Question

Given that sound travels in air at $340m/s$, find the wavelength of the waves in air produced by a $20kHz$ sound source. If the same source is put in a water tank, what would be the wavelength of the sound waves in water? Speed of sound in water $=1,480m/s$.

Answer 1

Given, (In air)

Velocity $V=340m/s$

Frequency $f=20,000Hz$

Wavelegth $\lambda =?$

$V=f.\lambda$

$\lambda =\frac{V}{F}=\frac{340}{20,000}=0.017Hz$

Also, Given (in Water)

Velocity, $V=1480m/s$

Frequency$f=20,000Hz$

wavelength, $\lambda =?$

$V=F.\lambda$

$\lambda =\frac{V}{F}=\frac{1480}{20,000}=0.074Hz$