The equation y = asin(wt- kx) represents a sound wave travelling along thex direction, Whas physical interpretation of the quantities a, y, t, wand k? Deduce whether the wave is travelling in the positive or negative x direction. f a = 2.0 x 10-7m, w = 8 x 10's- and k = 25m-, calculate: (a.) The speed of the wave, and

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Exercise 1:

Answer (a), (b), (c) & (d)

Exercise 1
The equation y = asin(wt - kx) represents a sound wave travelling along thex direction Whas
physical interpretation of the quantities a, y,t,wand k? Deduce whether the wave is travelling ie
positive or negative x direction.
If a = 2.0 x 10-7m, w = 8x 10 s- and k = 25m, calculate:
%3D
(a.) The speed of the wave, and
(b.) The maximum speed of a particle of the medium disturbed by the wave.
(c.) What is the equation of the reflected wave produced when such a wave strikes a rigid boundary
normally?
(d.) By considering the interference of the two waves, show that the resulting displacement is a
stationary wave and deduce the distance between successive nodes.
Transcribed Image Text:Exercise 1 The equation y = asin(wt - kx) represents a sound wave travelling along thex direction Whas physical interpretation of the quantities a, y,t,wand k? Deduce whether the wave is travelling ie positive or negative x direction. If a = 2.0 x 10-7m, w = 8x 10 s- and k = 25m, calculate: %3D (a.) The speed of the wave, and (b.) The maximum speed of a particle of the medium disturbed by the wave. (c.) What is the equation of the reflected wave produced when such a wave strikes a rigid boundary normally? (d.) By considering the interference of the two waves, show that the resulting displacement is a stationary wave and deduce the distance between successive nodes.
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