Given below are two statements. One is labelled as Assertion (A) and the other is labelled as reason (R).
Assertion : In a wave, particle velocity vary w.r.t time, while the wave velocity is independent of time.
Reason : For propagation of mechanical wave, the medium must have the properties of elasticity and inertia.
In the light of the given statements, choose the correct answer from the options given.

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Both A and R are true and R is the correct explanation of A.

Both A and R are true but R is not the correct explanation of A.

A is false but R is true

A is true but R is false

answer is B.

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Detailed Solution

wave velocity: $v_{w} = \frac{ω}{k}$

particle velocity: $v_{p} = \frac{d x}{d t}$

In order to propagate the waves that are mechanical, the inclusion of the properties like inertia and elasticity has been considered essential. The medium needs to be isotropic in order to have the propagation of mechanical waves. That means the properties of the medium need to be equally distributed in all directions.

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