First slide

Young's double slit Experiment

Question

A beam of light consisting of two wavelengths 650 nm and 520 nm is used to illuminate the slit of a Young's double slit experiment. Then the order of the bright fringe of the longer wavelength that coincide with a bright fringe of the shorter wavelength at the least distance from the central maximum is

Easy

A

1
B

2
C

3
D

4

Solution

${nβ}_{1} = (n + 1) β_{2}$
$\Rightarrow \frac{n \times 650 \times 10^{- 19} D}{d} = \frac{(n + 1) \times 520 \times 10^{- 19} \times D}{d}$
$\Rightarrow n = 4$

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