During propagation of a plane progressive mechanical wave ..........

Options

A. all the paricles are vibrating in the same phase.
B. amplitudes of all the particles are equal.
C. particles of the medium executes S.H.M.
D. wave velocity depends upon the nature of the medium.

Answer

A, B, C

Explanation

Above figure shows that at a given instant, phases of different particles are different. (Because they all have different displacements). Hence, option (A) is false.
In case of progressive wave like above, each particle undergoes same magnitude of maximum displacement. Thus, they all have same amplitudes. Hence option (B) is true.
Given wave shape is sinusoidal which indicates motion of disturbance of simple harmonic type. Hence, all particles perform S.H.M. about their respective equilibrium positions. Thus, option (C) is true.
Velocity of wave in a given medium depends on two properties (i) inertia (ii) elasticity which ultimately depend on the type of medium. Hence, option (D) is true.