Harmonic vs. Stationary Waves – Rankers Physics
Topic: Waves
Subtopic: Standing Wave in String and Organ Pipe

Harmonic vs. Stationary Waves


Assertion (A): In a harmonic wave of a given frequency all particles have the same amplitude but different phases at a given time.
Reason (R): In a stationary wave, all particles have the same phase at a given instant but have different amplitudes.  
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution:

In a harmonic traveling wave, all particles oscillate with the same amplitude but their phases vary with position. So, (A) is true. In a stationary wave, particles between two successive nodes vibrate in phase, but particles on either side of a node are \(180^\circ\) out of phase. Their amplitudes also vary with position. So, (R) is false.

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