When two waves of the same frequency superimpose, the resultant amplitude is given by
Aresultant=A12+A22+2A1A2cosϕ
⇒3A=A2+A2+2A2cosϕ
⇒3A2=2A2+2A2cosϕ
⇒cosϕ=21
∴ϕ=60∘
∴Phase difference =60 degree
Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the 3 times of amplitude of individual motions. The phase difference between the two motions is _____ (degree)
Held on 25 Jul 2022 · Verified 6 Jul 2026.
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