A small lamp at the bottom of a pool of 2 m deep in water (n = 4/3), emits light upwards in all directions (isotropic source). On the surface of the water, a circular illuminated area appears due to the refraction of the light rays. Determine the radius R of this illuminated area.
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A small lamp at the bottom of a pool of 2 m deep in water (n = 4/3), emits light upwards in all directions (isotropic source). On the surface of the water, a circular illuminated area appears due to the refraction of the light rays. Determine the radius R of this illuminated area.
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- A light ray propagates in Material 1 with index of refraction n¡ = 1.15, strikes an interface, then passes into Material 2 with index of refraction n2 = 1.35. The angle of incidence at the interface is 0j = 14.7°. Determine the angle of refraction 02. Material 1 Material 2 02 =In the figure, light is incident at angle 6, = 41.0° on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.28, n, = 1.38, ng = 1.30 and n4 = 1.43, what is the value of (a) 05 and (b) 04? Air (a) 05 = NumberT32.02 UnitsTo (degrees) (b)04 = NumberT43.1 Units (degrees)Snell’s Law relates the angle of incidence with the angle of refraction as n1 sin θ1 = n2 sin θ2. If a laser beam of 650 nm (red light) travels through the air and enters the water at an angle of 30 degrees with respect to the normal, what angle does the refracted ray make with the vertical? What is the wavelength of the red light in water?
- Please refer to part (b) of Figure 1 included. Here, theta (the angle the incident ray makes with respect to the vertical) is 37.1 degrees. What is d (the distance between the ray emerging from the bottom of the glass and where the ray would have been if it had continued straight on with no glass to refract it)? 0.29 m 1.27 m 1.67 m 0.98 mA beam of light is incident on the Surface 1 of a 60° -60°-60° prism at an angle 0₁. The light is incident at the Surface 2 at critical angle 02 = 44.0°. Answer the following: a) What is the index of refraction of the prism? b) What is the incident angle 0₁? Surface 1 60.0 Surface 2Chapter 25: Problem 9: A beam of light moves through a slab of glass as shown in the figure. The index of refraction of the glass is ng = 1.5. The index of refraction of air is na = 1. The incident angle of the light is θi = 44°. a) If the refraction angle of the light at the upper surface of the slab is θ1, express sinθ1 in terms of θi, na, and ng. b) The incident angle of the light on the lower surface of the slab is θ2. What is the relation between θ1 and θ2? c) The refraction angle of the light on the lower surface of the slab is θf. Express sin(θf) in terms of θ2, na, and ng. d) What is the final angle θf in degrees?
- Physics A beam of light strikes the surface of glass (n = 1.46) at an angle of 70 degrees with respect to the normal. Find the angle of refraction inside the glass. Take the index of refraction of air n1 = 1.A beam of light goes from the air into the water with incident angle θa = 34 degrees. The index of refraction of water is nw = 1.3. The index of refraction of air is na = 1. a) Solve for the numerical value of θw in degrees.What is the angle of refraction of the incident light is on air (n-1) and glass (n=1.42) boundary, if the angle of refraction is 1/2 of the angle of reflection? Note: Sin(20) = 2 Sin(0)Cos(0) O 37° O 39° O 41° O 45° 43°
- Light is refracted through unknown material. If the angle of incidence is 62°, and the angle of refraction is 62/2°, what is index of refraction of the material?(a) In the figure, light from ray A refracts from material 1 into a thin layer of material 2, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (i) What is the value of incident angle θA? Draw a sketch of the situation. (ii) If θA is decreased, does part of the light refract into material 3? (b) Light from ray B refracts from material 1 into the thin layer, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (iii) What is the value of incident angle θB? Draw a sketch of the situation. (iv) If θB is decreased, does part of the light refract into material 3? Answer: 54.3°, yes, 51.1°, noA beam of light traveling through air is incident up a transparent material at an angle of θi=69.16 degrees as shown in the image below. If the angle of the transmitted ray (θt) as measured with respect to the direction normal to the surface of the material (dashed line in the image below) is 27.38 degrees, what is the index of refraction of of the material?