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- A riverside warehouse has several small doors facing the river. Two of these doors are open as shown in Figure P27.17. The walls of the warehouse are lined with sound-absorbing material. Two people stand at a distance L = 150 in from the wall with the open doors. Person A stands along a line passing through the midpoint between the open doors, and person B stands a distance y = 20 m to his side. A boat o the river sounds its horn. To person A, the sound is loud and clear. To person B, the sound is barely audible. The principal wavelength of the sound waves is 5.00 m. Assuming person B is at the position of the first minimum, determine the distance d between the doors, center to center.If the wavelength of a monochromatic source is 316 nm in vacuum, what is the wavelength from the same source when it passes through a liquid where the speed of light is 1.86 × 108 m/s? (c = 3.00 × 108 m/s)Plastic coatings are put in a car's glass window (n = 1.52) in order to keep the interior of cars cooler. What should be the index of refraction of the plastic film with minimum thickness of 107.5nm if you want the reflected light from both sides of the film to have no relative phase shift and to interfere destructively? The wavelength of the light in air is 600nm. I. 2.791 II. 1.395 III. 1.861IV. 1.321
- The light from a krypton laser has a wavelength of 647.1 nm in air. As the light travels from air into acrylic glass (n =1.491), calculate (a) its speed in acrylic glass, (b) its wavelength in acrylic glass, (c) its critical angle in acrylic glass surrounded by air, and (d) its frequency.Astronomers observe a 60.0 MHz radio source both directly and by reflection from the sea as shown in Figure P37.7. If the receiving dish is 20.0 m above sea level, what is the angle of the radio source above the horizon at the first maximum?When you look through a window, by what time interval is the light you see delayed by having to go through glass instead of air? Make an order-of-magnitude estimate on the basis of data you specify. By how many wavelengths is it delayed?
- A disabled tanker leaks kerosene (n = 1.20) into the Persian Gulf, creating a large slick on top of the water (n 1.30). (a) If you are looking straight down from an airplane, while the Sun is overhead, at a region of the slick where its thickness is 460 nm, for which wavelength(s) of visible light is the reflection brightest because of constructive interference? (b) If you are scuba diving directly under this same region of the slick, for which wavelength(s) of visible light is the transmitted intensity strongest?If you look at something 40 m from you, what is the smallest length (perpendicular to your line of sight) that you can resolve, according to Rayleigh’s criterion? Assume the pupil of your eye has a diameter of 4.00 mm, and use 500 nm as the wavelength of the light reaching you.There is a microscope that uses a wavelength of 470 nm and is designed to resolve objects of size 8,373 nm (which is defined by the Rayleigh criterion) and uses an objective lens with a diameter that is 3.90 mm. In mm, what's the max distance between the objective lens and the object that is being magnified?
- Light with frequency 6.96E14 Hz travelling in vacuum enters a transparent material that has index of refraction equal to 1.72. What is the light wavelength in the material (in m)?use the following values whenever necessary: Acceleration of gravity g = 9.8 m/s².Density of water ρ = 1000 kg/m³Atmospheric pressure: pₐₜₘ = 101325 PaRefractive index of air nₐᵣ = 1 6) Light from a 620 nm wavelength laser passes through a diffraction grating with 4000 lines/cm in vacuum. The resulting pattern is seen on a far curved screen that can show all the bright bangs with direction up to, and including, ±90.0° from the center point. (a) What is the TOTAL number of bright bangs that will appear on the screen? (b) Now the system is immersed in a liquid and you notice that two more bright bangs appear, one above and one below. What is the minimum index of refraction of the liquid? (a) 11 (b) n = 1.55 (a) 7 (b) n = 1.55 (a) 9 (b) n = 1.24 (a) 11 (b) n = 1.24 (a) 9 (b) n = 1.33 (a) 7 (b) n = 1.331. (a) The speed of a 500 nm light is 3 .00x10^8 m/s in vacuum and 1.95x10^8 m/s in a certain glass. What is theindex of refraction of the light? (b) What is the frequency of the 500 nm light in a vacuum? (c) What is the frequency of the 500 nm light in the glass? (d)If the 500 nm light is incident on a flat boundary between the glass part in Ia and air (nair= 1.00) asshown, what is the angle of reflection? Sketch on the given diagram. Do the samework for the refracted ray.