This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Identify the given values and convert them to SI units. The wavelength of light is = 600 nm. = 600 × 10^-9 m The distance between the slits is d = 0.5 mm. d = 0.5 × 10^-3 m The distance of the screen from the slits is D = 1.5 m. D = 1.5 m Step 2: Use the formula for fringe width in Young's double-slit experiment. The fringe width, often denoted as or w, is given by the formula: = ( D)/(d) Step 3: Substitute the values into the formula and calculate the fringe width. = (600 × 10^-9 m) × (1.5 m)(0.5 × 10^-3 m) = 900 × 10^-9 m^20.5 × 10^-3 m = (900)/(0.5) × 10^-9 × 10^3 m = 1800 × 10^-6 m = 1.8 × 10^-3 m The fringe width can also be expressed in millimeters: = 1.8 mm The fringe width is 1.8 mm.