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Q. 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 :

NEETNEET 2022Wave Optics

Solution:

$y=(n \lambda)\left(\frac{D}{d}\right)$
$n _{1} \lambda_{1}= n _{2} \lambda_{2}$
$(8) (600 \,nm )= n _{2}(400)$
$n _{2}=12$