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Which of the following statements are true 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

Answer:

The correct options are

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

d) there is no net transfer of energy across any plane

e) there are some particles which are always at rest

Explanation:

Standing waves have the following characteristics:
(i) The amplitude of each particle is constant. It varies depending on the particle.
(ii) At the same time, the particles cross their mean position.
(iii)Each cycle, the energy alternates between entire potential and kinetic states. There is no net energy transfer.
(iv) Some particles are always in a state of rest. They’re referred to as nodes.