(D) The wavelength $\lambda$ is given by $\lambda = \frac{v}{f} = \frac{336}{400} \,m = 0.84 \,m = 84 \,cm$.For the first resonance,the length of the

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

(D) The wavelength $\lambda$ is given by $\lambda = \frac{v}{f} = \frac{336}{400} \,m = 0.84 \,m = 84 \,cm$.For the first resonance,the length of the air column $\ell_1$ and end correction $e$ satisfy: $\ell_1 + e = \frac{\lambda}{4}$.Substituting the values: $20.0 + e = \frac{84}{4} = 21 \,cm$.Thus,the end correction $e = 21 - 20 = 1 \,cm$.For the third resonance,the length of the air column $\ell_3$ satisfies: $\ell_3 + e = \frac{5\lambda}{4}$.$\ell_3 + 1 = 5 \times 21 = 105 \,cm$.Therefore,$\ell_3 = 105 - 1 = 104 \,cm$.

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

Difficult

In an experiment to determine the velocity of sound in air at room temperature using a resonance tube,the first resonance is observed when the air column has a length of $20.0 \,cm$ for a tuning fork of frequency $400 \,Hz$. The velocity of sound at room temperature is $336 \,ms^{-1}$. The third resonance is observed when the air column has a length of ......... $cm$.

JEE MAIN 2022 All JEE MAIN

A
$103$
B
$100$
C
$110$
D
$104$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Waves and Sound

Subtopic

Longitudinal Stationary Waves (Organ Pipes) and Resonance Tube

Previous Year

JEE MAIN 2022 Paper All JEE MAIN years →

The lengths of the two organ pipes open at both ends are $L$ and $(L+L_1)$. If they are sounded together,the beat frequency will be ($v=$ velocity of sound in air).

MediumMHT CET 2025

View Solution

An organ pipe of length $L$ open at both ends is found to vibrate in its first harmonic when sounded with a tuning fork of $480 \ Hz$. What should be the length of a pipe closed at one end,so that it also vibrates in its first harmonic with the same tuning fork?

Medium

View Solution

Two closed organ pipes,when sounded simultaneously,give $4$ beats per second. If the longer pipe has a length of $1 \ m$,then the length of the shorter pipe will be,... $cm$ $(v = 300 \ m/s)$.

Medium

View Solution

The number of possible natural oscillations of an air column in a pipe closed at one end of length $85 \, cm$ whose frequencies lie below $1250 \, Hz$ are (Velocity of sound $= 340 \, m s^{-1}$)

MediumAIPMT 2014

View Solution

An open organ pipe having fundamental frequency $(n)$ is in unison with a vibrating string. If the tube is dipped in water so that $75 \%$ of the length of the tube is inside the water,then the ratio of the fundamental frequency of the air column of the dipped tube to that of the string will be (Neglect end corrections).

MediumMHT CET 2023

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Similar Questions

The lengths of the two organ pipes open at both ends are $L$ and $(L+L_1)$. If they are sounded together,the beat frequency will be ($v=$ velocity of sound in air).

An organ pipe of length $L$ open at both ends is found to vibrate in its first harmonic when sounded with a tuning fork of $480 \ Hz$. What should be the length of a pipe closed at one end,so that it also vibrates in its first harmonic with the same tuning fork?

Two closed organ pipes,when sounded simultaneously,give $4$ beats per second. If the longer pipe has a length of $1 \ m$,then the length of the shorter pipe will be,... $cm$ $(v = 300 \ m/s)$.

The number of possible natural oscillations of an air column in a pipe closed at one end of length $85 \, cm$ whose frequencies lie below $1250 \, Hz$ are (Velocity of sound $= 340 \, m s^{-1}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module