College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 27, Problem 4TP
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In a Young's double-slit experiment, the separation between slits is d and
the screen is a distance R from the slits. R is much greater than d and > is
the wavelength of the light. The number of bright fringes per unit width
on the screen is:
d/RX
R/dλ
Rd/λ
X/Rd
Rλ/d
In a double slit experiment with monochromatic light, the separation between the slits is 2 mm. If the screen is moved by 100 mm toward the slits, the distance between the central bright line and the second bright line changes by 32 μm. Calculate the wavelength of the light used for the experiment.
In Biprism experiment the fringe width
is 0.30 mm. If slits are covered by glass plate of
thickness 0.04 mm and refractive index µ = 1.5,
then the fringe width is
Chapter 27 Solutions
College Physics
Ch. 27 - What type of experimental evidence indicates that...Ch. 27 - Give an example of a wave characteristic of light...Ch. 27 - How do wave effects depend on the size of the...Ch. 27 - Under what conditions can light be modeled like a...Ch. 27 - Go outside in the sunlight and observe your...Ch. 27 - Why does the wavelength of light decrease when it...Ch. 27 - Does Huygens's principle apply to all types of...Ch. 27 - Young's double slit experiment breaks a single...Ch. 27 - Suppose you use the same double slit to perform...Ch. 27 - Is it possible to create a situation in which...
Ch. 27 - Figure 27.55 shows the central part of the...Ch. 27 - What is the advantage of a diffraction grating...Ch. 27 - What are the advantages of a diffraction grating...Ch. 27 - Can the lines in a diffraction grating be too...Ch. 27 - If a beam of white light passes through a...Ch. 27 - Suppose pure-wavelength light falls on a...Ch. 27 - Suppose a feather appears green but has no green...Ch. 27 - It is possible that there is no minimum in the...Ch. 27 - As the width of the slit producing a single-slit...Ch. 27 - A beam of light always spreads out. Why can a beam...Ch. 27 - What effect does increasing the wedge angle have...Ch. 27 - How is the difference in paths taken by two...Ch. 27 - Is there a phase change in the light reflected...Ch. 27 - In placing a sample on a microscope slide, a glass...Ch. 27 - Answer the above question if the fluid between the...Ch. 27 - While contemplating the food value of a slice of...Ch. 27 - An inventor notices that a soap bubble is dark at...Ch. 27 - A non-reflective coating like the one described in...Ch. 27 - Why is it much more difficult to see interference...Ch. 27 - Under what circumstances is the phase of light...Ch. 27 - Can a sound wave in air be polarized? Explain.Ch. 27 - No light passes through two perfect polarizing...Ch. 27 - Explain what happens to the energy carried by...Ch. 27 - When particles scattering light are smaller than...Ch. 27 - Using the information given in the preceding...Ch. 27 - When light is reflected at Brewster's angle from a...Ch. 27 - Explain how microscopes can use wave optics to...Ch. 27 - A bright white light under water is collimated and...Ch. 27 - Show that when light passes from air to water, its...Ch. 27 - Find the range of visible wavelengths of light in...Ch. 27 - What is the index of refraction of a material for...Ch. 27 - Analysis of an interference effect in a clear...Ch. 27 - What is the ratio of thicknesses of crown glass...Ch. 27 - At what angle is the first-order maximum for...Ch. 27 - Calculate the angle for the third-order maximum of...Ch. 27 - What is the separation between two slits for which...Ch. 27 - Find the distance between two slits that produces...Ch. 27 - Calculate the wavelength of light that has its...Ch. 27 - What is the wavelength of light falling on double...Ch. 27 - At what angle is the fourth-order maximum for the...Ch. 27 - What is the highest-order maximum for 400-nm light...Ch. 27 - Find the largest wavelength of light falling on...Ch. 27 - What is the smallest separation between two slits...Ch. 27 - (a) What is the smallest separation between two...Ch. 27 - (a) If the first-order maximum for pure-wavelength...Ch. 27 - Figure 27.56 shows a double slit located a...Ch. 27 - Using the result of the problem above, calculate...Ch. 27 - Using the result of the problem two problems...Ch. 27 - A diffraction grating has 2000 lines per...Ch. 27 - Find the angle for the third-order maximum for...Ch. 27 - How many lines per centimeter are there on a...Ch. 27 - What is the distance between lines on a...Ch. 27 - Calculate the wavelength of light that has its...Ch. 27 - An electric current through hydrogen gas produces...Ch. 27 - (a) What do the four angles in the above problem...Ch. 27 - What is the maximum number of lines per centimeter...Ch. 27 - The yellow light from a sodium vapor lamp seems to...Ch. 27 - What is the spacing between structures in a...Ch. 27 - Structures on a bird feather act like a reflection...Ch. 27 - An opal such as that shown in Figure 27.17 acts...Ch. 27 - At what angle does a diffraction grating produces...Ch. 27 - Show that a diffraction grating cannot produce a...Ch. 27 - If a diffraction grating produces a first-order...Ch. 27 - (a) Find the maximum number of lines per...Ch. 27 - €37. (a) Show that a 30,000-line-per-centimeter...Ch. 27 - A He—Ne laser beam is reflected from the surface...Ch. 27 - The analysis shown in the figure below also...Ch. 27 - Unreasonable Results Red light of wavelength of...Ch. 27 - Unreasonable Results (a) What visible wavelength...Ch. 27 - Construct Your Own Problem Consider a spectrometer...Ch. 27 - (a) At what angle is the first minimum for 550-nm...Ch. 27 - (a) Calculate the angle at which a 2.00- m -wide...Ch. 27 - (a) How wide is a single slit that produces its...Ch. 27 - (a) What is the width of a single slit that...Ch. 27 - Find the wavelength of light that has its third...Ch. 27 - Calculate the wavelength of light that produces...Ch. 27 - (a) Sodium vapor light averaging 589 nm in...Ch. 27 - (a) Find the angle of the third diffraction...Ch. 27 - (a) Find the angle between the first minima for...Ch. 27 - (a) What is the minimum width of a single slit (in...Ch. 27 - (a) If a single slit produces a first minimum at...Ch. 27 - A double slit produces a diffraction pattern that...Ch. 27 - Integrated Concepts A water break at the entrance...Ch. 27 - Integrated Concepts An aircraft maintenance...Ch. 27 - The 300-m-diameter Arecibo radio telescope...Ch. 27 - Assuming the angular resolution found for the...Ch. 27 - Diffraction spreading for a flashlight is...Ch. 27 - (a) What is the minimum angular spread of a 633-nm...Ch. 27 - A telescope can be used to enlarge the diameter of...Ch. 27 - The limit to the eye's acuity is actually related...Ch. 27 - What is the minimum diameter mirror on a telescope...Ch. 27 - You are told not to shoot until you see the whites...Ch. 27 - (a) The planet Pluto and its Moon Charon are...Ch. 27 - The headlights of a car are 1.3 m apart. What is...Ch. 27 - When dots are placed on a page from a laser...Ch. 27 - Unreasonable Results An amateur astronomer wants...Ch. 27 - Construct Your Own Problem Consider diffraction...Ch. 27 - A soap bubble is 100 nm thick and illuminated by...Ch. 27 - An oil slick on water is 120 nm thick and...Ch. 27 - Calculate the minimum thickness of an oil slick on...Ch. 27 - Find the minimum thickness of a soap bubble that...Ch. 27 - A film of soapy water (n=1.33) on top of a plastic...Ch. 27 - What are the three smallest non-zero thicknesses...Ch. 27 - Suppose you have a lens system that is to be used...Ch. 27 - (a) As a soap bubble thins it becomes dark,...Ch. 27 - A film of oil on water will appear dark when it is...Ch. 27 - Figure 27.34 shows two glass slides illuminated by...Ch. 27 - Figure 27.34 shows two 7.50-cm-long glass slides...Ch. 27 - Repeat Exercise 27.70, but take the light to be...Ch. 27 - Repeat Exercise 27.71, but take the light to be...Ch. 27 - Unreasonable Results To save money on making...Ch. 27 - What angle is needed between the direction of...Ch. 27 - The angle between the axes of two polarizing...Ch. 27 - If you have completely polarized light of...Ch. 27 - What angle would the axis of a polarizing filter...Ch. 27 - At the end of Example 27.8, it was stated that the...Ch. 27 - Show that if you have three polarizing filters,...Ch. 27 - Prove that, if I is the intensity of light...Ch. 27 - At what angle will light reflected from diamond be...Ch. 27 - What is Brewster's angle for light traveling in...Ch. 27 - A scuba diver sees light reflected from the...Ch. 27 - At what angle is light inside crown glass...Ch. 27 - Light reflected at 55.6° from a window is...Ch. 27 - (a) Light reflected at 62.5° from a gemstone in a...Ch. 27 - If b is Brewster's angle for light reflected from...Ch. 27 - Integrated Concepts If a polarizing filter reduces...Ch. 27 - Integrated Concepts Suppose you put on two pairs...Ch. 27 - Integrated Concepts (a) On a day when the...Ch. 27 - Prob. 1TPCh. 27 - Prob. 2TPCh. 27 - Prob. 3TPCh. 27 - Prob. 4TPCh. 27 - Prob. 5TPCh. 27 - Prob. 6TPCh. 27 - Prob. 7TPCh. 27 - Prob. 8TPCh. 27 - Prob. 9TPCh. 27 - Prob. 10TPCh. 27 - Prob. 11TPCh. 27 - Prob. 12TPCh. 27 - Prob. 13TPCh. 27 - Prob. 14TPCh. 27 - Prob. 15TPCh. 27 - Prob. 16TPCh. 27 - Prob. 17TPCh. 27 - Prob. 18TP
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- Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?arrow_forwardFringes in the Thomas Young experiment are produced using sodium light of wavelength 670 nm and two slits which are 1.2 mm apart. If the fringes are formed on a screen 0.8 m away from the slits, how far is the third order bright fringe from the middle of the screen? Give your answer in millimeters (mm).arrow_forwardIn a diffraction experiment the 1st order light (m = 1) from a diffraction grating is falling onto a single slit (see picture below). The light from the slit is then observed on a second screen and the measured width of the central diffraction peak is found to be 8 mm. Calculate the number of lines per millimetres of the grating. The distance from the slit to the second screen is 1.37 m, the distance from the diffraction grating to the screen with the slit is 5 m, the slit width is 0.25 mm and the distance from the middle of the screen with the slit to the slit is 10 mm..arrow_forward
- In an interference arrangement similar to Young's double-slit experiment, the slits S₁ and S₂ are illuminated with coherent microwave sources, each of frequency 106 Hz. The sources are synchronized to have zero phase difference. The slits are separated by a distance d = 150.0m. The intensity I (0) is measured asarrow_forwardIn a diffraction experiment the 1st order light (m=1) from a diffraction grating is falling onto a single slit (see picture below). The light from the slit is then observed on a second screen and the measured width of the central diffraction peak is found to be 8 mm. Calculate the number of lines per millimetres of the grating. The distance from the slit to the second screen is 2.16 m, the distance from the diffraction grating to the screen with the slit is 5 m, the slit width is 0.25 mm and the distance from the middle of the screen with the slit to the slit is 10 mm. 一个个个 light Grating Screen with slit Slit of size a distance from middle of Screen to the slit مع Width of Central ✓diffraction peakearrow_forwardIn a Young’s Double Slit Experiment the distance between two slits is 0.150 mm and the length from the double slit to the screen is 120 cm. The distance from central fringe to the nth fringe is 2 cm. The wavelength of the light is 750 nm. What is the path difference for the rays from the two slits arriving at a point on the screen, say point P?arrow_forward
- The central bright fringe in a single-slit diffraction pattern has a width that equals the distance between the screen and the slit. Find the ratio λ / W of the wavelength λ of the light to the width W of the slit.arrow_forwardConsider a double-slit diffraction experiment with slits of width 0.260 mm. Monochromatic light of wavelength 435 nm is used. If the value of the parameter for a point that is an angular distance of 0.0120 rad from the center of the central diffraction peak is 31.76 rad, what must be the slit separation (in mm)?arrow_forwardIn a double slit experiment, the slits are separated by 0.1 mm. The slits are illuminated by 585 nm light. The screen is 4 m from the slits. Find a) the difference in path lengths for waves coming through the slits for a 2nd order bright fringe, b) the distance between the 2nd and 3rd dark fringes.arrow_forward
- In a Young's double-slit experiment, the seventh dark fringe is located 0.028 m to the side of the central bright fringe on a flat screen, which is 1.1 m away from the slits. The separation between the slits is 1.7 × 10-4 m. What is the wavelength of the light being used? Seventh dark fringe Number i Double slit Units 0 Central bright fringe Seventh dark fringe Screenarrow_forwardIn a modified Young's double slit experiment, a monochromatic uniform and parallel beam of light of wavelength 6000 A and intensity (10/) Wm2 is incident normally on two apertures A and B of radii 0.001 m and 0.002 m respectively. A perfectly transparent film of thickness 2000 A and refractive index 1.5 for the wavelength of 6000A is placed in front of aperture A (see figure). Calculate the power (in W) received at the focal spot F of the lens. The lens is symmetrically placed with respect to the apertures. Assume that 10% of the power received by each aperture goes in the original direction and is brought to the focal spot.arrow_forwardChapter 35, Problem 019 Suppose that Young's experiment is performed with light of wavelength 497 nm. The slits are 1.74 mm apart, and the viewing screen is 4.51 m from the slits. How far apart are the bright fringes in meters? Number Units Use correct number of significant digits; the tolerance is +/-2%arrow_forward
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