Interference fringes are produced using Lloyd's mirror and a source S of wavelength A = 606 nm as shown in Figure P37.67. Fringes separated by Ay = 1.20 mm are formed on a screen a distance L = 2.00 m from the source. Find the vertical distance h of the source above the reflecting surface. Viewing screen P Mirror
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- 4. 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…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 P24.1136. Figure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d and both a distance h 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.
- Laser light is shone onto two slits separated by a distance of 8.0mm. The light is shone onto a screen 5.7m away. The distance to the m=3 bright fringe measured from the central bright spot is 7.9cm. Find the wavelength of the laser in nm.answer for the second twoThe following problem must be solved taking into consideration the modification given below: A student holds a laser that emits light of wavelength 545 nm. The laser beam passes though a pair of slits separated by 0.500 mm, in a glass plate attached to the front of the laser. The beam then falls perpendicularly on a screen, creating an interference pattern on it. The student begins to walk directly toward the screen at 2.00 m/s. The central maximum on the screen is stationary. Find the speed at which the 5th-order maxima changes its position on the screen. Do not use small angle approximation. Modification: Suppose there is a liquid in the space between the slits and the screen. Give such liquid any refractive index you desire (numerical value). Also suppose that the screen has a finite lenght (give another numerical value). Besides calculating the speed at which the 5th-order maxima changes its position on the screen also calculate the initial value of bright fringes according to the…
- 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 nmA slit of width 0.15 mm is located 10.0 m from a screen. Light with a wavelength of 450 nm passes through this slit. Determine the distance between the first and the third dark fringes on the screen.The nonreflective coating on a camera lens with an index of refraction of 1.23 is designed to minimize the reflection of 625-nm light. If the lens glass has an index of refraction of 1.51, what is the minimum thickness of the coating that will accomplish this task? X Your response differs from the correct answer by more than 10%. Double check your calculations. m