Physics for Scientists and Engineers (Chaps 1-38)
4th Edition
ISBN: 9780132275590
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 34, Problem 29P
(II) A total of 31 bright and 31 dark Newton’s rings (not counting the dark spot at the center) are observed when 560-nm light falls normally on a planoconvex lens resting on a flat glass surface (Fig. 34–18). How much thicker is the center than the edges?
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A total of 35 bright and 35 dark Newton’s rings (notcounting the dark spot at the center) are observed when560-nm light falls normally on a planoconvex lens restingon a flat glass surface (Fig. 24–31). How much thicker isthe lens at the center than the edges?
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Chapter 34 Solutions
Physics for Scientists and Engineers (Chaps 1-38)
Ch. 34.2 - A light beam in air with wavelength = 500 nm,...Ch. 34.4 - What are the values for the intensity I when (a) y...Ch. 34 - Prob. 1QCh. 34 - What is the evidence that light is energy?Ch. 34 - Why is light sometimes described as rays and...Ch. 34 - We can hear sounds around corners but we cannot...Ch. 34 - Can the wavelength of light be determined from...Ch. 34 - Two rays of light from the same source...Ch. 34 - Monochromatic red light is incident on a double...Ch. 34 - If Youngs double-slit experiment were submerged in...
Ch. 34 - Compare a double-slit experiment for sound waves...Ch. 34 - Suppose white light falls on the two slits of Fig....Ch. 34 - Why doesnt the light from the two headlights of a...Ch. 34 - Why are interference fringes noticeable only for a...Ch. 34 - Prob. 13QCh. 34 - Some coated lenses appear greenish yellow when...Ch. 34 - A drop of oil on a pond appears bright at its...Ch. 34 - (II) Derive the law of reflectionnamely, that the...Ch. 34 - (I) Monochromatic light falling on two slits 0.018...Ch. 34 - (I) The third-order bright fringe of 610 nm light...Ch. 34 - (II) Monochromatic light falls on two very narrow...Ch. 34 - (II) If 720-nm and 660-nm light passes through two...Ch. 34 - (II) A red laser from the physics lab is marked as...Ch. 34 - (II) Light of wavelength passes through a pair of...Ch. 34 - (II) Light of wavelength 680 nm falls on two slits...Ch. 34 - (II) A parallel beam of light from a HeNe laser,...Ch. 34 - (II) A physics professor wants to perform a...Ch. 34 - (II) Suppose a thin piece of glass is placed in...Ch. 34 - (II) In a double-slit experiment it is found that...Ch. 34 - (II) Two narrow slits separated by 1.0 mm are...Ch. 34 - (II) In a double-slit experiment, the third-order...Ch. 34 - (II) Light of wavelength 470 nm in air falls on...Ch. 34 - (II) A very thin sheet of plastic (n = 1.60)...Ch. 34 - (I) If one slit in Fig. 3412 is covered, by what...Ch. 34 - (II) Derive an expression similar to Eq. 342 which...Ch. 34 - (II) Show that the angular full width at half...Ch. 34 - (II) In a two-slit interference experiment, the...Ch. 34 - (III) Suppose that one slit of a double-slit...Ch. 34 - (III) (a) Consider three equally spaced and...Ch. 34 - (I) If a soap bubble is 120 nm thick, what...Ch. 34 - (I) How far apart are the dark fringes in Example...Ch. 34 - (II) (a) What is the smallest thickness of a soap...Ch. 34 - (II) A lens appears greenish yellow ( = 570 nm is...Ch. 34 - (II) A thin film of oil (nO = 1.50) with varying...Ch. 34 - (II) A thin oil slick (no = 1.50) finals on water...Ch. 34 - (II) A total of 31 bright and 31 dark Newtons...Ch. 34 - (II) A line metal foil separates one end of two...Ch. 34 - (II) How thick (minimum) should the air layer be...Ch. 34 - (II) A uniform thin film of alcohol (n = 1.36)...Ch. 34 - (II) Show that the radius r of the mth dark...Ch. 34 - (II) Use the result of Problem 33 to show that the...Ch. 34 - (II) When a Newtons ring apparatus (Fig. 3418) is...Ch. 34 - (II) A planoconvex lucite lens 3.4 cm in diameter...Ch. 34 - (II) Lets explore why only thin layers exhibit...Ch. 34 - (II) How far must the mirror M1 in a Michelson...Ch. 34 - (II) What is the wavelength of the light entering...Ch. 34 - (II) A micrometer is connected to the movable...Ch. 34 - (III) One of the beams of an interferometer (Fig,...Ch. 34 - (III) The yellow sodium D lines have wavelengths...Ch. 34 - Prob. 44PCh. 34 - (II) The luminous efficiency of a lightbulb is the...Ch. 34 - Light of wavelength 5.0 107 m passes through two...Ch. 34 - Television and radio waves reflecting from...Ch. 34 - A radio station operating at 88.5 MHz broadcasts...Ch. 34 - Light of wavelength 690 nm passes through two...Ch. 34 - Monochromatic light of variable wavelength is...Ch. 34 - Suppose the mirrors in a Michelson interferometer...Ch. 34 - A highly reflective mirror can be made for a...Ch. 34 - Calculate the minimum thickness needed for an...Ch. 34 - Stealth aircraft are designed to not reflect...Ch. 34 - Light or wavelength strikes a screen containing...Ch. 34 - Consider two antennas radiating 6.0-MHz radio...Ch. 34 - What is the minimum (non-zero) thickness for the...Ch. 34 - Lloyds mirror provides one way of obtaining a...Ch. 34 - Consider the antenna army of Example 345, Fig....Ch. 34 - A thin film of soap (n = 1.34) coats a piece of...Ch. 34 - Two identical sources S1 and S2, separated by...Ch. 34 - A two-slit interference set-up with slit...Ch. 34 - A radio telescope, whose two antennas are...Ch. 34 - In a compact disc (CD), digital information is...
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- If the light source in the preceding problem is changed, the angular position of the third maximum is found to be 0.57°. What is the wavelength of light being used now?arrow_forwardShow that a diffraction grating cannot produce a second-order maximum for a given wavelength of light unless the first-order maximum is at an angle less than 30.0°.arrow_forwardCalculate 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_forward
- Calculate the wavelength of light that has its second-order maximum at 45.0° when falling on a diffraction grating that has 5000 lines per centimeter.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_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
- Check Your Understanding In the preceding example. how much distance inside the block of flint glass would the red and the violet rays have to progress before they are separated b 1.0 mm?arrow_forwardBy how much do the critical angles for red (660 nm) and violet (410 nm) light differ in a diamond surrounded by air?arrow_forwardCheck Your Understanding In the system used in the preceding examples, at what angles are the first and the second bright fringes formed?arrow_forward
- A Michelson interferometer with a He-Ne laser light source (=632.8nm) projects its interference pattern on a screen. If the movable mirror is caused to move by 8.54 m , how many fringes will be observed shifting through a reference point on a screen?arrow_forwardA single slit of width 0.1 mm is illuminated by a mercury light of wavelength 576 nm. Find the intensity at a 10° angle to the axis in terms of the intensity of the central maximum.arrow_forwardShow 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_forward
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