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Concept explainers
Light Is a Wave
C As shown in Figure P35.1, spray paint can be used with a stencil to produce an image that has sharp edges. Should you model the paint as waves or as particles? Explain.
FIGURE P35.1
![Check Mark](/static/check-mark.png)
Whether the spray paint used with a stencil to produce an image that has sharp edges should be modeled as waves or particles.
Answer to Problem 1PQ
The spray paint used with a stencil to produce an image that has sharp edges is modeled as particles.
Explanation of Solution
If the object size is much larger than the wavelength of the light, then it is known as particle model of light, whereas if the object size is less than the wavelength of light then it is known as wave model of light.
In the given problem, the stencil produces an image that has sharp edges because stencil has well defined lines. The size of the well defined lines of the stencil is larger as compared to the wavelength of the paint.
Therefore, the spray paint used with a stencil to produce an image that has sharp edges is modeled as particles.
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Chapter 35 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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- Suppose you are working in an optical fiber manufacturing company and asked by your supervisor to design a single mode optical fiber cable for communication purpose. You are given that the wavelength of light to be transmitted is 2 = 840 nm, the core refractive index is 1.48, and the cladding refractive index is 1.47. What is the core diameter of your optical fiber cable? O a. 0.7784 um O b. 0.9340 um O c. 1.872 µm O d. 3.736 um O e. 11.21 µmarrow_forwardThe lens of a telescope has a diameter of 25 cm. You are using it to look at two stars that are 2 × 10 17 m away from you and 6 × 10 9 m from each other. You are measuring light with a wavelength of 700 nm. As the light goes through the lens, it diffracts. a. Is it possible, using this telescope, to see the two stars as separate stars? b. What is the minimum possible lens diameter you would need in order to resolve these two stars?arrow_forwardA laser beam with wavelength λ = 675 nm hits a grating with n = 4750 grooves per centimeter. A. Calculate the grating spacing, d, in centimeters. B. Find the sin of the angle, θ2, at which the 2nd order maximum will be observed, in terms of d and λ. C. Calculate the numerical value of θ2 in degrees.arrow_forward
- 11. A riverside warehouse has two open doors, as in Figure P24.11. Its interior is lined with a sound-absorbing material. A boat on the river sounds its horn. To per- son A, the sound is loud and clear. To person B, the sound is barely audible. The principal wavelength of the sound waves is 3.00 m. Assuming person B is at the position of the first minimum, determine the dis- tance between the doors, center to center. В - Open door 20.0 m d Open door 150 m- Figure P24.11arrow_forward35. Figure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d - 50.0 m and both a distance A - 35.0 m above the ground. The receiver can receive sig- nals 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 wave- lengths that interfere (a) constructively and (b) destructively. Transmitter Recriver Figure P36.35 Problems 35 and 36.arrow_forward1. a. If a piece of glass (n = 1.5) is coated with a transparent plastic (n = 2.0), will there be a phase shift in either of the beams reflecting off the interfaces (air/plastic and plastic/glass)? How can you tell, without doing the experiment, whether or not there will be a phase shift in either beam? Be specific about what rays are reflecting off what materials. b. So what thickness or thicknesses give the maximum reflection? What thickness or thicknesses (hint: it's thicknesses) give the minimum reflection? Assume that a light of wavelength 500. nm is used, and you may leave the answer in nm. Yes, this is a choice between equations 35.17 and 35.18, but your answer to part a should be helpful in deciding which set.arrow_forward
- The lens of a camera has a thin film coating designed to enhance the ability of the lens to absorb visible light near the middle of the spectrum, specifically light of wavelength 560 nm. If nair = 1.00, nfilmcoating %3D 1.40, and njens 1.55, what is the required minimum thickness of the film coating? Assume that the light is normally incident in the air medium. a. 200 nm O b.250 nm O c. 100 nm O d. 150 nm e. 300 nmarrow_forwardOrange light with a wavelength of 600 nm is incident on a 1.00-mm-thick glass microscope slide.a. What is the light speed in the glass?b. How many wavelengths of the light are inside the slide?arrow_forward4. a. Determine the size of the Airy disk (in m) found at the center of a 4.00-cm diameter lens, with a focal length of 15.0 cm. Assume the incident light wavelength is the middle of the visible spectrum = 550. nm. b. In observational astronomy, we assume that stars, being so far away, are point sources of light, and that the image of a star in a telescope eyepiece is therefore also a point. Given that the average human near-field resolution is 0.10 mm, does your result in part a justify this assumption? Explain your answer, using the value from part a. c. Assume that the objective lens diffraction limit is the only one that matters on a telescope (actually a good assumption, not justified here). What is the angular size (in radians) of the smallest object that can be truly observed as a disk on the 4.00-cm telescope in part a? Can Jupiter (maximum angular size = 51 arc-seconds) be seen as a disk through this telescope? Note that real telescopes have glass or mirror imperfections which…arrow_forward
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