Practicing Success
In a young's double slit experiment, two slits are illuminated by a mixture of two wavelengths 1200nm and 1000nm . At 6.0 mm from the common central bright fringe on a screen 2 m away from the slits, a bright fringe of one interference pattern coincides with the bright fringe of other. Distance between the slits should be |
1.0 mm 1.5 mm 2.0 mm 2.5 mm |
2.0 mm |
$ x = n\lambda \frac{D}{d} = (n+1)\lambda'\frac{D}{d}$ $1200 n= 1000 (n+1)$ $6n = 5n + 5 \Rightarrow n = 5$ $ x = 5\lambda \frac{D}{d} $ $ d = 5\lambda \frac{D}{x} = 5 \times 1200\times 10^{-9} \frac{2}{6\times 10^{-3}} = 2.0 mm$ |