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Question
A sound signal of 128 vibrations per second has a wavelength of 2.7 m. Calculate the speed with which the wave travels.
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Solution
We have to find the velocity of the sound wave.
Frequency is number of vibrations produced per second.
Given: Frequency f = 128 Hz
Wavelength λ = 2.7 m
We know the relation between velocity, frequency, and wavelength ν = f × λ,
where ν is the velocity, f the frequency, and λ the wavelength.
So,
ν = (128) × (2.7) m/s
= 345.6 m/s
Therefore, velocity of sound is 346 m/s .
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Numerical problems:
A Sound wave travels at a speed of 344 ms-1. If the wavelength is 1.5 cm, what is the frequency of the Wave? Will it be audible?
