how does velocity of sound depend on frequency
Answers
Answer:
Imagine you have a mass on a spring. If the spring is loose and soft, the mass will bob up and down more slowly - if the spring is strong and tight, the mass will bob up and down faster.
The chemical bonds between atoms in a material behave like the springs in this situation - when sound hits one side of an object, it wiggles around that first layer of atoms / molecules. That stretches or compresses the chemical bond springs, and then the atoms / molecules on the other end of those bonds wiggles. That process repeats from layer to layer - that’s basically how sound moves through a solid object.
“Stronger / tighter” chemical bonds are like stronger springs, and the wiggling motion is faster. Solids have strong, tight bonds, so the effect moves through the material more quickly. Air molecules aren’t even truly “bonded” to each other, but they still exert forces on one another when they come near together, so the same sort of thing occurs. But the effect is softer and looser, so the sound travels more slowly.
The product of frequency and wavelength always equals the speed, but in most materials the frequency doesn’t SET the speed. The speed is set by the mass of the atoms / molecules corresponding to the “mass” in the spring mass system, and by the strength of the bonds / forces between them, which corresponds to the “spring” in the spring mass system. The wavelength is whatever it needs to be for that frequency to get that spring.
So the speed depends only on material properties, and not on the frequency you apply.
Answer:
Therefore, the relationship between f and s is inverse.
The higher the frequency, the shorter the wavelength of a sound wave. The speed of sound can change when sound travels from one medium to another. Since, v = f lambda, the higher speed of a sound, the greater its wavelength for a given frequency.
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