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Consider the optical system shown in fig...

Consider the optical system shown in figure. The point source of ligth S is having wavelength equal to `lambda`. The light is reaching screen only after reflection. For point P to be socond maxima, the value of `lambda` would be (`D gt gt d` and ` d gt gt lambda`)

A

`(12 d^(2))/(D)`

B

`(6 d^(2))/(D)`

C

`(3 d^(2))/(D)`

D

`(24 d^(2))/(D)`

Text Solution

Verified by Experts

The correct Answer is:
a
At P, `Delta x = ((8d) xx 3d)/(D)`
For 2nd maxima,
`Delta x = 2 lambda`
`implies (24 d^(2))/(D) = 2 lambda`
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