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The particle displacement in a wave is given by
\( \mathrm{P} \) \( y=0.2 \times 10^{-5} \cos (500 t-0.025 x) \)

W where the distances are measured in meters and time in seconds. Now
(a) wave velocity is \( 2 \times 10^{4} \mathrm{~ms}^{-1} \)
(b) particle velocity is \( 2 \times 10^{4} \mathrm{~ms}^{-1} \)
(c) initial phase difference is \( \frac{\pi}{2} \)
(d) wavelength of the wave is \( (80 \pi) \mathrm{m} \)
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