A beam of light of wavelength 600 ~nm from a distant source falls on a single slit 1 ~mm wide and the resulting diffraction pattern is observed on a screen 2 ~m away. The distance between the first dark fringe on either side of the central bright fringe is

Step-by-step solution

The distance between the central bright fringe and the first dark fringe is given as: aligned y_ nd & = n D d y_ I _ d & = 1 600 10⁻⁶ 2 10⁻⁵ & =1.2 10⁻³=1.2 ~mm aligned The distance between the first dark fringe on either side of the central bright fringe is 2 y_n=2 1.2=2.4 ~mm