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  4. Two slits are separated by a distance of 0.5 mm and illuminated with light of wavelength λ = 6000 mathringA. If the screen is placed at 2.5 m from the slits. The distance of the third bright fringe from the centre will be

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Q. Two slits are separated by a distance of 0.5 mm and illuminated with light of wavelength $\lambda$ = 6000 $\mathring{A}$. If the screen is placed at 2.5 m from the slits. The distance of the third bright fringe from the centre will be

AIIMSAIIMS 2017Wave Optics

Solution:

Distance of nth bright fringe from the centre,
$\quad\quad x_{n}=\frac{nD\lambda}{d}$
So,$\quad x_{3}=\frac{3\times2.5\times6000\times10^{-10}}{0.5\times10^{-3}}$
$\quad\quad\quad\quad=9\times10^{-3}\,m=9\,mm$