Related questions
Question
Transcribed Image Text:In the figure, light is incident at angle 0, = 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
1.26, n2 =
1.38, n3 = 1.32 and n4 =
1.45, what is the value of (a) 05 and (b) 04?
Air
ng
n4
(a) 65
Number
Units
(b) 84
Number
Units
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps with 1 images
Knowledge Booster
Similar questions
- A light ray propagates in Material 1 with index of refraction n₁ = 1.25, strikes an interface, then passes into Material 2 with index of refraction n₂ = 1.37. The angle of incidence at the interface is 0₁ = 27.3°. Determine the angle of refraction 02. 0₂ € 1 Material 1 Material 2arrow_forwardIn the figure, light is incident at angle 0, = 41° 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 nį = 1.30, n2 = 1.40, n3 = 1.32 and n4 = 1.43, what is the value of 04? 20. Air ng 74 (a) 28.8° (b) 32.8° (c) 36.6° (d) 40.6° (e) None of the abovearrow_forwardA ray of light travels through air until it strikes the interface between the air and another medium. The incident ray makes an angle of ?1 = 34.0° with the normal, as shown in the figure below. Upon passage into the second medium, the ray is refracted, emerging from the interface at an angle ?2 with respect to 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 ?1 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 ?2 with the vertical. (a) Suppose that the second medium is flint glass. What is the angle of refraction, ?2 (in degrees)? (Enter your answer to at least one decimal place.) ° (b) Suppose that the second medium is fused quartz. What is the angle of refraction, ?2, in this case (in degrees)? (Enter your answer to at least one decimal place.) ° (c) Finally, suppose that the second medium is ethyl…arrow_forward
- A light propagates in Material 1 with index of refraction n1 = 1.13, strikes an interface, then passes into Material 2 with an index of refraction n2 = 1.41. The angle of incidence at the interface is 27.5. Determine the angle of refractionarrow_forward= The figure is shown TO SCALE. Each block represents a 1.00 cm square. It shows a ray of light entering a rectangular piece of glass (n₂ 1.50) from air (n₁ = 1.00). Find the position (x,y in cm) where the ray exits the glass. Or, if it does not exit the glass, find the (x,y) position of the second point (the second reflection) where total internal reflection occurs. In either case, be sure to check if total internal reflection occurs. Cheese file to unload Movimuvo filo cine: 20MDYarrow_forwardA 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 \theta i = 44\deg . Part (a) If the refraction angle of the light at the upper surface of the slab is \theta 1, express sin\theta 1 in terms of \theta i, na, and ng. Part (b) The incident angle of the light on the lower surface of the slab is \theta 2. What is the relation between \theta 1 and \theta 2? Part (c) The refraction angle of the light on the lower surface of the slab is \theta f. Express sin(\theta f) in terms of \theta 2, na, and ng.arrow_forward
- A light ray propagates in Material 1 with index of refraction n₁ = 1.13, strikes an interface, then passes into Material 2 with index of refraction n₂ = 1.45. The angle of incidence at the interface is 0₁ = 24.3°. Determine the angle of refraction 02. 0₂ = 1 I I Material 1 Material 2arrow_forwardThe 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 4arrow_forwardA ray of light is incident at angle ?θ = 59° on the side of two stacked transparent blocks. The bottom block has index of refraction ?1n1 = 1.41. The ray enters the top block at angle ?ϕ = 40.6°. What is the index of refraction ?2n2 of the top block? Note: Angles may not be drawn to scale.arrow_forward
- (a) A small light fixture on the bottom of a swimming pool is 0.86 m below the surface. The light emerging from the still water forms a circle on the water surface. What is the diameter of this circle? (Give your answer, in m, to at least two decimal places.) m (b) What If? If a 1.58 cm thick layer of oil (noil 1.35) is spread uniformly over the surface of the water, what is the diameter of the circle of light emerging from the swimming pool? (Give your answer, in m, to at least two decimal places.) m =arrow_forwardUsing filters, a physicist has created a beam of light consisting of three wavelengths: 400 nm (violet), 500 nm (green), and 650 nm (red). She aims the beam so that it passes through air and then enters a block of crown glass. The beam enters the glass at an incidence angle of ?1 = 31.5°. The glass block has the following indices of refraction for the respective wavelengths in the light beam. wavelength (nm) 400 500 650 index of refraction n400 nm = 1.53 n500 nm = 1.52 n650 nm = 1.51 (a) Upon entering the glass, are all three wavelengths refracted equally, or is one bent more than the others? (b) What are the respective angles of refraction (in degrees) for the three wavelengths? (Enter each value to at least two decimal places.) (i) ?400 nm (ii) ?500 nm (iii) ?650 nmarrow_forward
arrow_back_ios
arrow_forward_ios