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Q.

Two waves having equations     x1=asin(ω t+φ1),x2=asin (ω t+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=−1/2=cos2π/3∴φ=2π/3
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