ray of light falls on a film of water (nwater = 1.33) of thickness d and then refracted on a glass plate (nglass = 1.66) with the same thickness as illustrated in the image. With the given data, determine: (a) Find the relationship between x and d. (b) Find the angles θ1 and θ2. (Express the result with 3 significant figures)
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A ray of light falls on a film of water (nwater = 1.33) of thickness d and then refracted on a glass plate (nglass = 1.66) with the same thickness as illustrated in the image.
With the given data, determine:
(a) Find the relationship between x and d.
(b) Find the angles θ1 and θ2. (Express the result with 3 significant figures)
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- A ray of light travels from air into another medium, making an angle of θ1 = 45.0° with the normal as in the figure below. (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 ice. °(b) Find the angle of refraction θ2 if the second medium is flint glass. °(c) Find the angle of refraction θ2 if the second medium is carbon tetrachloride. °A 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 2A ray of light travels from air and enters into a translucent medium A with an incidenceangle of 10 degrees. This medium is characterized by an index of refraction of nA = 1.3. Inanother experiment, the same ray travels from air into medium B and at the same incidenceangle. Here n B = 1.05. Which medium will refract the ray at a higher angle?
- 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.attachedWhen a man stands near the edge of an empty drainage ditch of depth 2.80 m, he can barely see the boundary between the opposite wall and bottom of the ditch as in Figure (a) shown below. The distance from his eyes to the ground is h = 1.88 m. (Assume 0 = 27.6⁰.) a b ← ←P-| Ө m 2.80 m (a) What is the horizontal distance d from the man to the edge of the drainage ditch? d (b) After the drainage ditch is filled with water as in Figure (b) shown above, what is the maximum distance x the man can stand from the edge and still see the same boundary? X = m
- An SPEC image is taken with a field of view (FOV) of 40 cm (in the x-direction). The image is reconstructed in various matrix sizes of (i) 128 × 128, (ii) 256 × 256, and (iii) 512 × 512, each holding 1 million counts. For each matrix size, calculate: (a) the pixel size, sp in x-direction (in mm), (b) the number of counts per pixel, N, and (c) the pixel noise in each image.light beam reflects off two parallel reflecting surfaces that are { = 136 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 = 24.8°, determine the following. (a) the number of times the light beam reflects off the left surface times (b) the number of times the light beam reflects off the right surface |timesA ray of light travels through air until it strikes the interface between the air and another medium. The incident ray makes an angle of 0₁ = 39.0° 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 02 with respect to the normal. O 0₁ (a) Suppose that the second medium is fused quartz. What is the angle of refraction, 02 (in degrees)? (Enter your answer to at least one decimal place.) O Air Second medium (b) Suppose that the second medium is polystyrene. What is the angle of refraction, 02, in this case (in degrees)? (Enter your answer to at least one decimal place.) O (c) Finally, suppose that the second medium is ethyl alcohol. What is the angle of refraction, 02, in this case (in degrees)? (Enter your answer to at least one decimal place.)
- The critical angle of a piece of object in air is 40°. Find the critical angle of same piece of glass if it is immersed in water. (er 1.33) (а) 29° (b) 40° (c) 620 (d) 20Let v, be the velocity of light in air and vz the velocity of light in water. According to Fermat's Principle, a ray of light will travel from a point A in the air to a point B in the water by a path ACB that minimizes the time taken. Show that sin 0 sin 02 where 01 (the angle of incidence) and 02 (the angle of refraction) are as shown. This equation is known as Snell's Law. BThe reflecting surfaces of two intersecting flat mirrors are at an angle of 59 ◦ , as shown in the figure. A light ray strikes the horizontal mirror at an angle of 53◦ with respect to the mirror’s surface (Figure is not drawn to scale) Calculate the angle φ. Answer in units of ◦.