Deduce the relation between wavelength, frequency and speed of sound.

Since sound is a wave, we can use the correct definitions of the words to determine the relationship between the wavelength, frequency, and speed of a wave. The difference between the wavelength and frequency is the number of cycles per second of the wave, whereas the wavelength is simply the distance covered by the wave in one period of its cycle.

Formula used: $\text{ Speed }=\frac{\text{ Distance }}{\text{ time }}$
Frequency of wave $=\frac{1}{\text{ Time period of wave }}$
Wavelength = Distance traveled by the wave in one time period.

As shown in the suggestion, we may resolve this issue by applying the definitions of a wave's wavelength and frequency to determine how they relate to speed.

Wavelength = Distance traveled by the wave in one time period$\text{Wavelength = Distance travelled by the wave in one time period}$ --(1)
The length of a body's wavelength is simply the distance covered by a wave's point in a single instant of time.
The frequency is also how many cycles the wave completes in a second. It is the opposite of the passing of time (the time taken by the wave to complete one cycle). As a result, mathematically.

Frequency of wave $=\frac{1}{\text{ Time period of wave }}-\left(2\right)$
The distance covered by a body in a given amount of time is its speed. 

Hence,
Speed $=\frac{\text{ Distance }}{\text{ time }}-\left(3\right)$
The distance a wave travels in one time period divided by the duration of one time period is considered to represent the speed of the wave. Consequently, by using (3), we can state that the traveledtraveledrelation, traveledSpeed of the wave $=\frac{\text{ Wavelength }}{\text{ Time period }}-\left(4\right)$
Putting (2) in (4), we get,
Speed of wave = Wavelength $\times$ Frequency
As a result, we have the necessary relationship between the sound wave's speed, wavelength, and frequency.

Hence, the correct answer is option A.