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 fringes on either side of the central bright fringe is

Step-by-step solution

Given, wavelength of light beam, aligned &=600 ~nm &=600 10⁻⁹ ~m aligned Distance between slits. d=1 ~mm =10⁻³ ~m Distance between slits and screen, D=2 ~m Distance between first dark fringes from the central bright fringe, 2 = ? As we know, fringe width, = D d aligned &= 600 10⁻⁹ 2 10⁻³ &=1.2 10⁻³ ~m aligned Distance between first dark fringes on either side of central bright fringe (2 )=2 =2 1.2 10⁻³ ~m 2 =2.4 ~mm