Since, the wave is a plane travelling wave, therefore, intensity at every point will be the same.
Since, initial phase of particles at x = 0 is zero and the wave is travelling along positive x direction, therefore, equation of the wave will be of the form
Solving equations (2) and (3), v = 500ms-1
Since, the wave is travelling along positive x-direction, therefore, phase difference between particles at points (1m, 1m, 1m) and (2m, 2m, 2m) is due to difference between their x coordinates only
Since, due to propagation of the wave, shear strain is produced in the medium, therefore, the wave is a plane transverse wave.