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. a. Two slits separated by 0.250 mm produces an interference pattern in which the fifth dark band is located 12.8 cm from the central antinode when the screen is placed a distance of 8.2 meters away. y= ________ d=________ m=_______ L=________

Establish the relevant theoretical model: Write an equation linking the distance between the two slits (d), the wavelength of the light source (2), the distance from the screen (L), the linear position (y) of the bright interference bangs and the order of these bangs (m). Use the small-angle approximation. Isolate, in this relationship, the linear position of the bright fringes. Draw a graph of y as a function of m.

The following problem must be solved taking into consideration the modification given below: A student holds a laser that emits light of wavelength 545 nm. The laser beam passes though a pair of slits separated by 0.500 mm, in a glass plate attached to the front of the laser. The beam then falls perpendicularly on a screen, creating an interference pattern on it. The student begins to walk directly toward the screen at 2.00 m/s. The central maximum on the screen is stationary. Find the speed at which the 5th-order maxima changes its position on the screen. Do not use small angle approximation. Modification: Suppose there is a liquid in the space between the slits and the screen. Give such liquid any refractive index you desire (numerical value). Also suppose that the screen has a finite lenght (give another numerical value). Besides calculating the speed at which the 5th-order maxima changes its position on the screen also calculate the initial value of bright fringes according to the…

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=

ANSWER #2 A-C from the image provided

Question 1: Solve the following question, showing all of your steps and equation used. Assume that you create two slits that are 0.02 mm apart, and you place a viewing screen 1 meter away. You shine a laser beam of wavelength A = 540 nm on the two slits. a. What is the angle of the brightest fringe? b. What is the angle of the first order interference fringe? c. What is the angle where you will see the third order bright fringe? How far above the center of the source do you expect to see this fringe?

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=________