In the double-slit experiment, the distance of the first dark fringe from the ce

Question

In the double-slit experiment, the distance of the first dark fringe from the central line is 1mm. The distance of the

2^{n d}

bright fringe from the central line is

Options:

A . 6mm

B . 4mm

C . 12mm

D . 16mm

Answer: Option B
:
B

\begin{matrix} B r i g h t b a n d & D a r k b a n d X_{n} = \frac{n λ D}{d} & X_{n} = (2 n - 1) \frac{λ D}{2 d} \end{matrix}

n_{B} = 2

n_{D} = 1

\frac{X_{2 B}}{X_{1 D}} = \frac{n_{B} \times 2}{(2 n_{D} - 1)} = \frac{2 \times 2}{2 - 1}

X_{2 B} = 4 X_{1 D}

= 4 \times 1 m m

= 4 m m

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