In a double slit interference experiment, the separation between the slits is 1.0mm, the wavelength of light used is $5.0 × 10^{-7}m$ and the distance of the screen from the slits is 1.0m.
- Find the distance of the centre of the first minimum from the centre of the central maximum.
- How many bright fringes are formed in one centimeter width on the screen?
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Given that, $d = 1mm = 10^{-3}m, D = 1m.$
So, fringe with $=\frac{\text{D}\lambda}{\text{d}}=0.5\text{mm}.$
So, fringe with $=\frac{\text{D}\lambda}{\text{d}}=0.5\text{mm}.$
- So, distance of centre of first minimum from centre of central maximum $=\frac{0.5}{2}\text{mm}=0.25\text{mm}$
- No. of fringes $\frac{10}{0.5}=20.$
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