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Q.

In a Young’s double slit experiment, 16 fringes are observed to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If the wavelength of light is changed to 400 nm, number of fringes observed in the same segment of the screen is given by

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answer is 24.

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Detailed Solution

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Fringe width, $ω = \frac{16 λ_{1} D}{d} = \frac{k λ_{2} D}{d} \Rightarrow k = \frac{16 \times 600}{400} = 24$

Hence the number of fringes observed in the same segment of the screen = 24

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