Two waves of equal amplitude A𝐴, and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is
Question
Two waves of equal amplitude A and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is
Solution
The amplitude of the resultant wave, when two waves of equal amplitude A and equal frequency travel in the same direction in a medium, is 2A.
Here's the step by step explanation:
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When two waves of equal amplitude and frequency travel in the same direction, they undergo constructive interference.
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Constructive interference occurs when the crest of one wave aligns with the crest of another wave, resulting in an increase in amplitude.
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In this case, since the amplitudes of the two waves are equal (A), the amplitude of the resultant wave will be the sum of the two amplitudes.
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Therefore, the amplitude of the resultant wave is A + A = 2A.
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