University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 36.5, Problem 36.5TYU
What minimum number of slits would be required in a grating to resolve the sodium doublet in the fourth order? (i) 250; (ii) 400; (iii) 1000; (iv) 4000.
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What minimum number of slits would be required in a grating to resolve the sodium doublet in the fourth order? (i) 250; (ii) 400; (iii) 1000; (iv) 4000.
i) An optical fibre core and cladding refractive indices are 1.45 and 1.44 respectively.
Compute its numerical aperture.
ii) Two waves, yı = 6 sin (533.8 t –942 x –11.38) and y2 = 8 sin (533.8t –942 x -20.8)
interfere. Estimate
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(iv) the resultant intensity.
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falling on a single slit of width 1.00 µm ? (b) Will there be a second minimum?
Chapter 36 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 36.1 - Can sound waves undergo diffraction around an...Ch. 36.2 - Rank the following single-slit diffraction...Ch. 36.3 - Coherent electromagnetic radiation is sent through...Ch. 36.4 - Suppose two slits, each of width a, are separated...Ch. 36.5 - What minimum number of slits would be required in...Ch. 36.6 - Prob. 36.6TYUCh. 36.7 - Prob. 36.7TYUCh. 36 - Why can we readily observe diffraction effects for...Ch. 36 - Prob. 36.2DQCh. 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. 36.11DQCh. 36 - With which color of light can the Hubble Space...Ch. 36 - At the end of Section 36.4, the following...Ch. 36 - Prob. 36.14DQCh. 36 - Why is a diffraction grating better than a...Ch. 36 - One sometimes sees rows of evenly spaced radio...Ch. 36 - Prob. 36.17DQCh. 36 - Prob. 36.18DQCh. 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 - Prob. 36.71PP
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- Calculate the wavelength of light that produces its first minimum at an angle of 36.9° when falling on a single slit of width 1.00 m.arrow_forwardFor 600-nm wavelength light and a slit separation of 0.12 mm, what are the angular positions of the first and third maxima in the double slit interference pattern?arrow_forwardA camera uses a lens with aperture 2.0 cm. What is the angular resolution of a photograph taken at 700 nm wavelength? Can it resolve the millimeter markings of a ruler placed 35 m away?arrow_forward
- In a thermally stabilized lab, a Michelson interferometer is used to monitor the temperature to ensure it stays constant. The movable mirror is mounted on the end of a 1.00-m-long aluminum rod, held fixed at the other end. The light source is a He Ne laser, =632.8 nm . The resolution of this apparatus corresponds to the temperature difference when a change of just one fringe is observed. What is this temperature difference?arrow_forwardPhysics (I) To separate two spectral lines of wavelengths 586.38 nm and 586.81 nm, a 3.1 cm wide grating is available. (a) What is the required resolving power? (b) How many lines does the grating need to have to separate these lines to second order?arrow_forward(i.) At what angle do you observe the 4th order maximum relative to the central maximum when 400 nm light is incident normally on two slits separated by 0.025 mm? (a) 1.83◦ (b) 2.75◦ (c) 3.67◦ (d) 4.13◦ (e) None of the above (ii.) At what angle do you observe the 3rd order minimum? Set-up is the same as above and with a slit separation of 0.025 mm. (a) 2.29◦ (b) 3.45◦ (c) 5.58◦ (d) 1.79◦(e) none of the abovearrow_forward
- 4 For three experiments, Fig. 36-31 gives a versus angle e in one-slit diffraction using light of wavelength 500 nm. Rank the ex- periments according to (a) the slit widths and (b) the total number of diffraction minima in the pattern, greatest first.arrow_forward(i.) At what angle do you observe the 4th order maximum relative to the central maximum when 400 nm light is incident normally on two slits separated by 0.025 mm? (a) 1.83◦ (b) 2.75◦ (c) 3.67◦ (d) 4.13◦ (e) None of the above (ii.) At what angle do you observe the 3rd order minimum? Set-up is the same as above and with a slit separation of 0.025 mm. (a) 2.29◦ (b) 3.45◦ (c) 5.58◦ (d) 1.79◦ (e) None of the abovearrow_forward..40 Go Figure 36-45 gives the pa- ß (rad) rameter of Eq. 36-20 versus the ßs sine of the angle in a two-slit inter- ference experiment using light of wavelength 435 nm. The vertical axis scale is set by B, = 80.0 rad. What are (a) the slit separation, (b) the total number of interference maxima (count them on both sides of the pattern's center), (c) the smallest angle for a maxima, and (d) the greatest angle for a minimum? Assume that none of the interference maxima are completely eliminated by a diffraction minimum. 0 sin 0 0.5 1 Figure 36-45 Problem 40.arrow_forward
- 1. (a) If a single slit produces a first minimum at 15 degrees, at what angle is the second-order minimum? 02= (b) What is the angle of the third-order minimum? 83= (c) Is there a fourth-order minimum? – Choose from Yes or No. Yes No Rut activityarrow_forward(a) In Young's double slit experiment, nine 'bright' distances were 1.6 cm detected on a screen 1.0 m from the slit. The distance between the gaps is 0.2 mm. Determine the wavelength of the light?arrow_forwardThe distance between the first and fifth minima of a single-slit diffraction pattern is 0.450 mm with the screen 35.0 cm away from the slit, when light of wavelength 540 nm is used. (a) Find the slit width. (b) Calculate the angle e of the first diffraction minimurh. (a) Number 168 Units m (b) Number 0.00000194 Units radarrow_forward
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