Question

Sound waves are traveling along positive x-direction. Displacement of particle at any time t is as shown in figure. Select the correct statement:

• A. Particle located at E has its velocity in negative x-direction
• B. particle located at E has zero velocity
• C. Both (a) and (b) are correct
• D. Both (a) and (b) are wrong

Answer 1

The correct option is B particle located at E has zero velocity

$V_p=-v\frac{dy}{dx}=-v\times$ slope of $y-x$ graph

Slope at E is positive hence it will have velocity in negative y direction, while statement says it has velocity in negative x direction. Hence statement is incorrect.

Slope at E is zero hence it has zero velocity.

option a is incorrect and b is correct.