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 be

Options

A. `10^(-3) s and 330 m//s`
B. `10^(-3)s` and 200 m/s
C. `10^(-4)s` and 20 m/s
D. `10^(-2) s` and 2000 m/s

Answer

B

Explanation

`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`