Deduce an expression for the speed of longitudinal wave in a gas.

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The speed of a longitudinal wave is defined in the same was as the speed of transverse waves: Wave speed Wave speed is the distance a wave travels per unit time. Quantity: Wave speed (v) Unit name: speed Unit: m⋅s−1 The distance between two successive compressions is 1 wavelength,...
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The speed of a longitudinal wave is defined in the same was as the speed of transverse waves: Wave speed Wave speed is the distance a wave travels per unit time. Quantity: Wave speed (v) Unit name: speed Unit:m⋅s−1 The distance between two successive compressions is 1 wavelength,λλ. Thus in a time of 1 period, the wave will travel 1 wavelength in distance. Thus the speed of the wave,vv, is: v=distance travelledtime taken=λTv=distance travelledtime taken=λT However,f=1Tf=1T. Therefore, we can also write: v=λT=λ⋅1T=λ⋅fv=λT=λ⋅1T=λ⋅f We call this equation thewave equation. To summarise, we have thatv=λ⋅fv=λ⋅fwhere v=v=speed inm⋅s−1m·s−1 λ=λ=wavelength inmm f=f=frequency inHz read less
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