NEET 2022 — Physics solution

NEET2022Physics

In a Young's double slit experiment, a student observes 8 fringes in a certain segment of screen when a monochromatic light of 600 nm wavelength is used. If the wavelength of light is changed to 400 nm, then the number of fringes he would observe in the same region of the screen is :

A
8
B
9
C
12
D
6

Solution

The position of the $n$ -th bright fringe is $y = nλ \frac{D}{d}$ .

For the same physical segment, $nλ$ is constant, so $n_{1} λ_{1} = n_{2} λ_{2}$ .

$8 \times 600 = n_{2} \times 400 \Rightarrow n_{2} = 12$ .

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