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Q.

In Young's double slit experiment, white light is used. The separation between the slits is $b$ . The screen is at a distance $d$ $(d > > b)$ from the slits. Some wavelengths are missing exactly in front of one slit. These wavelengths are given by $\frac{b^{2}}{n d} . T h e n v a l u e o f n m a y b e$

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a

2

b

7

c

1

d

4

answer is A, C.

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Detailed Solution

For dark or missing wavelength

$y_{n} = \frac{(2 n - 1) d λ}{2 b} o r \frac{b}{2} = (\frac{2 n - 1}{2}) \frac{d}{b} λ o r λ = \frac{b^{2}}{(2 n - 1) d}$

For n=1,2 $λ = \frac{b^{2}}{d}, \frac{b^{2}}{3 d}$ , $\frac{b^{2}}{5 d}, \frac{b^{2}}{7 d} e t c$

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