When two sound waves travel in the same direction in a medium, the displacements of a particle located at ' x ' at time ' t ' is given by : y 1 = 0.05 cos ( 0.50 π x − 100 π t

Question

When two sound waves travel in the same direction in a medium, the displacements of a particle located at ' x ' at time ' t ' is given by : ​ y 1 ​ = 0.05 cos ( 0.50 π x − 100 π t ) y 2 ​ = 0.05 cos ( 0.46 π x − 92 π t ) ​ where y 1 ​ , y 2 ​ and x are in meters and t in seconds. The speed of sound in the medium is :

TestHub · Accepted Answer

Standard equation y ( x , t ) = A cos ( V ω ​ x − ω t ) From any of the displacement equation Say y 1 ​ V ω ​ = 0.50 π and ω = 100 π ∴ V 100 π ​ = 0.5 π ∴ V = 0.5 π 100 π ​ = 200 m / s

Physics - Sound Wave Question with Solution | TestHub

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