Question

A source of sound produces 500 compressions and 500 rarefactions in air in 20 s. Find: ITS wavelenght

Answer 1

Answer:

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Answer 2

Answer:

A source of sound produces 500 compressions  and 500 rarefactions in the 20s, then the wavelength of sound λ$=13.2m$

Explanation:

• In a sound wave, the high-density part is called compressions and rarefactions are the low-density parts of a wave

• The wavelength ( λ )of a sound wave is the distance between any two consecutive compressions or rarefactions
• Frequency of sound wave is the rate of vibrations that is the number of compressions and rarefactions in unit time

                    $f=number of compressions/time$

• For a sound wave moving with speed $v$ and frequency, $f$ the wavelength is given by the formula

                    λ$=v/f$

From the question, we have

the number of compressions and rarefactions $n=500$

one wave contains one compression and rarefaction

so the number of waves produced $=500$

time to produce this many waves $t=20s$

a) frequency of the sound $f=500/20=25Hz$

speed of that sound in air $v=330m/s$

substitute the values in the above equation to get the wavelength

⇒

 λ$=\frac{330}{25}= 13.2m$