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A wave of amplitude 0.30 m interferes with a second wave of amplitude 0.20 m traveling in the same direction. what are (a) the largest and (b) the smallest resultant amplitudes that can occur, and under what conditions will these maxima and minima arise?

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skyluke89

(a) 0.50 m

Explanation:

The largest amplitude occurs when there is constructive interference, which happens when two waves meet in phase with each other. When this occurs, the amplitude of the resultant wave is equal to the sum of the individual amplitudes; therefore, in this case, the resultant amplitude would be:

[tex]A=0.30 m+0.20 m=0.50 m[/tex]


(b) 0.10 m

Explanation:

The smallest amplitude occurs when there is destructive interference, which happens when two waves meet in anti-phase with each other. When this occurs, the amplitude of the resultant wave is equal to the difference of the individual amplitudes; therefore, in this case, the resultant amplitude would be:

[tex]A=0.30 m-0.20 m=0.10 m[/tex]

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