Which of the following is are true about progressive waves (i)  No particle of the medium is completely at rest (ii) Energy is confined to a region (iii) There is a continuous change of phase from one particle to next (iv) The disturbance which produces wave is confined to the region where it is produced

Which of the following is are true about progressive waves (i)  No particle of the medium is completely at rest (ii) Energy is confined to a region (iii) There is a continuous change of phase from one particle to next (iv) The disturbance which produces wave is confined to the region where it is produced Correct Answer (i) & (iii)

CONCEPT: 

  • The wave which travels in the medium without change the amplitude in the same direction in the medium is known as a progressive wave.
  • Standing waves are those waves that oscillate in a medium with the same amplitude without moving out of the medium.
  • The table below shows the difference between the standing waves and progressive wave

Progressive waves

Stationary waves

Each particle in the medium executes SHM motion about them with the same amplitude

The particle at the node doesn’t execute SHM motion and all the other particles execute SHM.

The disturbance which produces the wave moves in the same direction without changing the velocity  

The disturbances which produce the waves are confined to a particular region

The phase of each particle changes continuously

The particles between the two successive nodes vibrate in the same phase, but there is a phase change for the next pair of particles

There is energy flow across every plane along the direction of propagation of the wave  

 

The energy flow is confined to a region

Since the waves are continuously moving no particle in the medium is at rest

Since waves are confined to a region the particles at the nodes will be at rest

EXPLANATION:

  • The wave which travels in the medium without change the amplitude in the same direction in the medium is known as a progressive wave.
  • The progressive wave can represent using the equation 

⇒ y = A Sin(kx - ω t+ ϕ )​

  • By inspecting the table it clear that only option (i) and (iii) are the correct or the options which matched with characteristics of a progressive wave.
  • Statement (ii) and (iv) are characteristics of the standing wave. Hence, option 3 is the answer

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