A tuning fork of frequency 340, Hz is vibrate | vedclass

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

Question

(A) The wavelength $\lambda$ of the sound wave is given by $\lambda = \frac{v}{f} = \frac{340\, m/s}{340\, Hz} = 1\, m = 100\, cm$.The resonant length

Vedclass · Accepted Answer

$45$

Vedclass · Answer

(A) The wavelength $\lambda$ of the sound wave is given by $\lambda = \frac{v}{f} = \frac{340\, m/s}{340\, Hz} = 1\, m = 100\, cm$.The resonant lengths $l$ for a tube closed at one end are given by $l = \frac{(2n-1)\lambda}{4}$ for $n = 1, 2, 3, \dots$.For $n=1$,$l_1 = \frac{\lambda}{4} = \frac{100\, cm}{4} = 25\, cm$.For $n=2$,$l_2 = \frac{3\lambda}{4} = \frac{3 	imes 100\, cm}{4} = 75\, cm$.For $n=3$,$l_3 = \frac{5\lambda}{4} = \frac{5 	imes 100\, cm}{4} = 125\, cm$.Since the tube height is $120\, cm$,only $l_1 = 25\, cm$ and $l_2 = 75\, cm$ are possible.To find the minimum height of water,we need the maximum possible air column length for resonance,which is $l_2 = 75\, cm$.Minimum height of water $= 	ext{Total height} - l_2 = 120\, cm - 75\, cm = 45\, cm$.

$A$ tuning fork of frequency $340\, Hz$ is vibrated just above a tube of $120\, cm$ height. Water is poured slowly into the tube. What is the minimum height of water necessary for resonance? (Speed of sound in air $= 340\, m/s$)

Similar Questions

The ratio of the frequencies of the fundamental harmonic produced by an open pipe to that of a closed pipe having the same length is

$A$ closed organ pipe has length $l$. The air in it is vibrating in the $3^{rd}$ overtone with a maximum displacement amplitude $a$. The displacement amplitude at a distance $l/7$ from the closed end of the pipe is:

The fundamental note produced by a closed organ pipe is of frequency $f$. The fundamental note produced by an open organ pipe of the same length will be of frequency .... $(f)$

In the case of a closed organ pipe,which harmonic is the $p^{th}$ overtone?

An open pipe resonates with a tuning fork of frequency $500 \ Hz$. It is observed that two successive nodes are formed at distances $16 \ cm$ and $46 \ cm$ from the open end. The speed of sound in air in the pipe is ..... $m/s$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module