10. Explain Doppler’s effect and derive …

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10. Explain Doppler’s effect and derive an expression for apparent frequency when observer is moving and source is stationary.
A travelling harmonic wave on a string is described by y = 5sin (0.010x+6t+Л/4), where x is in cm and t is in second.
(a) What is the displacement and velocity of oscillation of a point at x = 2 cm and t = 2s?
(b) Is the particle velocity equal to the phase velocity?
(c) Locate the points of the string which have the same transverse displacement and velocity as the x = 1cm at t = 2s.
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