In an interference experiment using a monochromatic source emitting light of wavelength 2, 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 à 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. Display response

In an interference experiment using a monochromatic source emitting light of wavelength 2, 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. BA), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate. Use "lambda" (without the quotes) for à 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. Display response

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 89AP: Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in...

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Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of 6 m. A monochromatic light of wavelength 450 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. (a) How many peaks of the interference will be observed in the central maximum of the diffraction pattern? (b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? (c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 12 m, while keeping the widths of the slits same? (d) What will happen in (a) if instead of 450-nm light another light of wavelength 680 nm is used? (e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)? (f) Does this ratio depend on the wavelength of the light? (g) Does this ratio depend on the width or separation of the slits?
Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in an opaque plate. A screen of dimensions 2.0m2.0m is 1.2 m away from the slit. (a) Which way is the diffraction pattern spread out on the screen? (b) What are the angles of the minima with respect to the center? (c) What are the angles of the maxima? (d) How wide is the central bright fringe on the screen? (e) How wide is the next bright fringe on the screen?
In a Young's double slit experiment the wavelength of light is ?λ, separation between the slits is ?a and the distance to the screen is ?D. Give an expression for the interference fringe width ?w on screen if ?≫?D≫a. For Greek letters such as ?λ use the text equivalent - e.g. "lambda" (without the quotes, e.f. for ??Dλ use D*lambda).
The fringe width b is defined as the distance between two consecutive maxima (or consecutive minima). In a Young’s double-slit experiment, the fringe width obtained from a source of wavelength 500.0 nm is 3.90 mm. If the apparatus is immersed in a liquid that has index of refraction n = 1.30, what is the new fringe width? Assume the apparatus was originally in air and that the small-angle approximation applies to this situation.
In a double slit experiment, the distance between the slits is 0.2 mm and the distance to the screen is 100 cm. What is the phase difference (in degrees) between the waves from the two slits arriving at a point 5 mm from the central maximum when the wavelength is 400 nm? (Convert your result so the angle is between 0 and 360°.)
When the light of a wavelength λ = 561 nm is incident on a diffraction grating the first maximum after the center one is found to occur at an angle of θ1 = 7.5 degrees. Part (a) Write an expression for the grating's line density, n, in terms of the given quantities. Part (b) Calculate this spacing in lines per centimeter? Part (c) Find the angle of the second-order intensity maximum, θ2, in degrees.
In a double slit experiment, the slits are separated by a distance of 0.46 mm, and the screen is 1.5 m from the slits. Light of wavelength 455.0 nm is incident on the slits.Compute the(a) angle for the second-order bright fringe?(b) vertical distance for the fifth-order bright fringe from the central maximum?
For fun, a student constructs a three-slit interference experiment. If the light from each of the three slits arrives in phase at the central maximum, then how will the intensity I compare to the intensity I1 from a single slit? a. 3I1 b. 9I1 c. I1 d. 6I1
For Young’s double-slit experiment, find the first three values of path difference (?) for which the intensity is half its maximum and the wavelength of the light beams is 500 nm. Includepositive and negative values of each quantity.
The figure shows a double slit located a distance x = 2.85 m from a screen, with the distance from the center of the screen to a bright fringe given by y. When the distance d between the slits is large compared to the wavelength λ, there will be numerous such bright fringes. Part (a) Give an expression for the distance between adjacent fringes Δy, using quantities given in the problem statement and assuming the angles θ are very small. Part (b) Calculate the distance between adjacent fringes, in centimeters, for 638-nm light falling on double slits separated by 0.0815 mm.
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=________
State the conditions necessary for interference to take place. In a Young's 2-slit experiment, the separation of the interference bands ?w is given by the equation: ?=??/? where ? is the wavelength of the light, ? is the distance from the double slit to the screen and ? is the distance between the slits. Given that ?=5 m, ?=0.25 cm and ? 618 nm, calculate the fringe width ?. Give your answer in millimetres.