If the slope is $s$ , wave velocity is $v_{w}$ and particle velocity of $v_{p}$ then

v_{p} = - s v_{w}

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v_{p} = \frac{v_{w}}{s}

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v_{p} = s v_{w}

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v_{p} = \frac{- v_{w}}{s}

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Solution

The correct option is A $v_{p} = s v_{w}$
The slope of a particle in a wave is given by the ratio of the particle velocity and the wave velocity at that instant.
Therefore, $s = \frac{v_{p}}{v_{w}}$
or, $v_{p} = s v_{w}$

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