An organ pipe open at both ends has fundamental frequency
$ f $ in air. If the pipe is dipped vertically in water such that $ 1/4^{th} $ of its length is inside water, then the fundamental frequency of the air column in it is
Let $L$ be the length of the pipe. Then its fundamental frequency $f$ is $f=\frac{v}{2L} \dots(i)$ where $v$ is the speed of sound in air
If the pipe is dipped vertically in water such that $(1/4)^{th}$ of its length is inside the water, then it becomes a closed organ pipe of length $(3/4)L$ as shown in figure above Now the fundamental frequency of air column is $f'=\frac{V}{4\left(\frac{3}{4}L\right)}=\frac{v}{3L}$ $\frac{2}{3}\left(\frac{v}{2L}\right)$ $=\frac{2}{3}f $ using (i))
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.
Types of Waves:
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)
Light waves
S-wave earthquake waves
Stringed instruments
Torsion wave
The high point of a transverse wave is a crest. The low part is a trough.
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.
