Mirror Source Mirror To vacuum pump Fig. 2

A technician is performing Young's double-slit experiment for his supervisor. He directs a beam of single-wavelength light to a pair of parallel slits, which are separated by 0.132 mm from each other. The portion of this light that passes through the slits goes on to form an interference pattern upon a screen, which is 4.50 meters distant.The light is characterized by a wavelength of 590 nm. (a)What is the optical path-length difference (in µm) that corresponds to the fifth-order bright fringe on the screen? (This is the fifth fringe, not counting the central bright band, that one encounters moving from the center out to one side.) ?µm (b)What path-length difference (in µm) corresponds to the fifth dark fringe that one encounters when moving out to one side of the central bright fringe? ?µm

In an experiment, green light with wavelength 543 nm, sent through a pair of slits 35.0 μm apart, produces bright fringes 1.86 cm apart on a screen 1.20 m away. If the apparatus is now submerged in a tank containing a sugar solution with an index of refraction of 1.38, calculate the fringe separation (in cm) for this same arrangement.

In an interference experiment using a monochromatic source emitting light of wavelength 1, the fringes are produced by two long, narrow slits separated by a distance d. The fringes are formed on a screen which is situated at a distance D >> d.Write down an expression for the fringe width w. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. Use "lambda" (without the quotes) for 1 in the equation box. For example, use d*lambda for d2. Please use the "Display response" button to check you entered the answer you expect. w=

One day, after pulling down your window shade, you notice that sunlight is passing through a pinhole in the shade and making a small patch of light on the far wall. Having recently studied optics in your physics class, you're not too surprised to see that the patch of light seems to be a circular diffraction pattern. It appears that the central maximum is about 3 cm across, and you estimate that the distance from the window shade to the wall is about 5 m. Part A Estimate the average wavelength of the sunlight (in nm). 350 nm 450 nm 550 nm d = 650 nm 750 nm Submit Part B Estimate the diameter of the pinhole (in mm). Express your answer in millimeters. Request Answer Submit - ΑΣΦ Request Answer ? mm

The attatched figure shows a Michelson interferometer with a movable mirror M1, a fixed mirror M2, and a beam splitter Ms , which is a half-silvered mirror that transmits one-half the light and reflects one-half the light incident upon it independent of the direction of the light. The source emits monochromatic light of wavelength λ.  Assume the beam splitter introduces a phase change of π for light that follows path 1 from the source to the detector relative to light that follows path 2 from the source to the detector. Also assume the mirrors M1 and M2 reflect 100% ofthe light incident upon them and the photodetector PM (a photomultiplier) is 100% efficient as well. Question:  Use the principles of quantum mechanics to determine the probability that a photon entering the interferometer is detected by the photodetector. Express your answer in terms of the lengths I1 , I2 and λ. Find an expression for I1 in terms of I2 and λ, such that there is 100% probability that the photon is…

A student performs a standard two-slit interference experiment and carefully sketches the observed interference pattern. The red colored pencil used by the student may not precisely match the actual color of the coherent light source. The position of the second-order maximum, corresponding to two full wavelengths of path difference from the two slits, is most nearly 35.0cm. The position of the third-order minimum of intensity, corresponding to two and one-half wavelengths of path difference for rays arriving from the two slits, is most nearly 43.8cm. 1. Given that the two narrow slits in the barrier are separated by 10.0μm10.0μm and the distance between the barrier and the screen is 2.55 m, what is the wavelength, in nanometers, of the coherent light source used to create the interference pattern?  2. The student wishes to repeat the using different slit separations. What is the smallest slit separation, in micrometers, that produces a first-order maximum?  3. The student wishes to…

The analysis of any two-point source interference pattern and a successful determination of wavelength demands an ability to sort through the measured information and equating the values with the symbols in Young's equation. Apply your understanding by interpreting the following statements and identifying the values of y, d, m and L. Finally, perform some conversions of the given information such that all information share the same unit. If two slits 0.100 mm apart are separated from a screen by a distance of 300 mm, then the first-order minimum will be 1 cm from the central maximum. y= ________ d=________ m=_______ L=________

A monochromatic source of light of wavelength λ, is incident on a slit of width a. Obtain an expression to represent the angle of the 4th diffraction minimum. Hint: Think about Huygens construction with the single slit divided into four equal length sections acting as sources of secondary waves. Write down a general expression for the nth minimum angle. If λ =500 nm, a = 4 μm, determine the angle of the 2nd minimum.