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Question
A body vibrating with a time-period of `1/256` s produces a sound wave which travels in air with a velocity of 350 m/s. Calculate the wavelength.
Solution
We have to find the wavelength of the sound wave.
Given: Velocity of sound wave ν = 350 m/s
We have to first find the frequency of oscillation.
Time period (T) = `1/256` s
We know the relation between frequency and time period `f = 1/T`,
where f is the frequency and T the time period.
So,
`f = 256/1` Hz
= 256 Hz
Now we can calculate wavelength as `lambda = v/f`,
where ν is the velocity, f the frequency, and λ the wavelength.
So,
`lambda = 350/256` m
= 1.367 m
Therefore, velocity of sound is 1.37 m.
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