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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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A


At `P,Deltax=((8d)xx3d)/(D)` for `2^(nd)` maxima `Deltax=2lamdaimplies(24d^(2))/(D)=2lamda=(12d^(2))/(D)`
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Knowledge Check

  • Choose the most appropriate option. Two coherent point sources S_(1) and S_(2) vibrating in phase emit light of wavelength lambda . The separation between them is 2lambda . The light is collected ona screen placed at a distance D gt gt lambda from the slit S_(1) as shown. The minimum distance, so that intensity at P is equal to intensity at O.

    A
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    B
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