I am wondering if anyone can confirm my explanation below ofwhy wavelengths (sou

Question

I am wondering if anyone can confirm my explanation below ofwhy wavelengths (sound) in water (as opposed to air) arelonger: As water is much denser than air, sound travels much faster.Frequency is not altered in either medium (water or air).Therefore, the equation speed = wavelength x frequency proves thatwavelengths increase with speed. Many thanks in advance. Tony I am wondering if anyone can confirm my explanation below ofwhy wavelengths (sound) in water (as opposed to air) arelonger: As water is much denser than air, sound travels much faster.Frequency is not altered in either medium (water or air).Therefore, the equation speed = wavelength x frequency proves thatwavelengths increase with speed. Many thanks in advance. Tony

Explanation / Answer

As water is much denser than air, sound travels much faster.Frequency is not altered in either medium (water or air).Therefore, the equation speed = wavelength x frequency proves thatwavelengths increase with speed.
what you wrote is correct and holds good with help of followingequation.
as speed of sound in water =K/d
where k is bulk modulus of water
speed of sound in air =p/d
where =ratio of specific heats
and p is the pressure of air or any gas in which sound wave ismoving.
if we account for density which is in the denominator densityof air will be less.
but when we consider numerator K the bulk modulus of water is somany times more than p of air.
hence speed of sound is more in water than in air.
as a result we are getting longer wavelengths in water .
as frequency remains constant in any medium.
which is more than p
of air

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