Q.

Sound wave is travelling along positive x-direction. Displacement (y) of particles from their mean positions at position x-is shown in figure. Choose the correct alternative (s)

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a

Change in pressure at D is zero

b

Particle located at D has zero velocity

c

Particles located near C are under compression

d

Particle located at E has its velocity in negative x-direction

answer is A, B, C, D.

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Detailed Solution

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Velocity of particle is given by vp=vdydx
Here, v is wave speed and dy/dx the slope.
At point E slope is positive, therefore, vp will be along negative x-direction. 

Similarly, slope at D is zero. so the particle located at D has zero velocity.

Therefore, Excess pressure dP=Bdydx
At C slope is negative. Therefore, dP is positive i.e. particles located near C are under compression. 

At point D, slope is zero i.e., dP = 0

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