Question

if source of a sound produce 500 compression and 500 rarefraction in air in 25 sec find the frequency of sound produced

Answer 1

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Answer 2

Answer:

A source of sound produces 500 compressions  and 500 rarefactions in the 25s then the frequency of sound $f=20Hz$

Explanation:

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

• 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 $t=25s$

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