Q.

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.

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answer is 0.500.

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Detailed Solution

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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