The figure below shows the path of a light beam through several slabs with different indices of refraction. (n = 1.11) n = 1.60 n = 1.40 n = 1.20 102 124 (a) If 01 = 34.0°, what is the angle 2 of the emerging beam? 74.84 × Your response differs from the correct answer by more than 10%. Double check your calculations. (b) What must the incident angle ₁ be to have total internal reflection at the surface between the medium with n = 1.20 and the medium with n 68.06 Your response differs from the correct answer by more than 10%. Double check your calculations. = 1.11? '4
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- A light ray is incident on an interface between water (n = 1.333) and air (n = 1.0002926) from within the air. If the angle of incidence in the air is 30.0, what is the angle of the refracted ray in the water?The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n. 1.08.) n = 1.60 n = 1.40 n = 1.20 (a) If 01 36.0°, what is the angle 0, of the emerging beam? %D (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium withn, = 1.08?The figure below shows the path of a light beam through several slabs with different indices of refraction. (n4 = 1.01) 10% = n = 1.60 n = 1.40 n = 1.20 14 (a) If 01 35.0°, what is the angle 02 of the emerging beam? 63.12 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.º
- A light beam is traveling through an unknown substance. When it strikes a boundary between that substance and the air (nair = 1), the angle of reflection is 27.0° and the angle of refraction is 43.0°. What is the index of refraction n of the substance? n =The figure below shows the path of a light beam through several slabs with different indices of refraction. (n4 102 O n = 1.60 n = 1.40 n = 1.20 114 (a) If 0₁ = 34.0°, what is the angle 02 of the emerging beam? = 1.12) (b) What must the incident angle 0₁ be to have total internal reflection at the surface between the medium with n = 1.20 and the medium with 4 = 1.12? OA thick piece of Lucite (n = 1.50) has the shape of a quarter circle of radius R = 12.8 cm as shown in the side view of the figure below. A light ray traveling in air parallel to the base of the Lucite is incident at a distance h = 6.60 cm above the base and emerges out of the Lucite at an angle e with the horizontal. Determine the value of 8. Incoming ray Outgoing ray R
- 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.) c.) With what angle of refraction, ?4, does the ray emerge from the bottom of the glass? (Enter your answer in degrees to at least 1 decimal place.) d.) The distance d separates the twice-bent ray from the path it would have taken without the glass in the way. What is this distance (in cm)? e.) At what speed (in m/s) does the light travel within the glass? f.) How many nanoseconds does the light take to pass through the glass along the angled path shown here?A light beam is traveling through an unknown substance. When it’s strikes a boundary between the substance in the air (nair=1), the angle reflection is 34.0° and the angle of refraction is 45.0°. What is the index of refraction n of the substance? n=The speed of light c in a vacuum is 2.997 × 10% m/s. Given that the index of refraction in fresh water is 1.333, what is the speed of light Vfresh water in fresh water? Ufresh water m/s Given that the index of refraction in diamond is 2.419, what is the speed of light vdiamond in diamond? Udiamond m/s
- In the figure shown, a light ray travelling through air (n=1.0) strikes the surface of an unknown material. The soeed of light in this unknown material is only 1.2E8 m)s, and the angke marked (alpha) in the figure is 30 degrees. A) What is the index of refraction of the unknown material? B) What is the angle marked (Beta) in the figure? 2) Draw a history graph for the position x= -2m for the same wave pulse shown in the diagram figure above. Show some mathematical proofsA 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) Express the sine of the angle of refraction θw in terms of θa, nw, and na. b)The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. A) What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 51.0°? B) What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 90°?