An endoscope silica fibre efficiently contains all central light rays that subtend an angle greater than 0, = 42.00° as measured relative to the normal of the side surface of a silica-based fibre (labelled as 0, in the following diagram). What is the refractive index of the fibre? Take the optical fibre to be a solid cylinder residing in air. The following diagram shows a central light ray. The ray passes through the axis of symmetry of the optical fibre. O1.35 1.49 1.46 1.53 0.74 1.47
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- You have a slab of diamond that is attached to a slab of sapphire. A laser beam starts off in the diamond (index of refraction = 2.42) and then exits into sapphire (index of refraction = 1.77). The beam makes an angle of 30 degrees with the normal in the diamond. What angle does the beam make (with the normal) in the sapphire?A scuba diver training in a pool looks at his instructor as shown in the figure on the next page. The index of refraction of water is 1.33.a. What angle does the ray from the instructor’s face make with the perpendicular to the water surface at the point where the ray enters? The angle between the ray in the water and the perpendicular to the water surface is 25.0°. b. Find the height of the instructor’s head above the water. c. How much time does it take light to travel from the scuba diver to the instructor’s head? d. Find the apparent depth of the diver’s head below water as seen by the instructor.Q1/ Consider a laser cavity consisting of a concave mirror and a convex mirror, separated by 2m as shown in the figure. . Given R1=R2 = 2m, where R1 and R2 are the radii of curvatures of the concave and convex mirrors, respectively. Obtain the matrix representing the ray transformation for one complete round trip in the cavity?
- You have a slab of diamond that is attached to a slab of sapphire. A laser beam starts off in the diamond (index of refraction =2.42) and then exits into sapphire (index of refraction =1.77). The beam makes an angle of 30 degrees with the normal in the diamond. What is the maximum angle of incidence that the laser will refract into the sapphire?A laser and a set of five mirrors are arranged to create a perfect hexagon of laser light. What is the incident angle of the light when it hits the mirrors? (The internal angle of a hexagon is 120 degrees).Two different glasses - glass A and glass B - are separated by a planar boundary as shown in the figure. 9 8 7 6 5 4 3 2 1 1 2 3 glass A glass B 5 6 7 x (cm) 8 9 A light ray - shown in the lower left part of the figure approaches and then hits the boundary. Part of the ray reflects back to glass A, part of the ray enters glass B. The index of refraction of glass A is nA = 1.162. Determine the index of refraction of glass B. (Notice that the lines representing the light rays travel through grid intersection points.) Submit Answer Incorrect. Tries 2/99 Previous Tries
- In order to identify an unknown material you are asked to solve for the critical angle of the material. In order to test this you set up a beam of light that strikes the unknown substance from air (n = 1.0) at an angle of 30° with respect to the normal. It continues on in the substance at an angle of 23° with respect to the normal. What is the critical angle for the unknown substance? 51° 55° 60° 63°The drawing shows a rectangular block of glass (n = 1.52) surrounded by a liquid with n = 1.75. A ray of light is incident on the glass at point A with a 30.0° angle of incidence. At what angle does the ray leave the glass at point B? Number i Units 4A beam of light reflects and refracts at point A on the interface between material 1 (n₁ = 1.33) and material 2 (n2 = 1.66). The incident beam makes an angle of 40° with the interface. What is the angle of reflection at point A?
- Light in air is incident on a transparent glass slab. The angle of incidence is 34.3°. The slab is then immersed in a pool of liquid. When the angle of incidence for the light striking the slab is 21.7°, the angle of refraction for the light entering the slab is the same as when the slab was in air. What is the refractive index of the liquid? Take n = 1 for airA prism made of flint glass has a cross section that is an equilateral triangle. The index of refraction for red and violet light respectively in flint glass is 1.662 and 1.698. If as shown in the figure, the angle of incidence in air for both colors of light is 66.8°, determine the angle at which both colors emerge back into air after traveling through the prism. red light ° violet light °A beam of light is incident from a liquid on the surface of transparent solid. The angle of incidence is 30°and the angle of refraction is 18°. Draw clear physics diagram of the problem – one for each part of the problem (3 total). label relevant angles. Find the critical angle for this solid when it is surrounded by the liquid. What is the angle between the reflected and refracted rays when the angle of incidence is 3°less than the critical angle?