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`)

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

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

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

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

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The correct Answer is:

At P, `Deltax= ((8d)xx3d)/D`. For `2^(nd)` maxima, `Deltax=2lambdaimplies (24d^(2))/D=2lambdaimplies lambda=(12d^(2))/D`

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