2. * Green light of wavelength 540 nm is incident on two slits that are separated by 0.50 mm.(a) Make a list of physical quantities you can determine using this information anddetermine three of them. (b) Describe three changes in the experiment that will eachresult in doubling the distance between the 0th and the first bright spot on the screen.Explain.

Solution is given in explanation section.Explanation: If you have any doubts, please ask in the…

Answered: 2. * Green light of wavelength 540 nm…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter27: Wave Optics

Section: Chapter Questions

Problem 60PE: (a) What is the minimum angular spread of a 633-nm wavelength He-Ne laser beam that is originally...

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Youngs double-slit experiment underlies the instrument landing system used to guide aircraft to sale landings at some airports when the visibility is pool. Although real systems are more complicated than the example described here, they operate on the same principles. A pilot is trying to align her plane with a runway as suggested in Figure P37.22. Two radio antennas (the black dots in the figure) are positioned adjacent to the runway, separated by d = 40.0 m. The antennas broadcast unmodulated coherent radio waves at .10.0 MHz. The red lines in Figure P37.22 represent paths along which maxima in the interference pattern of the radio waves exist. (a) Find the wavelength of the waves. The pilot locks onto the strong signal radiated along an interference maximum and steers the plane to keep the received signal strong. If she has found the central maximum, the plane will have precisely the correct heading to land when it reaches the runway as exhibited by plane A. (b) What If? Suppose the plane is living along the first side maximum instead as is the case for plane B. How far to the side of the runway centerline will the plane be when it is 2.00 km from the antennas, measured along its direction of travel? (c) It is possible to tell the pilot that she is on the wrong maximum by sending out two signals from each antenna and equipping the aircraft with a two-channel receiver. The ratio of the two frequencies must not be the ratio of small integers (such as 34). Explain how this two-frequency system would work and why it would not necessarily work if the frequencies were related by an integer ratio.
Three discrete spectral lines occur at angles of 10.1, 13.7, and 14.8, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3 660 slits/cm, what are the wavelengths of the light? (b) At what angles are these lines found in the second-order spectra?
(a) What is me ratio of the speed of red light to violet light in diamond, based on Table 25.2? (b) What is this ratio in polystyrene? (c) Which is more dispersive?
In each of the following situations, a wave passes through an opening in an absorbing wall. Rank the situations in order from the one in which the wave is best described by the ray approximation to the one ill which the wave coming through the opening spreads out most nearly equally in all directions in the hemisphere beyond the wall, (a) The sound of a low whistle at 1 kHz passes through a doorway 1 m wide, (b) Red light passes through the pupil of your eye. (c) Blue light passes through the pupil of your eye. (d) The wave broadcast by an AM radio station passes through a doorway 1 m wide, (e) An x-ray passes through the space between bones in your elbow Joint.
Integrated Concepts (a) During laser vision correction, at brief burst at 193 nm ultraviolet light is projected onto the cornea of the patient. It makes a spot 1.00 mm in diameter and deposits 0.500 mJ of energy. Calculate the depth of the layer ablated, assuming the corneal tissue has the same properties as water and is initially at 34.0°C. The tissue’s temperature is increased to 100°C and evaporated without further temperature increase. (b) Does your answer imply that the shape of the cornea can be ?nely controlled?
Question Three Two aluminium samples, A and B, are to be examined using Bragg reflection. For sample A the first-order Bragg reflection from (111) planes occurs at an angle of 25°00', while for sample B the first order Bragg reflection from (111) planes was at 25°20'. Aluminium atoms are 1.8 x 10-10 m diameter and form an FCC structure. X-radiation of wavelength 1.52 x 10-10 m is used for the analysis of two samples of aluminium. Answer the following questions: (i) Calculate the lattice parameter of an aluminium atom. (ii) Calculate the interplanar distances for the two samples. (ii) Which sample shows pure aluminium, and what is the reason for the difference? (iv) Mention four uses of pure aluminium.
1. The light intensity vs. position graph of a double-slit experiment is shown below. The graph was made with helium–neon laser light of wavelength 630 nm shined through two very narrow slits separated by a small distance. The slits were 2.0 meters away from the probe. What is the path-length difference (from the two slits to the screen) when the probe is at position 9.0 mm, in nm? 2. The light intensity vs. position graph of a double-slit experiment is shown below. The graph was made with helium–neon laser light of wavelength 640 nm shined through two very narrow slits separated by a small distance. The slits were 2.0 meters away from the probe. What is the path-length difference (from the two slits to the screen) when the probe is at position 10 mm, in nm? 3. The light intensity vs. position graph of a double-slit experiment is shown below. The graph was made with helium–neon laser light of wavelength 640 nm shined through two very narrow slits separated by a small distance. The…
In LASIK surgery, a coherent UV light of 193 nm is focused on the corneal tissue. a. Explain the importance of using light that is all the same wavelength. b. Explain why UV light is more effective than infrared light at evaporating the corneal tissue
Required information A laser has a wavelength of 530 nm. A grating and a lens are used to split the beam into three parallel beams spaced 1.85 cm apart. What is the maximal value of the slit spacing so that the grating produces three and only three beams? µm
Using X-ray Diffraction When an x-ray beam is scattered off the planes of a crystal, the scattered beam creates an interference pattern. This phenomenon is called Bragg scattering. For an observer to measure an interference maximum, two conditions have to be satisfied: 1. The angle of incidence has to be equal to the angle of reflection. 2. The difference in the beam's path from a source to an observer for neighboring planes has to be equal to an integer multiple of the wavelength; that is, 2d sin(0) = mx for m = 1, 2, .... The path difference 2d sin(0) can be determined from the diagram ( Figure 1). The second condition is known as the Bragg condition. Figure d sine d sine 1 of 1 Part A —| ΑΣΦ d= 0.1339 Submit Previous Answers Request Answer An x-ray beam with wavelength 0.250 nm is directed at a crystal. As the angle of incidence increases, you observe the first strong interference maximum at an angle 21.0°. What is the spacing d between the planes of the crystal? Express your answer…
Laser light with wavelength of 500 nm is incident on two slits of width 1.0 µm and the slits are 8.0 µm apart. a) Determine how many bright fringes are within the central maximum of the diffraction pattern. b) Determine how many bright fringes are within the first side peak of the diffraction pattern. c) Draw the diffraction pattern.
4) A laser beam with a wavelength of 510 nm passes through a narrow slit and illuminates a screen 6.0 m behind the slit. A diffraction pattern is observed in which the central maximum has a width of 2.0 cm. Approximately how wide is the slit? A. 100 μm B. 200 μm c. 300 μm D. 400 μm E. 500 μm

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