University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 36, Problem 36.28E
The wavelength range of the visible spectrum is approximately 380-750 nm. White light falls at normal incidence on a diffraction grating that has 350 slits/mm. Find the angular width of the visible spectrum in (a) the first order and (b) the third order. (Note: An advantage of working in higher orders is the greater angular spread and better resolution. A disadvantage is the overlapping of different orders, as shown in Example 36.4.)
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Students have asked these similar questions
First-order Bragg scattering from a certain crystal occurs at an angle of incidence of
63.8°; see figure below. The wavelength of the x-rays is 0.261nm. Assuming that the
scattering is from the dashed planes shown, find the unit cell size ao.
63.8°
X rays
When an x-ray beam is scattered off the planes of a
crystal, the scattered beam creates an interference
pattern. This phenomenon is called Bragg scattering. For
an observer to measure an interference maximum, two
conditions have to be satisfied:
1. The angle of incidence has to be equal to
the angle of reflection.
2. The difference in the beam's path from a
source to an observer for neighboring
planes has to be equal to an integer
multiple of the wavelength; that is,
2d sin(0) = mx for m = 1, 2, ....
The path difference 2d sin(0) can be determined from
the diagram (Figure 1). The second condition is known as
the Bragg condition.
Figure
1 of 1
d sine
d sine
Review
nstants
Part A
An x-ray beam with wavelength 0.260 nm is directed at a crystal. As the angle of incidence increases, you observe
the first strong interference maximum at an angle 20.5 °. What is the spacing d between the planes of the crystal?
Express your answer in nanometers to four significant figures.
VE ΑΣΦ
?
d =
nm…
Angel is experimenting with a diffraction grating of unknown spacing. He is looking to
determine the wavelength of the light in the emission spectrum of a gas and finds that a
light having a known wavelength of 602.4nm is deflected by 42.1 ° away from the
central maximum in the second order by this grating. Light of the wavelength to be
measured is deflected by 45.7° away from the central maximum in the second order.
What is the wavelength of this light in nanometers? Please give your answer as a whole
number.
Chapter 36 Solutions
University Physics (14th Edition)
Ch. 36 - Why can we readily observe diffraction effects for...Ch. 36 - Prob. Q36.2DQCh. 36 - You use a lens of diameter D and light of...Ch. 36 - Light of wavelength and frequency f passes...Ch. 36 - In a diffraction experiment with waves of...Ch. 36 - An interference pattern is produced by four...Ch. 36 - Phasor Diagram for Eight Slits. An interference...Ch. 36 - A rainbow ordinarily shows a range of colors (see...Ch. 36 - Some loudspeaker horns for outdoor concerts (at...Ch. 36 - Figure 31.12 (Section 31.2) shows a loudspeaker...
Ch. 36 - Prob. Q36.11DQCh. 36 - With which color of light can the Hubble Space...Ch. 36 - At the end of Section 36.4, the following...Ch. 36 - Prob. Q36.14DQCh. 36 - Why is a diffraction grating better than a...Ch. 36 - One sometimes sees rows of evenly spaced radio...Ch. 36 - Prob. Q36.17DQCh. 36 - Prob. Q36.18DQCh. 36 - Ordinary photographic film reverses black and...Ch. 36 - Monochromatic light from a distant source is...Ch. 36 - Parallel rays of green mercury light with a...Ch. 36 - Light of wavelength 585 nm falls on a slit 0.0666...Ch. 36 - Light of wavelength 633 nm from a distant source...Ch. 36 - Diffraction occurs for all types of waves,...Ch. 36 - CP Tsunami! On December 26, 2004, a violent...Ch. 36 - Prob. 36.7ECh. 36 - Monochromatic electromagnetic radiation with...Ch. 36 - Doorway Diffraction. Sound of frequency 1250 Hz...Ch. 36 - Figure 31.12 (Section 31.2) shows a loudspeaker...Ch. 36 - Red light of wavelength 633 nm from a helium neon...Ch. 36 - Public Radio station KXPR-FM in Sacramento...Ch. 36 - Monochromatic light of wavelength 580 nm passes...Ch. 36 - Monochromatic light of wavelength = 620 nm from a...Ch. 36 - A slit 0.240 mm wide is illuminated by parallel...Ch. 36 - Monochromatic light of wavelength 592 nm from a...Ch. 36 - A single-slit diffraction pattern is formed by...Ch. 36 - Parallel rays of monochromatic light with...Ch. 36 - Number of Fringes in a Diffraction Maximum. In...Ch. 36 - Diffraction and Interference Combined. Consider...Ch. 36 - An interference pattern is produced by light of...Ch. 36 - Laser light of wavelength 500.0 nm illuminates two...Ch. 36 - When laser light of wavelength 632.8 nm passes...Ch. 36 - Monochromatic light is at normal incidence on a...Ch. 36 - If a diffraction grating produces its third-order...Ch. 36 - If a diffraction grating produces a third-order...Ch. 36 - Visible light passes through a diffraction grating...Ch. 36 - The wavelength range of the visible spectrum is...Ch. 36 - (a) What is the wavelength of light that is...Ch. 36 - CDs and DVDs as Diffraction Gratings. A laser beam...Ch. 36 - A typical laboratory diffraction grating has 5.00 ...Ch. 36 - Identifying Isotopes by Spectra. Different...Ch. 36 - The light from an iron arc includes many different...Ch. 36 - If the planes of a crystal are 3.50 (1 = 1010 m...Ch. 36 - Prob. 36.35ECh. 36 - Monochromatic x rays are incident on a crystal for...Ch. 36 - Monochromatic light with wavelength 620 nm passes...Ch. 36 - Monochromatic light with wavelength 490 nm passes...Ch. 36 - Two satellites at an altitude of 1200 km are...Ch. 36 - BIO If you can read the bottom row of your doctors...Ch. 36 - The VLBA (Very Long Baseline Array) uses a number...Ch. 36 - Searching for Planets Around Other Stars. If an...Ch. 36 - Hubble Versus Arecibo. The Hubble Space Telescope...Ch. 36 - Photography. A wildlife photographer uses a...Ch. 36 - Observing Jupiter. You are asked to design a space...Ch. 36 - Coherent monochromatic light of wavelength passes...Ch. 36 - BIO Thickness of Human Hair. Although we have...Ch. 36 - CP A loudspeaker with a diaphragm that vibrates at...Ch. 36 - Laser light of wavelength 632.8 nm falls normally...Ch. 36 - Grating Design. Your boss asks you to design a...Ch. 36 - Measuring Refractive Index. A thin slit...Ch. 36 - Underwater Photography. An underwater camera has a...Ch. 36 - CALC The intensity of light in the Fraunhofer...Ch. 36 - A slit 0.360 mm wide is illuminated by parallel...Ch. 36 - CP CALC In a large vacuum chamber, monochromatic...Ch. 36 - CP In a laboratory, light from a particular...Ch. 36 - What is the longest wavelength that can be...Ch. 36 - It has been proposed to use an array of infrared...Ch. 36 - A diffraction grating has 650 slits/mm. What is...Ch. 36 - Quasars, an abbreviation for quasi-stellar radio...Ch. 36 - A glass sheet is covered by a very thin opaque...Ch. 36 - BIO Resolution of the Eye. The maximum resolution...Ch. 36 - DATA While researching the use of laser pointers,...Ch. 36 - DATA Your physics study partner tells you that the...Ch. 36 - DATA At the metal fabrication company where you...Ch. 36 - Intensity Pattern of N Slits. (a) Consider an...Ch. 36 - CALC Intensity Pattern of N Silts, Continued. Part...Ch. 36 - CALC It is possible to calculate the intensity in...Ch. 36 - Prob. 36.69PPCh. 36 - BRAGG REFLECTION ON A DIFFERENT SCALE. A colloid...Ch. 36 - BRAGG REFLECTION ON A DIFFERENT SCALE. A colloid...
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