For a sine wave passing through a medium, let y be the displacement of a particle, v be its velocity and a be its acceleration :-

Options

A. y, V and a are always in the samephase
B. y and a are always in opposite phase
C. Phase difference between y and v is `pi//2`
D. Phase difference between v and a is `pi//2`

Answer

B, C, D

Explanation

By the standard wave equation `y = A sin(omegat -kx)` we can differentiate it twice to obtain v and a and bythe expressions we canseethat options(B), (C)and (D) are correct.