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College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Figure below shows a double slit located a distance x from a screen, with the distance from the center of the screen given by y. The slits are illuminated by light of wavelength λ. When the distance d between the slits is relatively large, there will be numerous bright spots, called fringes. |

Transcribed Image Text:1. Figure below shows a double slit located a distance x from a screen, with the distance from the
center of the screen given by y. The slits are illuminated by light of wavelength A. When the distance
d between the slits is relatively large, there will be numerous bright spots, called fringes.
Using the small angle approximation (where sine -0, with e in radians), calculate the distance
between fringes in terms of A and the variables shown below.
Ym+1
Ym
d
X
Answer symbollically using: x,d, and A. Use the orange square root symbol box to enter variables
and greek symbols.
Ay =
Using the result of part (a), calculate the distance between fringes for 665 -nm light falling on double
slits separated by 0.07 mm, located 4 m from a screen as in Figure.
Ay:
cm
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- Calculate the width the interference fringe in the middle of the screen between two slits given the wavelength of the incident light is 444 nm and the distance between the slits is 0.013 mm. Take the distance between the slits and the screed D=1 m. Provide your answer in millimetres (mm).arrow_forwardEstablish 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.arrow_forwardConsider a two-slit experiment in which the slit separation is 2.4 x 10-5 m and the interference pattern is observed on a screen that is 1.50 m away from the slits. The wavelength of light passing through the slits is 420 nm. What is the position of the second dark fringe? Show your calculationsarrow_forward
- 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=arrow_forwardA double slit experiment is performed where the two slits are separated by 0.134 mm. Visible light of 532 nm passes through the slits and falls onto a screen 4.00 m from the slits. a) What is the distance along the screen from the central maximum to the nearest minimum? ________________________ b) What is the angular position (in degrees) of the third-order maximum, relative to the central maximum? ________________________ c) What are some other wavelengths of light that would have maxima located at the same position as the third-order maximum for 532 nm light? List at least four wavelengths, along with the order of the maximum, and the type of light (visible, infrared, etc). Note that UV is from 10-380 nm, visible is from 380-750 nm, and IR is from 750 nm – 1 mm. Wavelength Order Type of lightarrow_forwardplease helparrow_forward
- A double slit experiment is performed where the two slits are separated by 0.134 mm. Visible light of 532 nm passes through the slits and falls onto a screen 4.00 m from the slits. a) What is the distance along the screen from the central maximum to the nearest minimum? ________________________ b) What is the angular position (in degrees) of the third-order maximum, relative to the central maximum? ________________________ c) What are some other wavelengths of light that would have maxima located at the same position as the third-order maximum for 532 nm light? List at least four wavelengths, along with the order of the maximum, and the type of light (visible, infrared, etc). Note that UV is from 10-380 nm, visible is fromarrow_forwardCalculate the width the interference fringe in the middle of the screen between two slits given the wavelength of the incident light is 565 nm and the distance between the slits is 0.011 mm. Take the distance between the slits and the screed D=1 m. Provide your answer in millimetres (mm).arrow_forward
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