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Two monochromatic waves, each of amplitude a, have random phase difference between them. When these superpose, then the amplitude of resultant wave is given by a) root2 a b) 2a c) 4a d) zero
(A net )^2= (A1)^2+ (A2)^2 + 2(A1A2)cosX....So,(A net )^2= (A1)^2+ (A2)^2Here since source is coherent.... A1 = A2 = A....So ,(A net )^2= (A)^2+ (A)^2(A net )^2= 2(A)^2And therefore...A net ( or resultant amplitude) = (2)^1/2 *AOption (a) is therefore correct.
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