$.

Easy

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$A$ resonating air column shows resonance with a tuning fork of frequency $256 \, Hz$ at column lengths $33.4 \, cm$ and $101.8 \, cm$. The speed of sound in air is ...... $ms^{-1}$

Medium

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For a certain organ pipe,three successive resonance frequencies are observed at $425 \, Hz$,$595 \, Hz$,and $765 \, Hz$ respectively. If the speed of sound in air is $340 \, m/s$,then the length of the pipe is ..... $m$.

Difficult

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The fundamental frequency of a pipe is $100 \ Hz$ and the next two frequencies are $300 \ Hz$ and $500 \ Hz$. Then:

Similar Questions

The end correction of a resonance column is $1 \, cm$. If the shortest length resonating with the tuning fork is $10 \, cm$,the next resonating length should be ..... $cm$.

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:

$A$ tube closed at one end and containing air is excited. It produces the fundamental note of frequency $512 \ Hz$. If the same tube is open at both ends,the fundamental frequency that can be produced is .... $Hz$.

$A$ resonating air column shows resonance with a tuning fork of frequency $256 \, Hz$ at column lengths $33.4 \, cm$ and $101.8 \, cm$. The speed of sound in air is ...... $ms^{-1}$

For a certain organ pipe,three successive resonance frequencies are observed at $425 \, Hz$,$595 \, Hz$,and $765 \, Hz$ respectively. If the speed of sound in air is $340 \, m/s$,then the length of the pipe is ..... $m$.

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