Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 37, Problem 6P
To determine
To reason: The reason for which the given situation is impossible.
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When coherent electromagnetic waves with wavelength λ=120μm are incident on a single slit of width a, the width of the central maximum on a tall screen 1.50 mm from the slit is 90.0 cm.
For the same slit and screen, for what wavelength of the incident waves is the width of the central maximum 180.0 cm, double the value when λ=120μm?
Why is the following situation impossible? Two narrow slits are separated by 8.00 mm in a piece of metal. A beam of microwaves strikes the metal perpendicularly, passes through the two slits, and then proceeds toward a wall some distance away. You know that the wavelength of the radiationis 1.00 cm ±5%, but you wish to measure it more precisely. Moving a microwave detector along the wall to study the interference pattern, you measure the position of the m = 1 bright fringe, which leads to a successful measurement of the wavelength of the radiation.
A circular radar antenna on a Coast Guard ship has a diameter of 2.10 m and radiates at a frequency of 18.0 GHz. Two small boats are located 5.00 km away from the ship. How close together could the boats be and still be detected as two objects?
Chapter 37 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 37.2 - Which of the following causes the fringes in a...Ch. 37.3 - Using Figure 36.6 as a model, sketch the...Ch. 37.5 - One microscope slide is placed on top of another...Ch. 37 - Prob. 1OQCh. 37 - Four trials of Youngs double-slit experiment are...Ch. 37 - Suppose Youngs double-slit experiment is performed...Ch. 37 - Prob. 4OQCh. 37 - Prob. 5OQCh. 37 - Prob. 6OQCh. 37 - Prob. 7OQ
Ch. 37 - Prob. 8OQCh. 37 - Prob. 9OQCh. 37 - A film of oil on a puddle in a parking lot shows a...Ch. 37 - Prob. 1CQCh. 37 - Prob. 2CQCh. 37 - Prob. 3CQCh. 37 - Prob. 4CQCh. 37 - Prob. 5CQCh. 37 - Prob. 6CQCh. 37 - Prob. 7CQCh. 37 - Prob. 8CQCh. 37 - Prob. 9CQCh. 37 - Two slits are separated by 0.320 mm. A beam of...Ch. 37 - Prob. 2PCh. 37 - A laser beam is incident on two slits with a...Ch. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Light with wavelength 442 nm passes through a...Ch. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - A student holds a laser that emits light of...Ch. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Monochromatic coherent light of amplitude E0 and...Ch. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - When a liquid is introduced into the air space...Ch. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45APCh. 37 - Prob. 46APCh. 37 - Prob. 47APCh. 37 - Prob. 48APCh. 37 - Prob. 49APCh. 37 - Prob. 50APCh. 37 - Prob. 51APCh. 37 - In a Youngs interference experiment, the two slits...Ch. 37 - In a Youngs double-slit experiment using light of...Ch. 37 - Prob. 54APCh. 37 - Prob. 55APCh. 37 - Prob. 56APCh. 37 - Prob. 57APCh. 37 - Prob. 58APCh. 37 - Prob. 59APCh. 37 - Prob. 60APCh. 37 - Prob. 61APCh. 37 - Prob. 62APCh. 37 - Prob. 63APCh. 37 - Prob. 64APCh. 37 - Prob. 65APCh. 37 - Prob. 66APCh. 37 - Prob. 67APCh. 37 - Prob. 68APCh. 37 - Prob. 69APCh. 37 - Prob. 70APCh. 37 - Prob. 71CPCh. 37 - Prob. 72CPCh. 37 - Prob. 73CPCh. 37 - Prob. 74CPCh. 37 - Prob. 75CPCh. 37 - Prob. 76CP
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- Figure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d = 50.0 m and both a distance h = 35.0 m above the ground. The receiver can receive signals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180 phase shift occurs upon reflection. Determine the longest wavelengths that interfere (a) constructively and (b) destructively. Figure P36.35 Problems 35 and 36.arrow_forwardInterference is observed between two electromagnetic waves with intensities I1, I2. There is a small tilt angle between the waves so that bright and dark interference fringes are observed across the detector. It is observed that at the bright fringes (constructive interference) the intensity is 450Wm^-2 and at the dark fringes (destructive interference) the intensity is 50 Wm^-2. Solve for I1 and I2. The larger of I1 and I2 is: and The smaller of I1 and I2 is:arrow_forwardThe central bright fringe in a single-slit diffraction pattern has a width that equals the distance between the screen and the slit. Find the ratio λ / W of the wavelength λ of the light to the width W of the slit.arrow_forward
- An interference experiment is performed with monochromatic (one color) laser light. The separation between the slits is 0.600 mm, and the screen is located 7.44 m from the slits. The first bright fringe is located 4.64 mm from the center of the interference pattern. What is the wavelength of the laser light (in nm)?arrow_forwardThe pupil of an eagle’s eye has a diameter of 6.0 mm. Two field mice are separated by 0.010 m. From a distance of 202 m, the eagle sees them as one unresolved object and dives toward them at a speed of 15 m/s. Assume that the eagle’s eye detects light that has a wavelength of 550 nm in vacuum. How much time passes until the eagle sees the mice as separate objects?arrow_forwardAn optical engineer needs to ensure that the bright fringes from a double-slit are 15.7 mm apart on a detector/ screen that is 1.20 m from the slits. If the slits are illuminated with 633 nm light, how far apart should the slits be? 48.4 μm 74.0 μm 49.5 μm 36.0 μm 8.28 nm A horizontally polarized beam of light of intensity 100 W/m2 passes through a polarizer with its transmission axis at 40.0° with the vertical. What is the transmitted intensity of this beam of light? 0 W/m2 50 W/m2 64.3 W/m2 58.7 W/m2 41.3 W/m2 Correct answers are underlined can you help explain?arrow_forward
- A sheet of metal has a large number of slits, each 5.0 mm wide and 20 cm apart. It is used as a diffraction grating for microwaves, producing bangs on a bulkhead. A broad parallel microwave beam is incident normally on the sheet. Considering c = 3.00 × 10⁸ m/s, answer the following two questions about this situation: (A) If the microwave wavelength is 6.0 cm, what is the greatest angle measured from the central maximum for which an intensity maximum occurs? 88⁰ 69° 64° 60⁰ 82° 74°arrow_forwardCoherent electromagnetic radiation is sent through a slit of width 0.0100 mm. For which of the following wavelengths will there be no points in the diffraction pattern where the intensity is zero? (i) Blue light of wavelength 500 nm; (ii) infrared light of wavelength 10.6 mm; (iii) microwaves of wavelength 1.00 mm; (iv) ultraviolet light of wavelength 50.0 nm.arrow_forwardIn a double slit experiment, what is the path difference between two waves that create the third bright band (m=3) from the central bright band? 0.5λ λ 1.5λ 2λ 3λarrow_forward
- The figure shows four different cases where light of wavelength A reflects from both the top and the bottom of a thin film of thickness d. The indices of refraction of the film and the media above and below it are indicated in the figure(Figure 1). Figure 1.6 1 1.5 1.4 1.4 1.5 1.6 1.5 1.6 1.4 2 3 1 of 1 4 1.4 1.6 1.5 Y Part A For which of the cases will the two reflected rays undergo constructive interference if d=X/4? constructive interference occurs in case 2 and case 3 O constructive interference occurs in case 2 and case 4 constructive interference occurs in case 3 and case 4 constructive interference occurs in case 1 and case 2 Submit Part B Request Answer For which of the cases will the two reflected rays undergo constructive interference if d=λ/2? O constructive interference occurs in case 2 and case 3 O constructive interference occurs in case 2 and case 4 O constructive interference occurs in case 3 and case 4 constructive interference occurs in case 1 and case 2arrow_forwardThe width of a slit is 2.3 x 10-5 m. Light with a wavelength of 470 nm passes through this slit and falls on a screen that is located 0.64 m away. In the diffraction pattern, find the width of the bright fringe that is next to the central bright fringe. Number i Single slit Units Bright fringe Bright fringe Second dark fringe First dark fringe Central bright fringe First dark fringe Second dark fringe Screenarrow_forwardConsider two identical antennas separated by 9.00 m that radiate in phase at 120 MHz. A receiver placed 150 m from both antennas measures an intensity I0. The receiver is moved so that it is 1.8 m closer to one antenna than to the other. a) What is the phase difference ϕ between the two radio waves produced by this path difference? b) In terms of I0, what is the intensity measured by the receiver at its new position?arrow_forward
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