When light of a wavelength λ = 520 nm is incident on a diffraction grating the first maximum after the center one is found to occur at an angle of θ1 = 8.5 degrees. 1. Write an expression for the grating's line density, n, in terms of the given quantities.

When the light of a wavelength λ = 561 nm is incident on a diffraction grating the first maximum after the center one is found to occur at an angle of θ1 = 7.5 degrees.  Part (a)  Write an expression for the grating's line density, n, in terms of the given quantities.  Part (b)  Calculate this spacing in lines per centimeter?   Part (c)  Find the angle of the second-order intensity maximum, θ2, in degrees.

The diffraction grating is a way of separating or dispersing light of different wavelengths, producing a spectrum of light.  The grating interferes light constructively in particular directions: dsinθm=mλdsin⁡θm=mλ  For a particular angle, we calculate the wavelength. The grating constant (or line density) is 500 lines per mm -- every millimeter has 500 lines scratched onto it, equally spaced.  The quantity d is the distance between the lines, and λ is the light wavelength.   In the previous problem, calculate y2, where one of the second-order spots appears on the meter stick.  Either that, or show that y2 can't be determined.

The wavelengths of the visible spectrum are approximately 400nm (violet) to 700nm (red). Find the angular width of the first-order visible spectrum produced by a transmission diffraction grating with 555 lines per millimeter when white light falls normally on the grating.Give your answer in degrees.

Light with wavelength å passes through a narrow slit of width w and is seen on a screen which is located at a distance D in front of the slit. The first minimum of the diffraction pattern is at distanced from the middle of the central maximum. Calculate the wavelength of light if VAD. Give your D=1.3 m, d=1 mm and w = answer in nanometers.

One leg of a Michelson interferometer contains an evacuated cylinder of length L, =0.30m having glass plates on each end. A gas is slowly leaked into the cylinder until a pressure of 1 atm is reached. If 140 bright fringes pass on the screen when light of wavelength A=440nm is used, what is n, the index of refraction of the gas? State your answer to the nearest 0.000001 ( one part per million).

Please don't provide handwritten solution ......

A diffraction grating has 2500 lines/cm. What is the angle between the first-order maximum for red light wavelentgh = 680 nm and the first-order maximum for blue light wavelength = 410 nm?

The wavelengths of the visible spectrum are approximately 400nm (violet) to 700nm (red). Find the angular width of the first-order visible spectrum produced by a transmission diffraction grating with 485 lines per millimeter when white light falls normally on the grating.Give your answer in degrees.

A diffraction grating has 2000 lines/cm. What is the angle between the first-order maxima for red light (λ = 720 nm) and blue light (λ = 500 nm)?