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Two waves of nearly same amplitude , sam...

Two waves of nearly same amplitude , same frequency travelling with same velocity are superimposing to give phenomenon of interference . If `a_(1)` and `a_(2)` be their respectively amplitudes , `omega` be the frequency for both , `v` be the velocity for both and `Delta phi` is the phase difference between the two waves then ,

A

the resultant intensity varies periodically with time and distance.

B

the resultant intensity with `I_("min")/I_("max") =((a_(1)-a_(2))/(a_(1) + a_(2)))^(2)` is obtained.

C

both the waves must have been travelling in the same direction and must be coherent.

D

`I_(s) = I_(1) + I_(2) + 2sqrt(I_(1) I_(2)) cos (Deltapi)` where constrictive interference is obtained for path differences that are even multiple of `1/2 lambda` and destructive interference is obtained for path differences that are odd multiple of `1/2 lambda`.

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A, B, C, D
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