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The equation of a plane progressive wave travelling along positive direction of `x-`axis is `y=r sin [(2pit)/(T)-(2pix)/(lambda)]` where `y=` displacement of particle at `(x,t),r=` amplitude of vibratio of particle, `T=` time period of wave motion, `lambda=` wavelength of wave ,` x=` starting distance of wave from the origin. Velocity of wave, `upsilon=vlambda=(lambda)/(T)=` constant. Acceleration of wave, `a=0`. Velocity of particle at time `t=(dy)/(dt)` Acceleration of particle at time `t=(d^(2)y)/(dt^(2))` A harmonic wave travelling along positive direction of x axis is represented by `y=0.25xx10^(-3)sin (500t-0.025x)` where `x` and `y` are in metre and `t` is in second The amplitude of vibration of particle isA. `0.25xx10^(-3)cm`B. `0.25xx10^(-3)m`C. `500m`D. `0.025m` |
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Answer» Correct Answer - B Compare the given equation with the standard form `y=rsin ((2pit)/(T)-(2pix)/(lambda))` Amplitude of vibration of particle, `r=0.25xx10^(-3)m` |
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