The following statements are given for a stationary wave:
$(a)$ Every particle has a fixed amplitude which is different from the amplitude of its nearest particle.
$(b)$ All the particles cross their mean position at the same time.
$(c)$ All the particles are oscillating with the same amplitude.
$(d)$ There is no net transfer of energy across any plane.
$(e)$ There are some particles which are always at rest.
Which of the following is correct?

• A
  $(a), (b), (c), (d), (e)$
• B
  $(a), (d), (e)$
• C
  $(b), (c), (d), (e)$
• D
  $(a), (b), (e)$