Laser light of a single wavelength (600 nm) is shined upon a mystery aperture. As the light passes through the mystery aperture, it diffracts and creates an interference pattern on a screen placed 2 m behind the aperture. The figure below shows detailed measurements of the inter- ference pattern. Use this information to solve parts (a) - (c) Intensity + 1 3 4 5 x (ст) (a) What is the mystery aperture? You may assume that the size of the compared to the distance to the screen. (Hint: is it a double slit aperture, a diffraction grating, or a single slit aperture?) aperture is very small (b) If you answered single slit in part (a), determine the slit width. If you answered double slit or diffraction grating in part (a), determine the slit spacing. (Hint: Use the width of the central maximum). (c) A mystery laser is shined upon the mystery aperture and the following interference pat- tern is produced: Intensity 1 2 4 x (ст) What is the wavelength of the mystery laser light? You may assume that the aperture and screen distance remain unchanged.

The fringe of order (1.0000x10^0) is observed at an angle of (7.3000x10^0)° when light of wavelength (2.62x10^0) nm falls on two narrow slits. How far apart are the slits in micrometers? Give your answer to 3 sf. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 Answer

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=

X rays of wavelength 0.0820 nm are scattered from the atoms of a crystal. The second-order maximum in the Bragg reflection occurs when the angle is 20.5°. (Figure 1) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of X-ray diffraction. Part A What is the spacing between adjacent atomic planes in the crystal? Express your answer in nanometers. ΓΙ ΑΣΦ d = Submit Previous Answers Request Answer ? nm

Narrow, equally spaced vertical slits with equal widths are located at a distance of D = 2.47 m from a screen. The intensity pattern in the figure is observed when light with wavelength = 570 nm from a laser passes through the slits, illuminating them uniformly. The screen is perpendicular to the laser beam. 0 1 2 3 4 5 6 7 8 9 cm 7 The number of slits is ... Submit Answer Incorrect. Tries 1/3 Previous Tries Calculate the center to center spacing between the slits. Use the cm scale to measure distances on the screen. 2.25x10^-6 cm There is a fixed relation between wavelength, slit separation, and angle between the first (or second, third etc) order maximum and the central maximum. The angle can be determined from the distance to the screen and the separation between the first maximum and the central maximum on the screen. Submit Answer Incorrect. Tries 1/12 Previous Tries Calculate the width of the slits. Use the cm scale to measure distances on the screen. Submit Answer Tries 0/12

Write down an expression for the highest order mof diffraction in a double slit experiment if the distance between the slits is a and slits are illuminated with light of the wavelength . Please use "*" (without the quotes) for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "- "signs as appropriate. For exponents (e.g. A²) use A*A or A^2 notation: thus A³/B should appear as either A*A*A/B or A^3/B. For greek letters use "theta" (without the quotes) and for trigonometric functions use "cos", "tan", "sin" (without the quotes). Thus for Acose use A*cos theta. Please use the "Display response" button to check you entered the answer you expect. Answer: Display response

You are asked to design a spectrometer such that, on a screen located a distance of 3.52 m from a diffraction grating, the m = 3 dark fringe for 550 nm light is located at a distance of 5.1 cm from the (m = 0) center of the screen. How many lines per centimeter should your diffraction grating have?

If we treat a double slit experiment as a point-like source where distances from the slits are measured by r₁ and r2 respectively, a plane wave from each slit would Ae-i where ;=kr; -wt+do and 01 - 02= take the form ₁ Ae-i1 and 2: = = k(r₁ r₂). 1. Solve for the probability density ₁+ 22 in terms of A, k, r₁ and r2. -