A harmonic longitudinal wave propagating down a tube filled with a compressible gas has the form s(x,t)= s_m cos (kx -$ \omega $t).Its velocity can be obtained from A)$ \omega $/k B)k/$ \omega $ C)k D)$ \omega $ E)$ \omega $k

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Quizplus · Accepted Answer

The velocity of a harmonic longitudinal wave propagating down a tube filled with a compressible gas is given by v = ω/k, where ω is the angular frequency and k is the wave number. In this case, ω = 2πf and k = 2π/λ, where f is the frequency and λ is the wavelength. Substituting these expressions into the equation for v, we get v = fλ.

A Harmonic Longitudinal Wave Propagating Down a Tube Filled with a Compressible