Two identical sinusoidal waves with wave lengths of $$3.00$$ m travel in the same direction at a speed of $$2.00$$ $$m/s$$. The second wave originates from the same point as the first, but at a later time. The amplitude of the resultant wave is the same as that of each of the two initial waves. Determine the minimum possible time interval (in$$ $$sec$$$$) between the starting moments of the two waves.

Question

Infinity Learn · Accepted Answer

$$2A0cos$$⁡ϕ$$2=A0$$ So, ϕ$$2=$$$$cos$$−$$1$$⁡$$12=60$$∘$$=$$π$$3Thus$$, the phase difference is ϕ$$=120$$∘$$=2$$$$π$$$$3This$$ phase difference results if the time delay is , $$T3=13f=$$λ$$3vTime$$ delay $$=3m3(2m/s)=0.500s$$

Superposition of waves

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Superposition of waves

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2A0cos⁡ϕ2=A0 So, ϕ2=cos−1⁡12=60∘=π3Thus, the phase difference is ϕ=120∘=2π3This phase difference results if the time delay is , T3=13f=λ3vTime delay =3m3(2m/s)=0.500s

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