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

Question

Rituraj Tiwari · Answer

(A net )^2= (A1)^2+ (A2)^2 + 2(A1A2)cosX....

So,

(A net )^2= (A1)^2+ (A2)^2

Here since source is coherent.... A1 = A2 = A....

So ,

(A net )^2= (A)^2+ (A)^2

(A net )^2= 2(A)^2

And therefore...

A net ( or resultant amplitude) = (2)^1/2 *A

Option (a) is therefore correct.

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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 by
a) root2 a
b) 2a
c) 4a
d) zero

1 Answers

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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

1 Answers

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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