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(B) In a longitudinal wave,the displacement-position graph represents the displacement of particles from their mean position. Compression occurs where

Vedclass · Accepted Answer

$k$

Vedclass · Answer

(B) In a longitudinal wave,the displacement-position graph represents the displacement of particles from their mean position. Compression occurs where the density of particles is maximum,which corresponds to the points where the slope of the displacement-position graph changes from positive to negative (i.e.,the particles are moving towards each other). For a wave travelling in the negative $x$-direction,the condition for maximum compression is that the displacement $y$ is zero and the slope $\frac{dy}{dx}$ is positive. Looking at the graph,at point $c$,the displacement is zero and the slope is negative. At point $g$,the displacement is zero and the slope is positive. At point $k$,the displacement is zero and the slope is positive. Therefore,points $g$ and $k$ represent regions of maximum compression. Since only $k$ is provided in the options,the correct answer is $k$.

The figure represents the instantaneous displacement-position graph of a longitudinal harmonic wave travelling along the negative $x$-axis. Identify the points of maximum compression.

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