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 |
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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