Physics for Scientists & Engineers with Modern Physics [With Access Code]
4th Edition
ISBN: 9780321712592
Author: GIANCOLI
Publisher: Pearson College Div
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Textbook Question
Chapter 35, Problem 77GP
Al what angle should the axes of two Polaroids be placed so as to reduce the intensity of the incident unpolarized light by an additional factor (after the first Polaroid cuts it in half) of (a) 4, (b) 10, (c) 100?
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Physics for Scientists & Engineers with Modern Physics [With Access Code]
Ch. 35.1 - Single-slit diffraction maximum. Light of...Ch. 35.4 - Green light (550 nm) passes through a...Ch. 35.5 - What is the resolving power of a microscope with a...Ch. 35.10 - Prob. 1DECh. 35.11 - CONCEPTUAL EXAMPLE 3514 Three Polaroids. We saw in...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 - Explain why there are tiny peaks between the main...Ch. 35 - What does polarization tell us about the nature of...Ch. 35 - How can you tell if a pair of sunglasses is...Ch. 35 - Prob. 23QCh. 35 - (I) If 680-nm light falls on a slit 0.0365 mm...Ch. 35 - (I) Monochromatic light falls on a slit that is...Ch. 35 - (II) Light of wavelength 580 nm falls on a slit...Ch. 35 - (II) Consider microwaves which are incident...Ch. 35 - (II) If parallel light falls on a single slit of...Ch. 35 - (II) Monochromatic light of wavelength 633 nm...Ch. 35 - (II) If a slit diffracts 580-nm light so that the...Ch. 35 - (II) (a) For a given wavelength , what is the...Ch. 35 - (II) When blue light of wavelength 440 nm falls on...Ch. 35 - (II) A single slit 1.0 mm wide is illuminated by...Ch. 35 - (II) Coherent light from a laser diode is emitted...Ch. 35 - (II) If you double the width of a single slit, the...Ch. 35 - (II) Light of wavelength 750 nm passes through a...Ch. 35 - (II) If a double-slit pattern contains exactly...Ch. 35 - (II) Design a double-slit apparatus so that the...Ch. 35 - (II) 605-nm light passes through a pair of slits...Ch. 35 - (II) Two 0.010-mm-wide slits are 0.030mm apart...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 - (II) How many fringes are contained in the central...Ch. 35 - (I) What is the angular resolution limit (degrees)...Ch. 35 - (II) Two stars 16 light-years away are barely...Ch. 35 - (II) The nearest neighboring star to the Sun is...Ch. 35 - (II) If you shine a flashlight beam toward the...Ch. 35 - (II) Suppose that you wish to construct a...Ch. 35 - (II) The normal lens on a 35-mm camera has a focal...Ch. 35 - (I) At what angle will 480-nm light produce a...Ch. 35 - (I) A source produces first-order lines when...Ch. 35 - (I) A 3500-line/cm grating produces a third-order...Ch. 35 - (I) A grating has 6800 lines/cm. How many spectral...Ch. 35 - (II) How many lines per centimeter does a grating...Ch. 35 - (II) Red laser light from a He-Ne laser ( = 632.8...Ch. 35 - (II) White light containing wavelengths from 410...Ch. 35 - (II) A diffraction grating has 6.0 l05 lines/m....Ch. 35 - (II) A tungstenhalogen bulb emits a continuous...Ch. 35 - (II) Show that the second- and third-order spectra...Ch. 35 - (II) Two first-order spectrum lines are measured...Ch. 35 - (II) Suppose the angles measured in Problem 40...Ch. 35 - (II) The first-order line of 589-nm light falling...Ch. 35 - Prob. 43PCh. 35 - (II) Missing orders occur for a diffraction...Ch. 35 - (II) A 6500-line/cm diffraction grating is 3.18 cm...Ch. 35 - (II) A diffraction grating has 16,000 rulings in...Ch. 35 - (II) Let 580-nm light be incident normally on a...Ch. 35 - Prob. 49PCh. 35 - (II) First-order Bragg diffraction is observed at...Ch. 35 - Prob. 51PCh. 35 - (I) Two polarizers are oriented at 65 to one...Ch. 35 - (I) Two Polaroids are aligned so that the light...Ch. 35 - (I) What is Brewsters angle for an airglass (n =...Ch. 35 - (I) What is Brewsters angle for a diamond...Ch. 35 - (II) The critical angle for total internal...Ch. 35 - (II) At what angle should the axes of two...Ch. 35 - (II) Two polarizers are oriented at 36.0 to one...Ch. 35 - (II) What would Brewsters angle be for reflections...Ch. 35 - (II) Unpolarized light passes through six...Ch. 35 - (II) Two polarizers A and B are aligned so that...Ch. 35 - (III) The percent polarization P of a partially...Ch. 35 - When violet light of wavelength 415 nm falls on a...Ch. 35 - A series of polarizers are each placed at a 10...Ch. 35 - The wings of a certain beetle have a series of...Ch. 35 - A teacher stands well back from an outside doorway...Ch. 35 - Light is incident on a diffraction grating with...Ch. 35 - How many lines per centimeter must a grating have...Ch. 35 - When yellow sodium light, = 589 nm, falls on a...Ch. 35 - Prob. 70GPCh. 35 - (a) How far away can a human eye distinguish two...Ch. 35 - A laser beam passes through a slit of width 1.0 cm...Ch. 35 - Prob. 73GPCh. 35 - At what angle above the horizon is the Sun when...Ch. 35 - Unpolarized light tails on two polarizer sheets...Ch. 35 - Al what angle should the axes of two Polaroids be...Ch. 35 - Four polarizers are placed in succession with...Ch. 35 - Spy planes fly at extremely high altitudes (25 km)...Ch. 35 - Two polarizers are oriented at 48 to each other...Ch. 35 - Prob. 81GPCh. 35 - The Hubble Space Telescope with an objective...Ch. 35 - The Earth and Moon are separated by about 400 106...Ch. 35 - A slit of width D = 22 m is cut through a thin...
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- Verify that the critical angle for light going from water to air is 48.6°, as discussed at the end of Example 1.4, regarding the critical angle for lig1it traveling in a polystyrene (a type of plastic) pipe surrounded by air.arrow_forwardCheck Your Understanding What happens at Brewster’s angle if the original incident light is already 100% vertically polarized?arrow_forwardSuppose you are using total internal reflection to make an efficient corner reflector. If there is air outside and the incident angle is 45.0°, what must be the minimum index of refraction of the material from which the reflector is made?arrow_forward
- Check Your Understanding Although we did no specify the direction in Example 1.7, let’s say the polarizing filter was rotated clockwise by 71.6° to reduce the light intensity by 90.0%. What would be the intensity reduction if the polarizing filter were rotated counterclockwise by 71.6°’arrow_forwardAt the end of Example 17, it was stated that the intensity of polarized light is reduced to 90.0% of its original value by passing through a polarizing filter with its axis at an angle of 18.4° to the direction of polarization. Verify this statement.arrow_forwardHow is the difference in paths taken by two originally in-phase light waves related to whether they interfere constructively or destructively? How can this be affected by reflection? By refraction?arrow_forward
- Show that if you have three polarizing filters, with the second at an angle of 45.0to the first and at third at an angle of 90.0to the first, the intensity of light passed by the first will be reduced to 25.0% of its value. (This is in contrast to having only the first and third, which reduces the intensity to zero, so that placing the second between them increases the intensity of the transmitted light.)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_forwardAt what angle ill lig1t reflected from diamond be completely polarized?arrow_forward
- Check Your Understanding At the surface between air and water, light rays can go from air to water and from water to air. For which ray is there no possibility of total internal reflection?arrow_forwardProve that if I is the intensity of light transmitted by two polarizing filters with axes at an angle and I’ is the intensity when the axes are at an angle 90.0, then I+I=I0, the original intensity. (Hint: Use the trigonometric identities cos 90.0=sinand cos2sin2=1 .)arrow_forwardIf b is Brewster's angle for light reflected from the top of an interface between two substances, and b is Brewster's angle for light reflected from below, prove that b+b=90.0.arrow_forward
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