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In interference, two individual amplitud...

In interference, two individual amplitudes are `A_0` each and the
intensity is `I_0` each. Find resultant amplitude and intensity at a point, where:
(a) phase difference between two waves is `60^@`.
(b) path difference between two waves is `lambda/3`.

Text Solution

Verified by Experts

(a) Substituting `phi= 60^@` in the equations,
`A = 2A_0 "cos" phi/2` and `I = 4I_0 "cos"^2 phi/2`
We get, `A= sqrt (3)A_0` and `I = 3I_0`
(b) Given , `Delta x = lambda/3`
` :. Phi or Delta phi = (2pi)/lambda.Delta x `
` = (2pi)/lambda(lambda/3)= (2pi)/3` or `120^@`
Now, substituting `phi=120^@` in the above two equations, we get
` A = A_0` and `I = I_0 ` .
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