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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 Two monochromatic waves, each of amplitude a, have random phase difference between them. When these superpose, then the amplitude of resultant wave is given bya) root2 ab) 2ac) 4ad) 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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