University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 4, Problem 50P
At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0°?
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Chapter 4 Solutions
University Physics Volume 3
Ch. 4 - Check Your Understanding Suppose the slit width in...Ch. 4 - Check Your Understanding For the experiment in...Ch. 4 - Check Your Understanding For the experiment in...Ch. 4 - Check Your Understanding If the line spacing of a...Ch. 4 - Check Your Understanding What is the angular...Ch. 4 - Check Your Understanding For the experiment...Ch. 4 - As the width of the slit producing a single-slit...Ch. 4 - Compare interference and diffraction.Ch. 4 - If you and a friend are on opposite sides of a...Ch. 4 - What happens to the diffraction pattern of a...
Ch. 4 - In our study of diffraction by a single slit, we...Ch. 4 - A rectangular slit is twice as wide as it is high....Ch. 4 - In Equation 4.4, the parameter looks like an...Ch. 4 - Shown below is the central part of the...Ch. 4 - Is higher resolution obtained in a microscope with...Ch. 4 - The resolving power of refracting telescope...Ch. 4 - The distance between atoms in a molecule is about...Ch. 4 - A beam of light always spreads out. Why can a beam...Ch. 4 - Crystal lattices can be examined with X-rays but...Ch. 4 - How can you tell that a hologram is a true...Ch. 4 - If a hologram is recorded using monochromatic...Ch. 4 - What image will one see if a hologram is recorded...Ch. 4 - (a) At what angle is the first minimum for 550-nm...Ch. 4 - (a) Calculate the angle at which a 2.00-m-wide...Ch. 4 - (a) How wide is a single slit that produces its...Ch. 4 - (a) What is the width of a single slit that...Ch. 4 - Find the wavelength of light that has its third...Ch. 4 - (a) Sodium vapor light averaging 589 nm in...Ch. 4 - Consider a single-slit diffraction pattern for...Ch. 4 - (a) Find the angle between the first minima for...Ch. 4 - What is the minimum width of a single slit (in...Ch. 4 - (a) If a single slit produces a first minimum at...Ch. 4 - If the separation between the first and the second...Ch. 4 - A water break at the entrance to a harbor consists...Ch. 4 - An aircraft maintenance technician walks past a...Ch. 4 - A single slit of width 3.0 m is illuminated by a...Ch. 4 - A single slit of width 0.1 mm is illuminated by a...Ch. 4 - The width of the central peak in a single-slit...Ch. 4 - Consider the single-slit diffraction pattern for...Ch. 4 - Two slits of width 2 m, each in an opaque...Ch. 4 - A double slit produces a diffraction pattern that...Ch. 4 - For a double-slit configuration where the slit...Ch. 4 - Light of wavelength 500 nm falls normally on 50...Ch. 4 - A monochromatic light of wavelength 589 nm...Ch. 4 - When a monochromatic light of wavelength 430 nm...Ch. 4 - Determine the intensities of two interference...Ch. 4 - A diffraction grating has 2000 lines per...Ch. 4 - Find the angle for the third-order maximum for...Ch. 4 - How many lines per centimeter are there on a...Ch. 4 - What is the distance between lines on a...Ch. 4 - Calculate the wavelength of light that has its...Ch. 4 - An electric current through hydrogen gas produces...Ch. 4 - (a) What do the four angles in the preceding...Ch. 4 - What is the spacing between structures in a...Ch. 4 - An opal such as that shown in Figure 4.15 acts...Ch. 4 - At what angle does a diffraction grating produce a...Ch. 4 - (a) Find the maximum number of lines per...Ch. 4 - (a) Show that a 30,000 line per centimeter grating...Ch. 4 - The analysis shown below also applies to...Ch. 4 - The 305-m-diameter Arecibo radio telescope...Ch. 4 - Assuming the angular resolution found for the...Ch. 4 - Diffraction spreading for a flashlight is...Ch. 4 - (a) What is the minimum angular spread of a 633-nm...Ch. 4 - A telescope can be used to enlarge the diameter of...Ch. 4 - The limit to the eye’s acuity is actually related...Ch. 4 - What is the minimum diameter mirror on a telescope...Ch. 4 - Find the radius of a star’s image on the retina of...Ch. 4 - (a) The dwarf planet Pluto and its moon, Charon,...Ch. 4 - A spy satellite orbits Earth at a height of 180...Ch. 4 - What is the minimum angular separation of two...Ch. 4 - The headlights of a car are 1.3 m apart. What is...Ch. 4 - When dots are placed on a page from a laser...Ch. 4 - Suppose you are looking down at a highway from a...Ch. 4 - Can an astronaut orbiting Earth in a satellite at...Ch. 4 - The characters of a stadium scoreboard are formed...Ch. 4 - If a microscope can accept light from objects at...Ch. 4 - A camera uses a lens with aperture 2.0 cm. What is...Ch. 4 - X-rays of wavelength 0.103 nm reflects off a...Ch. 4 - A first-order Bragg reflection maximum is observed...Ch. 4 - An X-ray scattering experiment is performed on a...Ch. 4 - The structure of the NaCl crystal forms reflecting...Ch. 4 - On a certain crystal, a first-order X-ray...Ch. 4 - Calcite crystals contain scattering planes...Ch. 4 - The first-order Bragg angle for a certain crystal...Ch. 4 - White light falls on two narrow slits separated by...Ch. 4 - Microwaves of wavelength 10.0 mm fall normally on...Ch. 4 - Quasars, or quasi-stellar radio sources, are...Ch. 4 - Two slits each of width 1800 nm and separated by...Ch. 4 - A microwave of an unknown wavelength is incident...Ch. 4 - Red light (wavelength 632.8 nm in air) from a...Ch. 4 - A light ray of wavelength 461.9 nm emerges from a...Ch. 4 - How far apart must two objects be on the moon to...Ch. 4 - How far apart must two objects be on the moon to...Ch. 4 - A spy satellite is reputed to be able to resolve...Ch. 4 - Monochromatic light of wavelength 530 nm passes...Ch. 4 - A monochromatic light of unknown wavelength is...Ch. 4 - A source of light having two wavelengths 550 nm...Ch. 4 - A single slit of width 2100 nm is illuminated...Ch. 4 - A single slit of width 3.0 m is illuminated by a...Ch. 4 - A single slit of width 0.10 mm is illuminated by a...Ch. 4 - A diffraction grating produces a second maximum...Ch. 4 - A grating with 4000 lines per centimeter is used...Ch. 4 - A diffraction grating with 2000 lines per...Ch. 4 - For white light (400nm700nm) falling normally on a...Ch. 4 - How many complete orders of the visible spectrum...Ch. 4 - Two lamps producing light of wavelength 589 nm are...Ch. 4 - On a bright clear day, you are at the top of a...Ch. 4 - Radio telescopes are telescopes used for the...Ch. 4 - Calculate the wavelength of light that produces...Ch. 4 - (a) Find the angle of the third diffraction...Ch. 4 - As an example of diffraction by apertures of...Ch. 4 - What are the angular positions of the first and...Ch. 4 - How far would you place a screen from the slit of...Ch. 4 - How narrow is a slit that produces a diffraction...Ch. 4 - Suppose that the central peak of a single-slit...Ch. 4 - The central diffraction peak of the double-slit...Ch. 4 - Determine the intensities of three interference...Ch. 4 - The yellow light from a sodium vapor lamp seems to...Ch. 4 - Structures on a bird feather act like a reflection...Ch. 4 - If a diffraction grating produces a first-order...Ch. 4 - (a) What visible wavelength has its fourth-order...Ch. 4 - Consider a spectrometer based on a diffraction...Ch. 4 - An amateur astronomer wants to build a telescope...Ch. 4 - Blue light of wavelength 450 nm falls on a slit of...Ch. 4 - (a) Assume that the maxima are halfway between the...Ch. 4 - (a) By differentiating Equation 4.4, show that the...Ch. 4 - What is the maximum number of lines per centimeter...Ch. 4 - Show that a diffraction grating cannot produce a...Ch. 4 - A He-Ne laser beam is reflected from the surface...Ch. 4 - Objects viewed through a microscope are placed...
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- If a diffraction grating produces a first-order maximum for the shortest wavelength of visible light at 30.0°, at what angle will the first-order maximum be for the largest wavelength of visible light?arrow_forwardWhite light is spread out into its spectral components by a diffraction grating. If the grating has 2 000 grooves per centimeter, at what angle does red light of wavelength 640 nm appear in first order?arrow_forwardMonochromatic light is incident on a pair of slits that are separated by 0.200 mm. The screen is 2.50 m away from the slits. a. If the distance between the central bright fringe and either of the adjacent bright fringes is 1.67 cm, find the wavelength of the incident light. b. At what angle does the next set of bright fringes appear?arrow_forward
- What is the distance between lines on a diffraction grating that produces a second-order maximum for 760-nm red light at an angle of 60.0°?arrow_forwardHow many complete orders of the visible spectrum (400nm700nm) can be produced with a diffraction grating that contains 5000 lines per centimeter?arrow_forwardIf the separation between the first and the second minima of a single-slit diffraction pattern is 6.0 mm, what is the distance between the screen and the slit? The light wavelength is 500 nm and the slit width is 0.16 mm.arrow_forward
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- A diffraction grating produces a second maximum that is 89.7 cm from the central maximum on a screen 2.0 m away. If the grating has 600 lines per centimeter, what is the wavelength of the light that produces the diffraction pattern?arrow_forwardConstructive interference is observed from directly above an oil slick for wavelengths (in air) 440 nm and 616 nm. The index of refraction of this oil is n=1.54 . What is the film’s minimum possible thickness?arrow_forwardFind the angle for the third-order maximum for 580-nm-wavelength yellow light falling on a difraction grating having 1500 lines per centimeter.arrow_forward
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