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In a YDSE 16 fringes are observed in a certain segment of the screen when light of wave length 700 nm is used. If the wave length of light changed to 400 nm, the number of fringes observed in the same segment of the screen would be ______.

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answer is 28.

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Detailed Solution

$\frac{n_{1} D λ_{1}}{d} = \frac{n_{2} D λ_{2}}{d} \frac{n_{2}}{n_{1}} = \frac{λ_{1}}{λ_{2}} \Rightarrow n_{2} = \frac{700}{400} \times 16 = 28$

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