The displacement, y, at a point, x, at time, t, due to a plane wave travelling in a medium àlóng the direction is given by the expression y = 1.0 x 10-7m Sin(6.6 x 10-3t-20m-1x). Determine: (i.) the velocity of the wave (ii.) the phase of a particle situated 3cm from 0. What is the speed of this particle? (iii.) the phase difference between two particles situated 2cm and 4.2cm from 0. Do these particles vibrate in phase? (iv.) the maximum speed of a particle at 0.

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Answer (i), (ii), (iii) & (iv) 

The displacement, y, at a point, x, at time, t, due to a plane wave travelling in a medium along the x.
direction is given by the expression
y = 1.0 x 10-7m Sin(6.6 x 10-3t-20m-x).
Determine:
(i.) the velocity of the wave
(ii.) the phase of a particle situated 3cm from 0. What is the speed of this particle?
(111.) the phase difference between two particles situated 2cm and 4.2cm from 0. Do these particles
vibrate in phase?
(iv.) the maximum speed of a particle at 0.
Transcribed Image Text:The displacement, y, at a point, x, at time, t, due to a plane wave travelling in a medium along the x. direction is given by the expression y = 1.0 x 10-7m Sin(6.6 x 10-3t-20m-x). Determine: (i.) the velocity of the wave (ii.) the phase of a particle situated 3cm from 0. What is the speed of this particle? (111.) the phase difference between two particles situated 2cm and 4.2cm from 0. Do these particles vibrate in phase? (iv.) the maximum speed of a particle at 0.
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