Mark out the correct statement (S) e.r.t. wave speed and particle velocity for a transverse travelling mechanical wave on a string.

Options

A. The wave speed is same for the entire wave, while particle velocity is different for different points at a particular instant.
B. wave speed depends upon property of the medium but not on the wave properties.
C. wave speed depends upon both the properties of the medium and on the properties of waves
D. particle velocity depends upon properties of the wave and not on medium properties.

Answer

a., b., d.

Explanation

it is a know 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. The particle velocity is given by
`v_(p)=(dely)/(delt)=-Aomega `cos(kx-omegat)`
where symbole have their usual meanings. it is clear from above expression that `v_(p)` depends upon amplitude and frequency of wave which are wave properties and are having different value for different particle at a particular instant.