Find the amplitude of the resultant wave produced due to interference of two waves given as y1=A1 sin wt y2= A 2 sin (wt + phi )
Answers
Answer:
the maximum value of amplitude shd be 1 or 7
Explanation:
The principle of superposition states that, when two or more waves of the same type cross at some point, the resultant displacement at that point is equal to the sum of the displacements due to each individual wave.
If two identical waves are traveling in the same direction, with the same frequency, wavelength and amplitude; BUT differ in phase the waves add together. When φ = 0 (crest to crest and trough to trough), then cos (φ /2) = 1. resultant wave is A1 + A2 = 2A. The waves are “in phase.”
When two or more waves arrive at the same point, they superimpose themselves on one another. More specifically, the disturbances of waves are superimposed when they come together—a phenomenon called superposition. Each disturbance corresponds to a force, and forces add.
path difference is the difference in path traversed by the two waves , measured in terms of wavelength of the associated wave. It has a direct relation with phase difference. Phase difference decides the nature of interference pattern but phase difference is found out by path difference.
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