Question

How is progressive wave different from a stationary wave ? Derive a progressive wave equation. plz help me​

Answer 1

Explanation:

In a standing wave, the motion of the particles is non- transferrable but in a progressive wave, the motion is easily transferred to the particles in the forward direction. For stationary waves, the energy is confined within the medium while progressive wave permits propagation of energy through the medium.

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Answer 2

Explanation:

In the case of a stationary wave, the energy is not propagated onwards because each particle possesses its own characteristic vibration. But in a progressive wave, the reason for energy being transmitted from one point to another is the transfer of vibration within the molecules of the wave.

The particles of the stationary waves, that are present at the node are completely at rest while others rest for a very short time span. As against, all the particles of progressive waves are in continuous motion and thus do not rest permanently.

Some specific velocity is associated with each particle and during motion, at the mean position, the particles attain their maximum velocity simultaneously in standing wave. While in the case of a progressive wave, all the wave particles move with the same maximum velocity at the mean position.

In a standing wave, the motion of the particles is non- transferrable but in a progressive wave, the motion is easily transferred to the particles in the forward direction.

For stationary waves, the energy is confined within the medium while progressive wave permits propagation of energy through the medium.

Stationary waves do not undergo forward motion and due to this its crests and troughs blink at the initial position. While this is not the case for progressive wave because the wave undergoes forward motion and thus the crests and troughs are also in motion.

In a stationary wave, the amplitude of each particle is 0 at the node and maximal at the antinode thus is different. However, in the progressive wave, the amplitude of each particle is the same but there is significant variation in phase.

Conclusion

So, the above discussion concludes, the stationary and progressive waves are different waves with their own characteristics. The progressive waves possess traveling nature thus is also known as a traveling wave. While the stationary wave is the resultant wave of superposition of two traveling waves of similar amplitude and frequency that are traveling in opposite directions.