Consider a single slit being illuminated by light with wavelength λ. Part (a)  What is the minimum width, w1min, expressed as a multiple of λ, for which the slit produces the first minimum?  Part (b)  What is its minimum width of the slit, w50,min, if it produces 50 minima? Again, express this in multiples of λ.  Part (c)  What if it produces 1000 minima?

Light with wavelength 633 nm is incident on a 2.50-μm-wide slit. Find the angular width of the central peak in the diffrac- tion pattern, taken as the angular separation between the first minima.

Measuring distance with high precision is a critical goal in engineering. Numerous devices exist to perform such measurements, with many involving laser light. Shining light through a double slit can be used to measure distance if (1) both the wavelength of the light beam and the distance between slits are known and (2) the spacing between the minima and maxima appearing on the screen can be measured. But this method requires a physical measurement of distance on the object, which may not be practical. To create a laser-based measurement device that does not require placing a physical ruler on the object, a Nd:YAG laser is mounted inside a box so that the beam of the laser passes through two slits rigidly attached to the laser. Although 1064 nm is the principal wavelength of a Nd:YAG laser, the laser can be switched to numerous secondary wavelengths, including 1052 nm, 1075 nm, 1113 nm, and 1319 nm. Lo Id Object Laser The device is used to shine a beam on an object located nearby. The…

Consider the following. (a) Find the angle ? locating the first minimum in the Fraunhofer diffraction pattern of a single slit of width 0.182 mm, using light of wavelength 581 nm.(b) Find the angle locating the second minimum.

Light of the same wavelength is passed through two different double slit set ups. The interference patterns look like this (the distance scale is the same, and the grey blobs represent constructive interference fringes). Set up 1 Set up 2 Which set up has the wider slit spacing? Select one: а. Set up 1 O b. The two set ups have the same spacing Ос. It's impossible to tell from the interference patterns O d. Set up 2 Check

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.

This question is regarding the experiment ’Diffraction and Interference of Light’. a) In a diffraction experiment for a given slit and a given slit-screen distance,would the distance between the dark fringes increase or decrease when a blue laser is replaced with a red laser? Use equations to argue why, in no more than two sentences (Hint: wavelength λblue = 470nm, λred = 700 b) Draw the pattern you observe for two slit interference. Mark clearly the diffraction and the interference parts of this pattern. c) How will the pattern change? When I change the distance between the slits?