Two parallel narrow horizontal slits in an opaque vertical screen are separated center to center by d = 10 mm. These are directly illuminated by a plane wave from a filtered discharge lamp. Horizontal fringes are formed on a vertical viewing screen 16 m from the aperture plane. The center of the sixth bright band is y = 28 mm above the center of the zeroth/central bright band. a) Ag= Determine the wavelength An of the light in air. b) If the entire space is filled with a medium of an index of refraction n = 1.527, where would the sixth fringe now appear (find y)? y=

A slit of width 0.15 mm is located 10.0 m from a screen. Light with a wavelength of 450 nm passes through this slit. Determine the distance between the first and the third dark fringes on the screen.

7. The Numerical Aperture, NA, of a waveguide is defined as no sin A where nд is the refractive index of the material from which the light enters the waveguide and is the maximum acceptance angle, as shown in Q3. Apply trigonometry to the figure in Q3 and show that the Numerical Aperture is: √√n²-n² NA =

A light with wavelength λ = 565 nm falls on a pair of closely separated slits. The first dark fringe of the interference pattern is at an angle θ = 3.25 degrees from the central maximum. a) Solve for the numerical value of d in mm.

Monochromatic red light with a wavelength of 660nm is incident on a pair of narrow slits that are separated by a distance of 4.00×10^4 *m. A viewing screen is placed a distance of 120cm behind the slits to observe the intensity pattern of the light after passing through the slits. a) Relative to the center of the pattern, where is the center of the third bright fringe?

If a soap bubble is 120 nm thick, what wavelength is most strongly reflected at the center of the outer surface when illuminated normally by white light? Assume that the index refraction of air is na 1 (the actual value is 1.0003) and the index refraction of soap is ns = 1.35.

The two most prominent wavelengths in the light emitted by a hydrogen discharge lamp are 656 nm (red) and 486 nm (blue). Light from a hydrogen lamp illuminates a diffraction grating with 460 lines/mm, and the light is observed on a screen 1.50 m behind the grating. What is the distance between the first-order red and blue fringes?

Light is sent through a single slit of width w = 0.52 mm. On a screen, which is L = 1.9 m from the slit, the width of the central maximum is D = 5.2 mm. a) The angle of the first dark fringe theta dark. Express sin(theta dark) in terms of the wavelength of the light λ and w. sin(theta dark) =  b) Express tan(theta dark) in terms of D and L. c) If D << L, how is tan(theta dark) related to sin(theta dark)? d) Express λ in terms of w, D, and L? e) Solve for the numerical value of λ, in nanometers.