What type of diffraction grating should I use so that when sunlight falls on it, I will get all the colors of the rainbow with maximum separation? Give your answer in lines/cm. The visible separation goes from 380 nm to 750 nm. PLEASE PLEASE sketch the situation correct answer should be 13,333 lines/cm

What type of diffraction grating should I use so that when sunlight falls on it, I will get all the colors of the rainbow with maximum separation? Give your answer in lines/cm. The visible separation goes from 380 nm to 750 nm. PLEASE PLEASE sketch the situation correct answer should be 13,333 lines/cm

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 56P: Diffraction spreading for a flashlight is insignificant compared with other limitations in its...

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An experimenter detects 251 fringes when the movable mirror in a Michelson interferometer is displaced. The light source used is a sodium lamp, wavelength 589 nm. By what distance did the movable mirror move?
Prove that if I is the intensity of light transmitted by two polarizing filters with axes at an angle and I’ is the intensity when the axes are at an angle 90.0, then I+I=I0, the original intensity. (Hint: Use the trigonometric identities cos 90.0=sinand cos2sin2=1 .)
The yellow light from a sodium vapor lamp seems to be of pure wavelength, but it produces two first-order maxima at 36.093° and 36.129° when projected on a 10,000 line per centimeter diffraction grating. What are the two wavelengths to an accuracy of 0.1 nm?
Diffraction spreading for a flashlight is insignificant compared with other limitations in its optics, such as spherical aberrations in its mirror. To show this, calculate the minimum angular spreading of a flashlight beam that is originally 5.00 cm in diameter with an average wavelength of 600 nm.
Find the minimum thickness of a soap bubble that appears red when illuminated by white light perpendicular to its surface. Take the wavelength to be 680 nm, and assume the same index of refraction as water.
Determine the intensities of two interference peaks other than the central peak in the central maximum of the diffraction, if possible, when a light of wavelength 628 nm is incident on a double slit of width 500 nm and separation 1500 nm. Use the intensity of the central spot to be 1mW/cm2 .
Determine the intensities of three interference peaks other than the central peak in the central maximum of the diffraction, if possible, when a light of wavelength 500 nm is incident normally on a double slit of width 1000 nm and separation 1500 nm. Use the intensity of the central spot to be 1mW/cm2 .
If the separation between the first and the second minima of a single-slit diffraction pattern is 6.0 mm, what is the distance between the screen and the slit? The light wavelength is 500 nm and the slit width is 0.16 mm.
There is a monochromatic light with wavelength λ = 529 nm shines down on a plano-convex lens lying on a piece of plate glass, shown in the figure below. When viewing from above, one sees a set of concentric dark and bright fringes. If the radius r of the 9th bright ring from the center is measured to be 0.256 cm, what is the radius of curvature of the lens?
A soap bubble is 100 nm thick and illuminated by white light incident perpendicular to its surface. What wavelength and color of visible light is most constructively reflected, assuming the same index of refraction as water?. Repeat above Exercise, but take the light to be incident at a 45o angle.
Consider a diffraction grating with a grating constant of 500 lines/mm. The grading is illuminated with a composite light source consisting of two distinct wavelengths of light being 666 nm and 501 nm. If a screen is placed a distance of 57 m away, what is the linear separation between the 1st order maxima of the 2 wavelengths? Express this distance in meters.
If you gently spread the barbs on a feather and look through it at a light source, you’ll see a clear pattern of rainbows due to diffraction by the feather’s barbules, which are small, evenly spaced structures visible in the micrograph as shown. If the barbules are spaced at 50 per mm, a typical value, what is the first-order diffraction angle for blue light of 450 nm and red light of 650 nm?