A progressive wave having amplitude `5 m` and wavelength `3m`. If the maximum average velocity of particle in half time period is `5 m//s` and waves is moving in the positive x-direction then find which may be the correct equation (s) of the wave ? [wave `x` in meter].A. `5 sin ((2pi)/(5)t-(2pi)/(3)x)`B. `4 sin((pit)/(2)-(2pi)/(3))+3 cos ((pi t)/(2)-(2pi)/(3)x)`C. `5 sin ((pi t)/(2)-(2pi)/(3)x)`D. `3 cos((2pi)/(5)t-(2pi)/(3)x)-4 sin ((2pi)/(5)t-(2pi)/(3)x)`

A progressive wave having amplitude `5 m` and wavelength `3m`. If the

1.	A progressive wave having amplitude `5 m` and wavelength `3m`. If the maximum average velocity of particle in half time period is `5 m//s` and waves is moving in the positive x-direction then find which may be the correct equation (s) of the wave ? [wave `x` in meter].A. `5 sin ((2pi)/(5)t-(2pi)/(3)x)`B. `4 sin((pit)/(2)-(2pi)/(3))+3 cos ((pi t)/(2)-(2pi)/(3)x)`C. `5 sin ((pi t)/(2)-(2pi)/(3)x)`D. `3 cos((2pi)/(5)t-(2pi)/(3)x)-4 sin ((2pi)/(5)t-(2pi)/(3)x)`
Answer» Correct Answer - B::C `because lamda = 3 m :. k=(2pi)/(lamda)=(2pi)/(3)` Maximum displacement in half time period `= 2a = 10 m` So maximum average velocity `(10)/(.^(T)//_(2))=5 rArr T=4s rArr omega = (2pi)/(T)=(2pi)/(4)=(pi)/(2)`.

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