First slide

Travelling wave

Question

The diagram below shows an instantaneous position of a string as a transverse progressive wave travels along it from left to right
Which one of the following correctly shows the direction of the velocity of the points 1, 2 and 3 on the string

Moderate

A

$\to \to \to$
B

$\to \leftarrow \to$
C

$↓ ↓ ↓$
D

$↓ ↑ ↓$

Solution

Particle velocity $(v_{p}) = - v \times$ Slope of the graph at that point
At point 1 : Slope of the curve is positive, hence particle velocity is negative or downward ( $↓$ )
At point 2 : Slope negative, hence particle velocity is positive or upwards ( $↑$ )
At point 3 : Again slope of the curve is positive, hence particle velocity is negative or downward ( $↓$ )

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