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Let S1 and S2 be the two slits in Young'...

Let `S_1 and S_2` be the two slits in Young's double slit experiment. If central maxima is observed at P and angle `S_1 P S_2 = theta`, (`theta` is small) find the y-coordinates of the 3rd minima assuming the origin at the central maxima. (`lambda` = wavelength of monochromatic light used).`

A

`+-(2lambda)/theta`

B

`+-(5lambda)/(2 theta)`

C

`+- 5/2 lambda theta`

D

`+-2 lambda theta `

Text Solution

Verified by Experts

The correct Answer is:
B

`because theta = d/D`

Third minima,
`y=+- 2.5 omega = +- 2.5 ((lambdaD)/d) = +-(2.5lambda)/theta` .
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