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In the adjacent diagram, CP represents a...

In the adjacent diagram, CP represents a wavefront and AO & BP, the corresponding two rays. Find the condition on `theta` for constructive interference at P between the ray BP and reflected ray OP.

A

`costheta =3lambda`/2d

B

`costheta = lambda/4d`

C

`sectheta - costheta=lambda/d`

D

`sectheta-costheta=4lambda/d`

Text Solution

Verified by Experts

The correct Answer is:
B
For constructive interference
`Deltaphi=(dsectheta+dsectheta cos 2theta)(2pi)/lambda+pi=2npi`
`costheta=((2n-1)lambda)/4d`
Hence (B) is correct.
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