Question:
An air column in a pipe, which is closed at one end, will be in resonance with a vibrating tuning fork of frequency $264\, Hz$ if the length of the column in cm is (velocity of sound = $330\, m/s$)
An air column in a pipe, which is closed at one end, will be in resonance with a vibrating tuning fork of frequency $264\, Hz$ if the length of the column in cm is (velocity of sound = $330\, m/s$)
Updated On: Jul 2, 2022
- 125
- 93.75
- 62.5
- 187.5
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The Correct Option is B
Solution and Explanation
Given : Frequency of tuning fork, n = 264 Hz
Length of column L = ?
For closed organ pipe
$n = \frac{v}{4l}$
$\Rightarrow l = \frac{v}{4n} = \frac{330}{4\times264} = 0.3125$
or, $l= 0.3125 \times 100 = 31.25 \,cm$
In case of closed organ pipe only odd harmonics are possible.
Therefore value of $I$ will be $\left(2n - 1\right) l $ Hence option $\left(b\right) i.e. \,3 \times 31.25 = 93.75\, cm$ is correct.
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Concepts Used:
Waves
Waves are a disturbance through which the energy travels from one point to another. Most acquainted are surface waves that tour on the water, but sound, mild, and the movement of subatomic particles all exhibit wavelike properties. inside the most effective waves, the disturbance oscillates periodically (see periodic movement) with a set frequency and wavelength.
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Transverse Waves -
Waves in which the medium moves at right angles to the direction of the wave.
Examples of transverse waves:
- Water waves (ripples of gravity waves, not sound through water)
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- Stringed instruments
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Longitudinal Wave -
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