Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 36, Problem 60P
To determine
To find:
Number of lines in grating needed to resolve sodium doublet,
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The D line in the spectrum of sodium is a doublet with wavelengths 589.0 and 589.6 nm. Calculate the minimum number of lines needed in a grating that will resolve this doublet in the second-order spectrum.
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In the lab, you want to use a spectrometer to study the emission spectrum of a gas. This device works by having the light go through a diffraction grating and then carefully measuring the angle at which the light exits the grating. The problem is that the grating that you have is not labeled, so you do not know the spacing. To calibrate the spectrometer, you send a HeNe laser (wavelength 632.8nm) through the grating and observe it to exit at an angle of 37.6° in the second order by this grating. (For obscure technical reasons, the first order is not observable.) Light from the gas is then measured to be deflected by 34.9° in the second order. What is the wavelength of the light that is to be measured?
Chapter 36 Solutions
Fundamentals of Physics Extended
Ch. 36 - You are conducting a single-slit diffraction...Ch. 36 - In a single-slit diffraction experiment, the top...Ch. 36 - For three experiments, Fig. 36-30 gives the...Ch. 36 - For three experiments, Fig. 36-31 gives versus...Ch. 36 - Figure 36-32 shows four choices for the...Ch. 36 - Prob. 6QCh. 36 - At night many people see rings called entoptic...Ch. 36 - a For a given diffraction grating, does the...Ch. 36 - Figure 36-33 shows a red line and a green line of...Ch. 36 - For the situation of Question 9 and Fig. 36-33, if...
Ch. 36 - a Figure 36-34a shows the lines produced by...Ch. 36 - Figure 36-35 shows the bright fringes that lie...Ch. 36 - In three arrangements you view two closely spaced...Ch. 36 - For a certain diffraction grating, the ratio /a of...Ch. 36 - GO The distance between the first and fifth minima...Ch. 36 - What must be the ratio of the slit width to the...Ch. 36 - A plane wave of wavelength 590 nm is incident on a...Ch. 36 - In conventional television, signals are broadcast...Ch. 36 - A single slit is illuminated by light of...Ch. 36 - Monochromatic light of wavelength 441 nm is...Ch. 36 - Light of wavelength 633 nm is incident on a narrow...Ch. 36 - Sound waves with frequency 3000 Hz and speed 343...Ch. 36 - SSM ILW A slit 1.00 mm wide is illuminated by...Ch. 36 - GO Manufacturers of wire and other objects of...Ch. 36 - A 0.10-mm-wide slit is illuminated by light of...Ch. 36 - Figure 36-38 gives versus the sine of the angle ...Ch. 36 - Monochromatic light with wavelength 538 nm is...Ch. 36 - In the single-slit diffraction experiment of Fig....Ch. 36 - SSM WWW The full width at half-maximum FWHM of a...Ch. 36 - Babinets principle. A monochromatic beam of...Ch. 36 - a Show that the values of a at which intensity...Ch. 36 - The wall of a large room is covered with acoustic...Ch. 36 - a How far from grains of red sand must you be to...Ch. 36 - The radar system of a navy cruiser transmits at a...Ch. 36 - SSM WWW Estimate the linear separation of two...Ch. 36 - Prob. 22PCh. 36 - SSM The two headlights of an approaching...Ch. 36 - Entoptic halos. If someone looks at a bright...Ch. 36 - ILW Find the separation of two points on the Moons...Ch. 36 - The telescopes on some commercial surveillance...Ch. 36 - If Superman really had x-ray vision at 0.10 nm...Ch. 36 - GO The wings of tiger beetles Fig. 36-41 are...Ch. 36 - a What is the angular separation of two stars if...Ch. 36 - GO Floaters. The floaters you see when viewing a...Ch. 36 - SSM Millimeter-wave radar generates a narrower...Ch. 36 - a A circular diaphragm 60 cm in diameter...Ch. 36 - Prob. 33PCh. 36 - Prob. 34PCh. 36 - Suppose that the central diffraction envelope of a...Ch. 36 - A beam of light of a single wavelength is incident...Ch. 36 - In a double-slit experiment, the slit separation d...Ch. 36 - In a certain two-slit interference pattern, 10...Ch. 36 - Light of wavelength 440 nm passes through a double...Ch. 36 - GO Figure 36-45 gives the parameter of Eq. 36-20...Ch. 36 - GO In the two-slit interference experiment of Fig....Ch. 36 - GO a In a double-slit experiment, what largest...Ch. 36 - SSM WWW a How many bright fringes appear between...Ch. 36 - Perhaps to confuse a predator, some tropical...Ch. 36 - A diffraction grating 20.0 mm wide has 6000...Ch. 36 - Visible light is incident perpendicularly on a...Ch. 36 - SSM ILW A grating has 400 lines/mm. How many...Ch. 36 - A diffraction grating is made up of slits of width...Ch. 36 - SSM WWW Light of wavelength 600 nm is incident...Ch. 36 - With light from a gaseous discharge tube incident...Ch. 36 - GO A diffraction grating having 180 lines/mm is...Ch. 36 - GO A beam of light consisting of wavelengths from...Ch. 36 - Prob. 53PCh. 36 - Derive this expression for the intensity pattern...Ch. 36 - SSM ILW A source containing a mixture of hydrogen...Ch. 36 - a How many rulings must a 4.00-cm-wide diffraction...Ch. 36 - Light at wavelength 589 nm from a sodium lamp is...Ch. 36 - A grating has 600 rulings/mm and is 5.0 mm wide. a...Ch. 36 - A diffraction grating with a width of 2.0 cm...Ch. 36 - Prob. 60PCh. 36 - With a particular grating the sodium doublet...Ch. 36 - A diffraction grating illuminated by monochromatic...Ch. 36 - Assume that the limits of the visible spectrum are...Ch. 36 - What is the smallest Bragg angle for x rays of...Ch. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - Prob. 67PCh. 36 - If first-order reflection occurs in a crystal at...Ch. 36 - X rays of wavelength 0.12 nm are found to undergo...Ch. 36 - Prob. 70PCh. 36 - Prob. 71PCh. 36 - Prob. 72PCh. 36 - Consider a two-dimensional square crystal...Ch. 36 - An astronaut in a space shuttle claims she can...Ch. 36 - SSM Visible light is incident perpendicularly on a...Ch. 36 - A beam of light consists of two wavelengths,...Ch. 36 - SSM In a single-slit diffraction experiment, there...Ch. 36 - GO A double-slit system with individual slit...Ch. 36 - SSM A diffraction grating has resolving power R =...Ch. 36 - The pupil of a persons eye has a diameter of 5.00...Ch. 36 - Prob. 81PCh. 36 - A grating with d = 1.50 m is illuminated at...Ch. 36 - SSM In two-slit interference, if the slit...Ch. 36 - GO In a two-slit interference pattern, what is the...Ch. 36 - A beam of light with a narrow wavelength range...Ch. 36 - If you look at something 40 m from you, what is...Ch. 36 - Two yellow flowers are separated by 60 cm along a...Ch. 36 - In a single-slit diffraction experiment, what must...Ch. 36 - A diffraction grating 3.00 cm wide produces the...Ch. 36 - A single-slit diffraction experiment is set up...Ch. 36 - A diffraction grating has 8900 slits across 1.20...Ch. 36 - In an experiment to monitor the Moons surface with...Ch. 36 - In June 1985, a laser beam was sent out from the...Ch. 36 - A diffraction grating 1.00 cm wide has 10 000...Ch. 36 - SSM If you double the width of a single slit, the...Ch. 36 - When monochromatic light is incident on a slit...Ch. 36 - A spy satellite orbiting at 160 km above Earths...Ch. 36 - Suppose that two points are separated by 2.0 cm....Ch. 36 - A diffraction grating has 200 lines/mm. Light...Ch. 36 - A diffraction grating has 200 rulings/mm, and it...Ch. 36 - Prob. 101PCh. 36 - Monochromatic light wavelength = 450 nm is...Ch. 36 - Light containing a mixture of two wavelengths, 500...Ch. 36 - Prob. 104PCh. 36 - Show that a grating made up of alternately...Ch. 36 - Light of wavelength 500 nm diffracts through a...Ch. 36 - If, in a two-slit interference pattern, there are...Ch. 36 - White light consisting of wavelengths from 400 nm...Ch. 36 - If we make d = a in Fig. 36-50, the two slits...Ch. 36 - Derive Eq. 36-28, the expression for the...Ch. 36 - Prob. 111PCh. 36 - How many orders of the entire visible spectrum...Ch. 36 - An acoustic double-slit system of slit separation...Ch. 36 - Two emission lines have wavelengths and ,...
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