The longitudinal displacement of a mass element in a medium as a sound wave passes through it is given by s = s_m cos (kx - ωt).Consider a sound wave of frequency 440 Hz and wavelength 0.75m.If s_m = 12 µm, what is the displacement of an element of air located at x = 1.2 m at time t = 0.11 s? A)3.7 µm B)4.9 µm C)6.0 µm D)8.2 µm E)12 µm

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The displacement s is calculated using the formula s = s_m cos (kx - ωt). Here, k = 2π/λ and ω = 2πf. Substituting the given values, k = 2π/0.75 and ω = 2π(440). At x = 1.2 m and t = 0.11 s, calculate the argument of the cosine and then find s.

The Longitudinal Displacement of a Mass Element in a Medium