A wave travelling along the x -axis is described by the equation y ( x , t ) = 0.005 cos ( αx − βt ) . If the wavelength and the time period of the wave are 0.08 m and 2.0 s , respectively, then α and

Question

A wave travelling along the x -axis is described by the equation y ( x , t ) = 0.005 cos ( αx − βt ) . If the wavelength and the time period of the wave are 0.08 m and 2.0 s , respectively, then α and β in appropriate units are

TestHub · Accepted Answer

y = 0.005 cos ( αx − β t ) comparing the equation with the standard form, ​ y = A cos [ ( λ x ​ − T t ​ ) 2 π ] 2 π / λ = α and 2 π / T = β α = 2 π /0.08 = 25.00 π β = π ​

Physics - Wave on String Question with Solution | TestHub

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