Mark the correct statement(s) with respect to wave speed and particle velocity for a transverse travelling mechanical wave on a string

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The wave speed is same for the entire wave while particle velocity is different for different particles at a particular instant.

Wave speed depends on property of the medium but not on the wave properties

Wave speed depends on both properties of the medium and on the properties of wave

Particle velocity depends on properties of the wave and not on medium properties.

answer is A, B, D.

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Detailed Solution

It is a known fact as well as experimentally and analytically verified that wave speed depends on the properties of the medium and is same for the entire wave.

If the wave is represented by the equation y = A sin (kx - $ω t), t h e n$

the particle velocity is given by $v_{p} = \frac{\partial y}{\partial t} = - A ω \cos (k x - ω t)$

where symbols have their usual meaning. It is clear from above expression that $v_{p}$ depends on amplitude and frequency of wave which are wave properties and is having different values for different particles at a particular instant.

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