In YDSE d = 2mm, D = 2m and $λ = 500 n m$ . If intensities of two slits are $I_{0}$ and $9 I_{0}$ then find intensity as $y = \frac{1}{6} m m$

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$4 I_{0}$

$16 I_{0}$

$10 I_{0}$

$7 I_{0}$

answer is A.

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Detailed Solution

$x = \frac{d y}{D} = \frac{2 \times 10^{- 3} \times 1 \times 10^{- 3}}{2 \times 6} = \frac{10^{- 6}}{6} \neq 2 \frac{2 π}{λ} x = \frac{2 π}{5 ω \times 10^{- 9}} \times \frac{10^{- 6}}{6}$

$ϕ = \frac{2 π}{3}$

$I = I_{0} + 9 I_{0} + 2 \sqrt{I_{0} 9 I_{0}} \cos 120^{0}$

$= 10 I_{0} - 3 I_{0} = 7 I_{0}$

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