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Q.

Two waves of same frequency and same amplitude from two monochromatic sources are allowed to superpose at a certain point. If in one case, the phase difference is 0 and in other case it is π/2, then the ratio of the intensities in the two cases will be

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a

2 : 1

b

None of the above

c

1 : 1

d

4 : 1

answer is B.

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Detailed Solution

When phase difference is 0, intensity is maximum, i.e. Imax.

When   ϕ=π2   or   ϕ2=π4,  the intensity will be

I=Imaxcos2ϕ2=Imax2

∴   The desired ratio is 2 : 1.

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