Practicing Success
A beam of light consisting of two wavelengths 5000 Å and 6000 Å is used to obtain interference fringes in Young's double slit experiment. The least distance from the central maxima where the bright fringes due to both wavelengths coincide, will be: (If separation between slits = 1 mm & separation between slits & screen is 1 m) |
4 mm 3 mm 2 mm 1 mm |
3 mm |
The bright fringes due to both wavelengths coincide then $y_1 = y_2$ Let $m^{th}$ bright fringe of wavelength $\lambda_1$ coicides with $n^{th}$ bright fringe of wavenegth $\lambda_2$ $ y_1 = \frac{m\lambda_1 D}{d} , y_2 = \frac{n\lambda_2 D}{d}$ $ \Rightarrow m\lambda_1 = n\lambda_2$ $\Rightarrow m:n = 6:5$ $\Rightarrow \text{ Minimum value of m is 6}$ $ \Rightarrow y = \frac{6\times 5\times 10^{-7}\times 1}{10^{-3}} = 3mm$ |