A sugar solution has a refractive index that increases with the depth z. According to the following formula: n= no (1+). With the values no and a are positive constants. If a light travels horizontally parallel to the x-axis at the origin of the coordinates, determine the path of the light.
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- A light beam reflects off two parallel reflecting surfaces that are = 202 cm long and separated by a distance of s = 65.0 cm. If the beam of light enters this region as shown, with the angle 0 = 25.1°, determine the following. Ꮎ (a) the number of times the light beam reflects off the left surface Have you redrawn the figure with all angles and distances labeled? How is the entrance angle related to the angle of Incidence and the angle of reflection for the mirrors? times (b) the number of times the light beam reflects off the right surface timesA ray of light travels from air into another medium, making an angle of θ1 = 45.0° with the normal A light ray in air is moving down and to the right and is incident on a second medium. It makes an angle θ1 with the vertical. Inside the vertical, it continues to move down and to the right but at a steeper slope than the incident ray. It makes an angle θ2 with the vertical. (a) Find the angle of refraction θ2 if the second medium is sodium chloride. °(b) Find the angle of refraction θ2 if the second medium is diamond. °(c) Find the angle of refraction θ2 if the second medium is benzene. °Homework 11, Problem 3
- A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction? Calculate to 1decimal.A beam of light (angle θ₀=15°) inside a transparent material (n=2) hits the surface. Notice the change in subscripts of the angles. For example, the refraction angle is θt, for "transmitted", whereas θr is the "reflected" angle. Use the correct quantity, not necessarily the variable name. Calculate the transmitted (refracted) angle. Please see photo for more details.The drawing shows a ray of light traveling from point A to point B, a distance of 7.80 m in a material than has an index of refraction n1. At point B, the light encounters a different substance whose index of refraction is n2 = 1.63. The light strikes the interface at the critical angle of Thetac = 49.2°. How much time does it take for the light to travel from A to B?
- A ray of light strikes a flat block of glass at an incidence angle of ?1 = 38.6°. The glass is 2.00 cm thick and has an index of refraction that equals ng = 1.52. (a) What is the angle of refraction, ?2,that describes the light ray after it enters the glass from above? (Enter your answer in degrees to at least 2 decimal places.) b.)With what angle of incidence, ?3,does the ray approach the interface at the bottom of the glass? (Enter your answer in degrees to at least 2 decimal places.)Consider a mirror lying along the x-axis in R2. A laser starts at the point (−2, 6) and is fired in the direction of ⟨4, −3⟩. The beam travels until it hits the mirror, where it reflects off the mirror and then travels until it hits a wall on the line x = 20. (a) Give a parametrization for the initial path of the laser. (b) At what point does this beam hit the mirror? (c) Give a parametrization for the path of the reflected beam. (d) At what point does this beam hit the wall?Light traveling through medium 3 (n3 = 2.4) is incident on the interface with medium 2 (n2 = 2.0) at angle θ. If light does enter into medium 2 but no light enters into medium 1 (n1 = 1.6), what can we conclude about the range of values for θ?