First slide

Young's double slit Experiment

Question

In Young’s double slit experiment, if slit separation is equal to $10 λ$ where $λ$ is wavelength of light used). How many bright fringes are expected (visible) on the screen ?

Moderate

A

3
B

21
C

22
D

25

Solution

For bright fringe $d \sin θ = n λ$
Where n = 0, 1, 2, 3, …..
$\begin{array}{l} ∴ \sin θ = \frac{n λ}{d} = \frac{n λ}{10 λ} = \frac{n}{10} \\ N o w \sin θ \leq 1 \Rightarrow \frac{n}{10} \leq 1 \Rightarrow n \leq 10 \\ ∴ N u m b e r o f b r i g h t f r i n g e s \leq (2 \times 10 + 1) = 21 \end{array}$

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