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14. A sound wave travels at a speed of 339 ms. If its wavelength is 1.5 cm,
what is the frequency of the wave? Will it be audible?
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GIVEN :-
- Speed of sound wave , v = 339 m/s.
- wavelength of sound wave , λ = 1.5 cm.
TO FIND :-
- The frequency of the wave.
SOLUTION :-
Since , the speed of the sound wave in m/s , so we have to convert the wavelength of sound wave into m.
∵ 1 m = 100 cm.
→ λ = 1.5 cm
→ λ = 1.5/100 m
→ λ = 0.015 m
As we know that, Frequency = speed of sound/Wavelength.
→ Frequency = speed of sound(v) /Wavelength (λ).
→ 339/0.015
→ 339 × 1000/15
→ 339000/15
→ 22600
As we know that, S.I unit of frequency is Hertz (Hz) therefore the frequency of wave will be in Hz.
→ Frequency = 22600 Hz.
As we know that, the normal audible range for human is 20 Hz to 20k Hz So , the frequency of the wave is to 22600 Hz therefore it is not audible.
Hence the frequency of the wave is 22600 Heartz and it will not audible.
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