JEE Physics

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Chapter 29

Experiment - Speed Of Sound In Air At Room Temperature Using A Resonance Tube. - all with Video Answers

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Chapter Questions

Problem 2824

A tube, closed at one end and containing air, produces, when excited, the fundamental note of frequency $512 \mathrm{~Hz}$. If the tube is opened at both ends what is the fundamental frequency that can be excited (in $\mathrm{Hz}$ )?
(A) 256
(B) 1024
(C) 128
(D) 512

Narayan Hari

Narayan Hari

Numerade Educator

Problem 2825

An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by $100 \mathrm{~Hz}$ than the fundamental frequency of the open pipe. What is the fundamental frequency of the open pipe?
(A) 240
(B) 200
(C) 300
(D) 480

Narayan Hari

Numerade Educator

Problem 2826

Two vibrating strings of the same material but of lengths Land $2 \mathrm{~L}$ have radii $2 \mathrm{r}$ and $\mathrm{r}$ respectively. They are stretched under the same tension. Both the string vibrate in their fundamental modes. The one of length $\mathrm{L}$ with frequency $\mathrm{U}_{1}$ and the other with frequency $\mathrm{U}_{2}$. What is the ratio $\left(\mathrm{U}_{1} / \mathrm{U}_{2}\right)$ ?
(A) 8
(B) 2
(C) 1
(D) 4

Narayan Hari

Numerade Educator

Problem 2827

A closed organ pipe of length $\mathrm{L}$ and an open organ pipe contain gases of densities $\rho_{1}$ and $\rho_{2}$ respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. What is the length of the open organ pipe?
(A) $\left.(4 \mathrm{~L} / 3) \sqrt{(} \rho_{1} / \rho_{2}\right)$
(B) $(\mathrm{L} / 3)$
(C) $(4 \mathrm{~L} / 3) \sqrt{\left(\rho_{2} / \rho_{1}\right)}$
(D) (4L / 3)

Narayan Hari

Numerade Educator

Problem 2828

An open pipe is in resonance in $2^{\text {nd }}$ harmonic with frequency $\mathrm{f}_{1}$. Now one end of the tube is closed and frequency is increased to $\mathrm{f}_{2}$ such that the resonance again occurs in nth harmonic. Choose the correct option.
(A) $\mathrm{n}=5, \mathrm{f}_{2}=(5 / 4) \mathrm{f}_{1}$
(B) $\mathrm{n}=3, \mathrm{f}_{2}=(3 / 4) \mathrm{f}_{1}$
(C) $\mathrm{n}=5, \mathrm{f}_{2}=(3 / 4) \mathrm{f}_{1}$
(D) $\mathrm{n}=3, \mathrm{f}_{2}=(5 / 4) \mathrm{f}_{1}$

Narayan Hari

Numerade Educator

Problem 2829

A tuning fork of $512 \mathrm{~Hz}$ is used to produce resonance in a resonance tube experiment. The level of water at first resonance is $30.7 \mathrm{~cm}$ and at second resonance is $63.2 \mathrm{~cm}$. What is the error in calculating velocity of sound? Assume the speed of sound $330 \mathrm{~m} / \mathrm{s}$.
(A) $58(\mathrm{~cm} / \mathrm{s})$
(B) $204.1(\mathrm{~cm} / \mathrm{s})$
(C) $280(\mathrm{~cm} / \mathrm{s})$
(D) $110(\mathrm{~cm} / \mathrm{s})$

Narayan Hari

Numerade Educator

Problem 2830

A hollow pipe of length $0.8 \mathrm{~m}$ is closed at one end. At its open end a $0.5 \mathrm{~m}$ long uniform string is vibrating in its second harmonic and it resonates with the fundamentals frequency of the pipe if the tension in the wire is $50 \mathrm{~N}$ and the speed of sound is $320 \mathrm{~ms}^{-1}$, what is the mass of the string.
(A) $20 \mathrm{~g}$
(B) $5 \mathrm{~g}$
(C) $40 \mathrm{~g}$
(D) $10 \mathrm{~g}$

Narayan Hari

Numerade Educator

Problem 2831

An air column in a pipe, which is closed at one end will be in resonance with a vibrating tuning fork of frequency $264 \mathrm{~Hz}$, What is the length of the column if it is in $\mathrm{cm} ?$ (speed of sound in $\operatorname{air}=330 \mathrm{~m} / \mathrm{s}$ )
(A) $62.50$
(B) $15.62$
(C) 125
(D) $93.75$

Narayan Hari

Numerade Educator

Problem 2832

In a resonance tube experiment, the first resonance is obtained for $10 \mathrm{~cm}$ of air column and the second for 32 $\mathrm{cm}$. The end correction for this apparatus is equal to $\ldots \ldots \ldots$
(A) $1.9 \mathrm{~cm}$
(B) $0.5 \mathrm{~cm}$
(C) $2 \mathrm{~cm}$
(D) $1.0 \mathrm{~cm}$

Narayan Hari

Numerade Educator

Problem 2833

Column I shows four systems, each of the same length $\mathrm{L}$, for producing standing waves. The lowest possible natural frequency of a system is called its fundamentals frequency. Whose wave length is denotes as $\lambda_{f}$. Match each system with statements given in column II describing the nature and wave length of the standing waves.

Khoobchandra Agrawal

Khoobchandra Agrawal

Numerade Educator