College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 24, Problem 15P
24.3 Gratings: an application of interference
Laser light on grating 1 The 6.30 mm light from a helium-neon laser irradiates a grating. The light then falls on a screen where the first bright spot is separated from the central maximum by 0.51 m. Light of another
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Problem 26.07 - Enhanced - with Solution
Coherent light from a sodium-vapor lamp is passed through a filter that blocks everything
except for light of a single wavelength. It then falls on two slits separated by 0.480 mm. In
the resulting interference pattern on a screen 2.12 m away, adjacent bright fringes are
separated by 2.70 mm.
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Solution of Determining wavelength.
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What is the wavelength of the light that falls on the slits?
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Problem 26.07- Enhanced - with Solution
Coherent light from a sodium-vapor lamp is passed through a filter that blocks everything
except for light of a single wavelength. It then falls on two slits separated by 0.460 mm. In
the resulting interference pattern on a screen 2.12 m away, adjacent bright fringes are
separated by 2.70 mm.
You may want to review (Page)
For related problem-solving tips and strategies, you may want to view a Video Tutor
Solution of Determining wavelength.
▾
Part A
What is the wavelength of the light that falls on the slits?
A =
fer Paiva For Fart do for Part redo foart A reor Part A keyboard shortcuts for Part A help for Part.A.
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3. For a potential experiment on diffraction, you are given a diffraction grating that has
5000 slits (exactly) per centimeter. The experiment will determine the separation of the
second-order red (λ = 632.8 nm) and blue (λ = 420.0 nm) light fringes on a screen 1.00 m
away from the grating.
a. Determine the distance between the slit centers.
b. Determine the angular deviations 0 (angle of the line from center of slit to the mth dark
fringe on the screen) for the second order red and blue light.
c. Determine the separation distance (in m) on the screen between the second order red
and blue fringes. Be careful about which trig function you use to calculate this: draw the
triangle and choose appropriately. Hint: are you even using the hypotenuse of the triangle?
Chapter 24 Solutions
College Physics
Ch. 24 - Review Question 24.1 Explain why we observe...Ch. 24 - Prob. 2RQCh. 24 - Review Question 24.3 How do the locations of the...Ch. 24 - Review Question 24.4 If we look through a grating...Ch. 24 - Review Question 24.5 Equation (24.6),...Ch. 24 - Review Question 24.6 Stars are so far away that...Ch. 24 - Prob. 7RQCh. 24 - Multiple Choice Questions
1. You shine a...Ch. 24 - Multiple Choice Questions When you shine a very...Ch. 24 - Prob. 3MCQ
Ch. 24 - Multiple Choice Questions If you add a third slit...Ch. 24 - Multiple Choice Questions
5. Why don’t two...Ch. 24 - Multiple Choice Questions You shine a laser beam...Ch. 24 - Multiple Choice Questions
7. What does the...Ch. 24 - Prob. 8MCQCh. 24 - Multiple Choice Questions You shine a green laser...Ch. 24 - 10. Describe a double-slit interference experiment...Ch. 24 - You are investigating a pattern produced on a...Ch. 24 - 12. Give examples of phenomena that can be...Ch. 24 - 13. Give examples of phenomena that cannot be...Ch. 24 - Prob. 14CQCh. 24 - 15. Draw a point-like source of light. What is the...Ch. 24 - Draw two coherent light sources next to each...Ch. 24 - 17. Use the wave front representation to explain...Ch. 24 - 18. Use the wave front representation to explain...Ch. 24 - Compare the interference pattern produced by two...Ch. 24 - Draw 10 coherent point-like sources of light...Ch. 24 - If you see green light of 520-nm wavelength when...Ch. 24 - 22. Imagine that you have a very thin uniform oil...Ch. 24 - (a) Draw a picture of what you will see on a...Ch. 24 - Describe three situations that you can analyze...Ch. 24 - Why can you hear a person who is around a corner...Ch. 24 - 26 Astronomers often called the resolution limit...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - 24.1 and 24.2 Young’s double-slit experiment and...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - 24.1 and 24.2 Young’s double-slit experiment and...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - 24.1 and 24.2 Youngs double-slit experiment and...Ch. 24 - Gratings: an application of interference Light of...Ch. 24 - 24.3 Gratings: an application of interference...Ch. 24 - 24.3 Gratings: an application of interference
12....Ch. 24 - Gratings: an application of interference Only half...Ch. 24 - 24.3 Gratings: an application of interference...Ch. 24 - 24.3 Gratings: an application of interference...Ch. 24 - 24.3 Gratings: an application of interference
18....Ch. 24 - 24.4 Thin-film interference
20. * Representing...Ch. 24 - 24.4 Thin-film interference
21. * Oil film on...Ch. 24 -
24.4 Thin-film interference
22. * Soap bubble 1 ...Ch. 24 - 24.4 Thin-film interference * Soap bubble 2 soap...Ch. 24 - 24.4 Thin-film interference
24. * Thin-film coated...Ch. 24 - Thin-film interference * Thin-film coated glass...Ch. 24 - 24.4 Thin-film interference
26. Two flat glass...Ch. 24 - 24.5 Diffraction of light * Explain diffraction...Ch. 24 - 24.5 Diffraction of light * How did we derive it?...Ch. 24 - 24.5 Diffraction of light
31. * Explain a white...Ch. 24 - 24.5 Diffraction of light Light of wavelength 630...Ch. 24 - 24.5 Diffraction of light * Light of wavelength of...Ch. 24 - 24.5 Diffraction of light * Sound diffraction...Ch. 24 - 24.5 Diffraction of light * Light of wavelength...Ch. 24 - Prob. 36PCh. 24 - 24.6 Resolving power
37. Resolution of telescope ...Ch. 24 - Resolving power * Laser light of wavelength 630 nm...Ch. 24 - Resolving power * Size of small bead Infrared...Ch. 24 - Resolving power * Resolution of telescope How will...Ch. 24 - Resolving power * Detecting visual binary stars...Ch. 24 - Prob. 42PCh. 24 - 24.6 Resolving power
43 * Draw a graphical...Ch. 24 - 24.7 Skills for applying the wave model of...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - Prob. 48PCh. 24 - Prob. 50PCh. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of...Ch. 24 - 24.7 Skills for applying the wave model of...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - 24.7 Skills for applying the wave model of light *...Ch. 24 - * Monochromatic light passes through two slits and...Ch. 24 - 64. Sound from speakers Two stereo speakers...Ch. 24 - Prob. 65GPCh. 24 - 66. Diffraction of water waves entering a harbor ...Ch. 24 - ** Variable thickness wedge A wedge of glass of...Ch. 24 - Prob. 69GPCh. 24 - Looking at Moon rocks You have a home telescope...Ch. 24 - * BIO EST Diffraction-limited resolving power of...Ch. 24 - 72. * Resolving sunspots You are looking at...Ch. 24 - s Mare Imbrium The outermost ring of mountains...Ch. 24 - * Can you see atoms with a light-based microscope?...Ch. 24 - * Detecting insects by diffraction of sound A...Ch. 24 - BIO What is 20/20 vision? Vision is often measured...Ch. 24 -
BIO What is 20/20 vision? Vision is often...Ch. 24 - BIO What is 20/20 vision? Vision is often measured...Ch. 24 - BIO What is 20/20 vision? Vision is often measured...Ch. 24 - BIO What is 20/20 vision? Vision is often measured...Ch. 24 - Thin-film window coatings for energy conservation...Ch. 24 - Thin-film window coatings for energy conservation...Ch. 24 - Thin-film window coatings for energy conservation...Ch. 24 - Thin-film window coatings for energy conservation...Ch. 24 - Thin-film window coatings for energy conservation...
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- (a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width 2.00 m. (b) What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit? (c) Discuss the ease or difficulty of measuring such a distance.arrow_forward(a) Find the angle of the third diffraction minimum for 633-nm light falling on a slit of width 20.0 m. (b) What slit width would place this minimum at 85.0°? Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Opticsarrow_forwardIntense white light is incident on a diffraction grating that has 600. lines/mm. (a) What is the highest order in which the complete visible spectrum can be seen with this grating? (b) What is the angular separation between the violet edge (400. nm) and the red edge (700. nm) of the first-order spectrum produced by the grating?arrow_forward
- In a Youngs double-slit experiment, a set of parallel slits with a separation of 0.100 mm is illuminated by light having a wave- length of 589 nm, and the interference pattern is observed on a screen 4.00 m from the slits, (a) What is the difference in path lengths from each of the slits to the location of a third-order bright fringe on the screen? (b) What is the difference in path lengths from the two slits to the location of the third dark fringe on the screen, away from the center of the pattern?arrow_forward€37. (a) Show that a 30,000-line-per-centimeter grating will not produce a maximum for visible light. (b) What is the longest wavelength for which it does produce a first-order maximum? (c) What is the greatest number of lines per centimeter a diffraction grating can have and produce a complete second order spectrum for visible light?arrow_forward(a) What is the distance between the slits of a diffraction grating that produces a first-order maximum for the first Balmer line at an angle of 20.0°? (b) At what angle will the fourth line of the Balmer series appear in first order? (c) At what angle will the second-order maximum be for the first line?arrow_forward
- A student and his lab partner create a single slit by carefully aligning two razor blades to a separation of 0.500 mm. When a helium-neon laser at 633 nm illuminates the slit, a diffraction pattern is observed on a screen 1.25 m beyond the slit. Calculate (a) the angle dark to the first minimum in the diffraction pattern and (b) the width of the central maximum.arrow_forward(a) What is the width of a single slit that produces its first minimum at 60.0° for 600-nm light? (b) Find the wavelength of light that has its first minimum at 62.0°.arrow_forwardWhat If? Suppose light strikes a single slit of width a at an angle from the perpendicular direction as shown in Figure P37.6. Show that Equation 37.1, the condition for destructive interference, must be modified to read sindark=masinm=1,2,3,arrow_forward
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