A plane progressive simple harmonic wave is moving along positive x-direction with speed v = 20 m/s. If amplitude of medium particles is 10 cm and time period of oscillation of medium particle is 2 s, then equation of the plane progressive wave may be (at t = 0, x = 0, y = 5 cm) [x is m and t is in s]
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velocity of wave in positive x direction, v = 20m/s
amplitude of wave, A = 10cm = 0.1m
time period of oscillation, T = 2 sec
so, wavelength = velocity of wave/frequency
= velocity of wave × time period
= 20 × 2 = 40m
now, standard equation of plane progressive wave is
at t = 0, x = 0 => y = 5 cm or 0.05m
so,
or,
or,
so, equation of plane progressive wave may be
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