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In the figure an arrangement of young's ...

In the figure an arrangement of young's double slit experiment is shown. `A` parallel beam of light of wavelength `'lambda'` (in medium `n_(1)`) is incident at an angle `'theta'` as shown. Distance `S_(1)O = S_(2)O.` Point `'O'` is the origin of the coordinate system. The medium on the left and right side of the plane of slits has refractive index `n_(1)` and `n_(2)` respectively. Distance between the slits is `d.` The distance between the screen and the plane of slits is `D.`
Using `D=1m , d =1mm, theta=30^(@), lambda=0.3mm,n_(1)=(4)/(3),n_(2)=(10)/(9),` answer the following

If the intensity due to each light wave at point `'O'` is `I_(0)` then the resultant intensity at point `'O'` will be -

A

`(150)/(sqrrt(154)) cm`

B

`24 cm`

C

`(100)/(sqrt(99)) cm`

D

None of these

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A
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