Question

As an admirer of Thomas Young, you perform a double-slit experiment in his honor. You set your slits 1.13 mm apart and position your screen 3.75 m from the slits. Although Young had to struggle to achieve a monochromatic light beam of sufficient intensity, you simply turn on a laser with a wavelength of 647 nm . How far on the screen are the first bright fringe and the second dark fringe from the central bright fringe

Answer 1

Step-by-step explanation:

slit separation d = 1.13 x 10⁻³ m

screen distance D = 3.75 m

wavelength of light λ = 647 x 10⁻⁹ m

Distance of first bright fringe = fringe width = λ D / d

λ D / d = 647 x 10⁻⁹ x 3.75 m / 1.13 x 10⁻³ m

= 2.147 x 10⁻³ m

= 2.147 mm .

Distance of first bright fringe = 2.147 mm .

Distance of second dark fringe = 1.5 x fringe width

= 1.5 x 2.147 mm .

= 3.22 mm .