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Speed of Sound

A sound wave ...

Question

A sound wave of frequency $80$ Hz is traveling with speed $320$ m/s .
(a) find the change in phase at a given position in $400$ ms interval .

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Solution

Here, frequency $(n) = 80 H z$
speed $(v) = 320 m / s$
$λ = \frac{v}{n} = \frac{320}{80} = 4$
In $400 m s$ , the distance travelled by
particle $= Δ^{} = 320 \times 400 \times 10^{- 3}$
so, phase difference $ϕ = 2 π / λ Δ^{}$
$= \frac{2 π}{320} \times 80 \times 320 \times 400 \times 10^{- 3}$
$= 64 π$

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