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A plane progressive wave is given by x=(...

A plane progressive wave is given by `x=(40 cm) cos(50pit-0.02piy)` where `y` is in cm and `t` in `s`. The particle velocity at `y=25m` in time `t=(1)/(200)s` will be `10pisqrt(n) m//s`. What is the value of `n`.

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To solve the problem, we need to find the particle velocity of the given wave function at a specific position and time. The wave function is given by: \[ x = 40 \, \text{cm} \cos(50\pi t - 0.02\pi y) \] ### Step 1: Identify the wave function parameters The wave function can be expressed in the form: \[ A \cos(\omega t - k y) \] ...
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