Two identical water waves arrive at the same location with a phase difference of

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

Two identical water waves arrive at the same location with a phase difference of 3π rad3\pi\,\text{rad}. Which statement correctly characterizes the resulting interference? (a) Beats will be produced, because the constant phase difference causes the amplitude to vary in time. (b) Completely constructive, because 3π3\pi is a multiple of 2π2\pi. (c) Completely destructive, because 3π3\pi is an odd multiple of π\pi. (d) Partially destructive, since cos⁡ ⁣(3π2)=12\cos\!\left(\dfrac{3\pi}{2}\right)=\dfrac12, giving a non-zero resultant amplitude.

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