Question

How do you calculate the speed of sound on a day when the 1500hz frequency has a wavelength of 0.221m?

Answer 1

An acoustic wave or a sound wave is a pressure disturbance that travels through a medium by means of particle to particle interaction. Together the particle becomes disturbed, it exerts a force on subsequent adjacent particles, thus disturbing that particle from rest and transporting the energy through the medium. like all wave, the speed of an acoustic or a sound wave refers to how fast the disturbance is taking from particle to particle

Complete answer:
The speed of sound is defined because the dynamic propagation of sound waves. This relies on the characteristics of the medium through which the propagation takes place. Speed of sound is employed for describing the speed of sound waves in an elastic medium
We have been given that
Frequency of sound (f) = 1500hz
Wavelength $\lambda =0.221\text{ }m$
We know that speed of sound can be given as
$v=f\lambda$
Putting the values in above equation, we get
$v=(1500)(0.221)$
$v=331.5m{{s}^{-1}}$
Hence, we can say that the speed of sound on a day when the 1500hz frequency has a wavelength of 0.221m is $331.5m{{s}^{-1}}$.
The temperature of the medium and therefore the sound waves are directly proportional to every other. Therefore, because the temperature increases, the speed of sound increases.

Note:
For sound waves to travel, there's a requirement of medium and density of the medium is taken into account to be one among the factors on which the speed of sound depends. When the medium is dense, the molecules within the medium are closely packed which suggests that the sound travels faster. Therefore, the speed of sound increases because the density of the medium increases.