ou are given a diffraction grating and you shine laser light with wavelength 50
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You are given a diffraction grating and you shine laser light with wavelength 500nm through it and produce a diffraction pattern on a screen. You measure the 3rd order bright spot to be at angle 70.0° above the horizontal distance (from the grating to the screen). Using the same grating, calculate the angle (in degrees) pointing to the 2nd order bright spot if you used a laser with wavelength 450 nm.
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- 2. = A planar dielectric waveguide with the core refractive index n₁ 1.56 and the 1.47 is used to transmit light of wavelength o 750 nm. Suppose cladding index n₂ = = the width of the waveguide is d = 1.0 μm: (a) Determine the critical angle 0c at the interface. (b) Calculate and plot the phase change on reflection o, as a function of angle of incidence in the range 0c < 02, for the case of a TE wave. = 1, (c) Calculate the value of the angle of incidence Om corresponding to mode m = and the corresponding phase change $1. (d) Determine the skin depth for the evanescent wave in medium n2, for this mode.A beam splitter is an optical device that splits a beam of light - half of the incident light is transmitted through the beam splitter, and half is reflected. Supposed we could make a beam splitter that reflects only 35% and transmits the other 65% (rather than 50/50). A beam of laser light with wavelength 656 nm is incident on our imaginary 35/65 beam splitter, at an angle of 45°. The beam pulse lasts 1.50 ms, and has a diameter of 0.60 mm. The intensity of the transmitted beam is 3.25 kW/m2. Draw a clear physics diagram of the problem. What is the energy of a photon from this laser? Find the peak Electric field of the reflected beam. Find the peak Magnetic field of the incident beam. What color is the laser beam? What momentum is transferred to the beam splitter by the laser pulse?The 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?
- 1. A helium-neon laser, radiating at 632.8 nm, has a power output of 3.0 mW. The beam diverges at angle 0.17 mrad as in fig 1. (a) What is the intensity of the beam 40m from the laser? (b) What is the power of a point source providing that intensity at that distance? Laser Figure 1: Helium neon laserA pattern of light is shown on the screen. You measure the distance between the source of the light and the screen to be 2.35m. The speaker tells you that the wavelength he is using is 578nm, and that the spacing between the slits is 2.98 x10^-5m. The pattern looks like this a) What type of slit plate is being used? b) what angle does a live drawn from the centre of the slit plate to the third order bright fringe make with the perpendicular biscetor? Please give answers to 3 significant digitsA visible laser with wavelength 6.11E-7 m passes through a thin slit that is 8.08E-5 m wide. What is the smallest angle relative to the original direction is the light beam completely cancelled (in degrees)?
- A layer of oil, with a refractive index of 1.40798, exactly 1 mm thick, floats on water. Light of vacuum wavelength 632.800 nm, emitted by a stabilized He-Ne laser, is reflected at normal incidence by the oil. Question 1 1 pts The index of refraction of the oil varies slightly with the vacuum wavelength of the light. Find this altered wavelength in nm: Question 2 1 pts How many wavelengths are contained in the light wave passing back and forth through the oil? (Hint: the reflected wave is shifted by X/2.) Please enter your answer as a whole number. Question 3 1 pts Does the light reflected from the two surfaces of the oil interfere constructively or destructively? Destructively O ConstructivelyYou stretch a strand of your hair across a laser beam and observe the diffraction pattern this produces on a sheet of paper 1.15 m from your hair strand. You mark the center of the dark regions on either side of the central bright spot and measure the distance between these marks to be 21.4 mm. You are given that the wavelength of the laser light is 633 nm. What is the diameter of your hair strand (in mm)? Make use of the small angle approximation. (Hint: recall Babinet's principle which equates the spot pattern created by light going around the hair to the pattern when light goes through a slit.)The 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 197 m, the eagle sees them as one unresolved object and dives toward them at a speed of 20 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? t= i
- Ch26,P24Light from a laser is directed through a pair of slits that are 40 mm apart. If the laser light has a wavelength of 600 nm, calculate the distance between three sequential bright fringes that would be produced if projected onto a screen 1 m from the slits. (A) 3.0 cm (B) 1.5 cm (C) 0.5 cm (D) 1.0 cmAstronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the Holine. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is kept at a constant temperature. (a) Find the minimum value of d that will produce maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.400. (Enter your answer to one decimal place.) nm (b) If the temperature of the filter increases above the normal value increasing its thickness, what happens to the transmitted wavelength? (Assume the index of refraction of the dielectric remains constant.) ---Select--- (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light. nm