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Q.

In the young’s double slit experiment a point source of $λ = 5000 \overset{\circ}{A}$ is placed slightly off the central axis as shown in the figure. If 70^th order maximum is formed at P, the value of n is.

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answer is 5.

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Detailed Solution

Question Image

The path difference is,

$Δ x = ({SS}_{2} + S_{2} P) - ({SS}_{1} + S_{1} P)$

$= {dsinθ}_{1} + {dsinθ}_{2}$

$∴ Δx = \frac{y_{1} d}{D_{1}} + \frac{y_{2} d}{D_{2}} = 70 (λ)$

$\frac{10^{- 3} \times 10 \times 10^{- 3}}{1} + \frac{n \times 10^{- 3} \times 10 \times 10^{- 3}}{2} = 70 (5 \times 10^{- 7})$

On solving we get n=5.

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In the young’s double slit experiment a point source of λ=5000A∘ is placed slightly off the central axis as shown in the figure. If 70th order maximum is formed at P, the value of n is.