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Q.

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 2.0s, respectively, then α  and β  in appropriate units are

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a

α=0.08π,β=2.0π

b

α=0.04π,β=1.0π

c

α=12.50π,β=π2.0

d

α=25.00π,  β=π

answer is D.

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Detailed Solution

α=2π0.08=25.00π,  β=2π2=π
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