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Q.

Two waves of equal amplitude and frequency interfere each other. The ratio of intensity when the two waves arrive in phase to that when they arrive 900 out of phase is

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a

2 : 1

b

2 : 1

c

1 : 1

d

4 : 1

answer is C.

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Detailed Solution

Resultant intensity I=4I0cos2(ϕ/2)

⇒I1I2=cos2ϕ1/2cos2ϕ2/2=cos20cos2(90/2)=21

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Two waves of equal amplitude and frequency interfere each other. The ratio of intensity when the two waves arrive in phase to that when they arrive 900 out of phase is