Light shines through a single slit whose width is 5.7 10-4 m. A diffraction pattern is formed on a flat screen located 4.0 m away. The distance between the middle of the central bright fringe and the first dark fringe is 3.9 mm. What is the wavelength of the light

Question

Jayson Kirby

Physics

27 January, 02:03

Light shines through a single slit whose width is 5.7 10-4 m. A diffraction pattern is formed on a flat screen located 4.0 m away. The distance between the middle of the central bright fringe and the first dark fringe is 3.9 mm. What is the wavelength of the light

+3

Answers (1)

Know the Answer?

Rodrigo Richards · Answer 1

Answer: 557nm

Explanation:

Visible light has been known to have its wavelengths in the range between 400 to 700 nanometres (nm), or 4*10^-7 to 7*10^-7 m. This wavelength is between infrared and ultraviolet. Infrared has longer wavelengths and while on the other hand ultraviolet has shorter wavelengths. The wavelength of visible light has a frequency of approximately 430 to 750 terahertz (THz).

tanΦ = 0.0039/4 = 9.75*10^-4

Φ = tan^-1 (9.75*10^-4)

Φ = 0.056

λ = (5.7*10^-4) * sin 0.056

λ = 5.57*10^-7m

λ = 557nm