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Questions  

Two waves having equations
     x1=asin(ωt+φ1),x2=asin(ωt+φ2)
If in the resultant wave the frequency and amplitude remain equal to those of superimposing waves. Then phase difference between them is 

a
π6
b
2π3
c
π4
d
π3

detailed solution

Correct option is B

Superposition of waves does not alter the frequency of resultant wave and resultant amplitude ⇒a2=a2+a2+2a2cosφ=2a2(1+cosφ)⇒cosφ=−1/2=cos2π/3∴φ=2π/3

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