Physics for Scientists & Engineers, Volume 2 (Chapters 21-35)
5th Edition
ISBN: 9780134378046
Author: GIANCOLI, Douglas
Publisher: PEARSON
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Textbook Question
Chapter 35, Problem 8P
(II) (a) For a given wavelength λ, what is the minimum slit width for which there will be no diffraction minima? (b) What is the minimum slit width so that no visible light exhibits a diffraction minimum?
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(b) Coherent light is diffracted by a single slit which is 15 µm wide. The central
maximum of the diffracted light has a width of 1.4 cm when it falls on a
screen 0.15 m behind the slit. Determine the wavelength of the incident
light.
(c)
Coherent light that contains two wavelengths, 660 nm (red) and 470 nm (blue), passes
through two narrow slits separated by 0.3 mm, and the interference pattern is observed
on a screen 5 m from the slits. Calculate the distance on the screen between the first-
order bright fringes for red and blue light.
(II) (a) For a given wavelength A, what is the minimum slit
width for which there will be no diffraction minima?
(b) What is the minimum slit width so that no visible light
exhibits a diffraction minimum?
Chapter 35 Solutions
Physics for Scientists & Engineers, Volume 2 (Chapters 21-35)
Ch. 35 - Radio waves and light are both electromagnetic...Ch. 35 - Hold one hand close to your eye and focus on a...Ch. 35 - Explain why diffraction patterns are more...Ch. 35 - For diffraction by a single slit, what is the...Ch. 35 - Describe the single-slit diffraction pattern...Ch. 35 - What happens to the diffraction pattern of a...Ch. 35 - In the single-slit diffraction pattern, why does...Ch. 35 - Discuss the similarities, and differences, of...Ch. 35 - Figure 3510 shows a two-slit interference pattern...Ch. 35 - When both diffraction and interference are taken...
Ch. 35 - Does diffraction limit the resolution of images...Ch. 35 - Give at least two advantages for the use of large...Ch. 35 - Atoms have diameters of about 108 cm. Can visible...Ch. 35 - Which color of visible light would give the best...Ch. 35 - Could a diffraction grating just as well be called...Ch. 35 - Suppose light consisting of wavelengths between...Ch. 35 - What is the difference in the interference...Ch. 35 - White light strikes (a) a diffraction grating and...Ch. 35 - (I) If 680-nm light falls on a slit 0.0365 mm...Ch. 35 - (II) (a) For a given wavelength , what is the...Ch. 35 - (II) If you double the width of a single slit, the...Ch. 35 - (II) If a double-slit pattern contains exactly...Ch. 35 - (II) Design a double-slit apparatus so that the...Ch. 35 - (II) Suppose d = D in a double-slit apparatus, so...Ch. 35 - (II) In a double-slit experiment, let d = 5.00D =...Ch. 35 - (I) What is the angular resolution limit (degrees)...Ch. 35 - (II) The nearest neighboring star to the Sun is...Ch. 35 - (II) The normal lens on a 35-mm camera has a focal...Ch. 35 - (I) A source produces first-order lines when...Ch. 35 - (II) A tungstenhalogen bulb emits a continuous...Ch. 35 - (II) Show that the second- and third-order spectra...Ch. 35 - (II) Suppose the angles measured in Problem 40...Ch. 35 - (II) Missing orders occur for a diffraction...Ch. 35 - The Hubble Space Telescope with an objective...
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- A monochromatic light of unknown wavelength is incident on a slit of width 20 m. A diffraction pattern is seen at a screen 2.5 m away where the central maximum is spread over a distance of 10.0 cm. Find the wavelength.arrow_forwardWhen a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.8 nm for the same double slit?arrow_forwardConsider 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_forward
- Eight slits equally separated by 0.149 mm is uniformly illuminated by a monochromatic light at =523 nm. What is the intensity of a secondary maxima compared to that of the principal maxima?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_forwardCheck Your Understanding Although m, the number of fringes observed, is an integer, which is often regarded as having zero uncertainty, in practical terms, it is all too easy to lose track when counting fringes. In Example 3.6, if you estimate that you might have missed as many as five fringes when you reported m=122 fringes, (a) is the value for the index of refraction worked out in Example 3.6 too large or too small? (b) By how much?arrow_forward
- Why is it much more difficult to see interference fringes for light reflected from a thick piece of glass than from a thin film? Would it be easier if monochromatic light were used?arrow_forwardMonochromatic light of frequency 5.51014 Hz falls on 10 slits separated by 0.020 mm. What is the separation between the first and third maxima on a screen that is 2.0 m from the slits?arrow_forwardA single slit of width 2100 nm is illuminated normally by a wave of wavelength 632.8 nm. Find the phase difference between waves from the top and one third from the bottom of the slit to a point on a screen at a horizontal distance of 2.0 m and vertical distance of 10.0 cm from the center.arrow_forward
- A single slit of width 0.10 mm is illuminated by a mercury lamp of wavelength 576 nm. Find the intensity at a 10° angle to the axis in terms of the intensity of the central maximum.arrow_forwardWhat is the wavelength of light falling on double slits separated by 2.00 m if the third-order maximum is at an angle of 60.0° ?arrow_forwardA transparent film of thickness 250 nm and index of refraction of 1.40 is surrounded by air. What wavelength in a beam of white light at near-normal incidence to the film undergoes destructive interference when reflected?arrow_forward
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