Question:
The fundamental frequency of a closed pipe is $220 \,Hz$. If $\frac{1}{4}$ of the pipe is filled with water, the frequency of the first overtone of the pipe now is
The fundamental frequency of a closed pipe is $220 \,Hz$. If $\frac{1}{4}$ of the pipe is filled with water, the frequency of the first overtone of the pipe now is
Updated On: Jul 5, 2022
- 220 Hz
- 440 Hz
- 880 Hz
- 1760 Hz
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The Correct Option is C
Solution and Explanation
Fundamental frequency of closed pipe
$n=\frac{v}{4 l}=220 Hz $
$\Rightarrow v=220 \times 4 l$
If $\frac{1}{4}$ of the pipe is filled with water then remaining length of air column is $\frac{3 l}{4}$.
Now, fundamental frequency
$=\frac{v}{4\left(\frac{3 l}{4}\right)}=\frac{v}{3 l}$ and
First overtone $=3 \times$ fundamental frequency.
$=3 \times \frac{v}{3 L}=\frac{3 \times 220 \times 4 l}{3 l} $
$=880\, Hz$
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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.
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- Water waves (ripples of gravity waves, not sound through water)
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Longitudinal Wave -
A longitudinal wave has the movement of the particles in the medium in the same dimension as the direction of movement of the wave.
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- Sound waves
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