When a plane wave travels in a medium, the displace- ments of particles are given by y = 0.01 sin [27 (2t – 0.01x)] where x and y are in metre and t in second. Find (a) the amplitude, wavelength, wave velocity and frequency of the wave, (b) the phase difference between two positions of the same particle in a time interval of 0.25s and (c) the phase difference at a given instant of time between two particles 50 m apart.

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When a plane wave travels in a medium, the displace-
ments of particles are given by
y = 0.01 sin [27n (2t – 0.01x)]
where x and y are in metre and t in second. Find
(a) the amplitude, wavelength, wave velocity and
frequency of the wave,
(b) the phase difference between two positions of
the same particle in a time interval of 0.25s and
(c) the phase difference at a given instant of time
between two particles 50 m apart.
Transcribed Image Text:When a plane wave travels in a medium, the displace- ments of particles are given by y = 0.01 sin [27n (2t – 0.01x)] where x and y are in metre and t in second. Find (a) the amplitude, wavelength, wave velocity and frequency of the wave, (b) the phase difference between two positions of the same particle in a time interval of 0.25s and (c) the phase difference at a given instant of time between two particles 50 m apart.
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