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 2m away. The distance between the fist dark fringes on either side of the central bright fringe is

Options

A. 1.2 cm
B. 1.2 mm
C. 2.4 cm
D. 2.4 mm

Answer

D

Explanation

`x=(lambda D)/(d)=(600xx10^(-9)xx2)/(1xx10^(-3))=12xx10^(-4)m`
Distance between first minima on either side of central maximum `=2x=24xx10^(-4)m=2.4 mm`.