Two waves travelling in a medium in the x-direction are represented by , ${y_1} = A\sin \left( {\alpha t - \beta x} \right)$ and ${y_2} = A\cos \left( {\beta x + \alpha t - \pi /4} \right)$ where ${y_1}\;\,\,and\,\,{\rm{ }}{y_2}$ are the displacements of the particles of the medium, t is time, and $\alpha \,and\,\beta $ are constants. The two waves have different

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Two waves travelling in a medium in the x-direction are represented by ,

{y_1} = A\sin \left( {\alpha t - \beta x} \right)

and

{y_2} = A\cos \left( {\beta x + \alpha t - \pi /4} \right)

where

{y_1}\;\,\,and\,\,\mathrm{ }{y_2}

are the displacements of the particles of the medium, t is time, and 

\alpha \,and\,\beta

are constants. The two waves have different

View answer and explanation

Correct option: B

Directions of propagation

Option B (Directions of propagation) is correct. The waves have different signs in front of the x and t terms, indicating opposite directions of propagation.

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