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Q.

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

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a

π6

b

2π3

c

π4

d

π3

answer is B.

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Detailed Solution

Superposition of waves does not alter the frequency of resultant wave and resultant amplitude⇒a2 = a2+a2+2a2cosφ = 2a2(1+cosϕ)⇒cosφ = -12 = cos 2π3  ∴φ = 2π3
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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