Question

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 $\sqrt{3}$ times of amplitude of individual motions The phase difference between the two motions is _______(degree)

Answer 1

The correct answer is 60
Aresultant ​=A12​+A22​+2A1​A2​cosϕ​
⇒3​A=A2+A2+2A2cosϕ​
⇒3A2=2A2+2A2cosϕ
⇒cosϕ=21​
∴ϕ=60∘
∴ Phase difference =60 degree