1.

The displacement y (in cm ) produced by a simple harmonic wave is `y=(10)/(pi) sin (2000 pi t -(pi x)/(17))` . The periodic time and maximum velocity of the particles in the medium will respectively beA. `10^(-3) s and 330 m//s`B. `10^(-3)s` and 200 m/sC. `10^(-4)s` and 20 m/sD. `10^(-2) s` and 2000 m/s

Answer» Correct Answer - B
`y = (10)/(pi) sin (2000 pi t - (pi)/(17) x)`
`omega = 2000 pi`
`2pi n = 2000 pi`
`n = 10000`
`T = (1)/(n) = (1)/(1000) = 10^(-3)s`
`v = (omega)/(k) = (2000pi)/((pi)/(17)) = 34000 cm//s`
`v = 340 m//s`


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