(a) What is the angle of refraction at side A, relative to the normal? (b) At the side the internal ray goes to, side C, what is the angle of incidence? (c) At side C, does the internal ray undergo total internal reflection? Explain. Calculate and include the pertinent critical angle in your explanation.
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(a) What is the angle of refraction at side A, relative to the normal?
(b) At the side the internal ray goes to, side C, what is the angle of incidence?
(c) At side C, does the internal ray undergo total internal reflection? Explain. Calculate and include the pertinent critical angle in your explanation.
(d) If the ray of light inside the prism does not undergo total internal reflection at side C, at what angle relative to the normal of side C does the ray leave the prism and re-enter the air? Assume the prism is surrounded along sides A, B, and C by air, and that the refractive index of the prism is 2.42. Assume the internal ray goes to side C, and not side B or the ground.
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- The two mirrors illustrated in the figure below meet at a right angle. The beam of light in the vertical plane indicated by the dashed lines strikes mirror 1 as shown. (Let d = 1.05 m and 0 = 35.0°.) Mirror 2 d Mirror (a) Determine the distance the reflected light beam travels before striking mirror 2. (b) In what direction does the light beam travel after being reflected from mirror 2? o above the horizontal Need Help? Watch It Read ItThe two mirrors illustrated in the figure below meet at a right angle. The beam of light in the vertical plane indicated by the dashed lines strikes mirror 1 as shown. (Let d = 1.20 m and 0 = 35.0°.) Mirror Ꮎ Mirror (a) Determine the distance the reflected light beam travels before striking mirror 2. m (b) In what direction does the light beam travel after being reflected from mirror 2? ° above the horizontalA light ray passes through a glass lens, shown in cross section in the figure below. Find the angle of incidence ?. (Take theta1 = 33°, theta2 = 23°, and theta3 = 27°.)
- You have a convex, spherical mirror (as shown below) with a radius of curvature R=3.33m (the distance of the "Radial Line" shown in the image below). You shine light rays that are parallel to the principlal axis of the mirror as shown below that reflect in such a way that it appears all rays originated at the a point called the focal point of the mirror (F). Along the principal axis of the mirror, how far behind the mirror is the focal point (in meters)? It is important to point out that the focal point of convex mirrors, strictly speaking, is negative. This is because the object appears to originate from behind the mirror. Here, don't worry about the negative sign. Give a positive answer.The two mirrors illustrated in the figure below meet at a right angle. The beam of light in the vertical plane indicated by the dashed lines strikes mirror 1 as shown. (Let d = 1.00 m and 8 = 37.0⁰.) Mirror 2 d Mirror i (a) Determine the distance the reflected light beam travels before striking mirror 2. m (b) In what direction does the light beam travel after being reflected from mirror 2? above the horizontalA light ray is incident perpendicular to the left face of the shown prism made of glass (n = 1.6). What is the largest value of the angle p such that the light ray is totally reflected at the far right face if the prism is surrounded by air? Express your answer to the nearest degree.
- Consider a light ray from a fish that emerges into the air with angle α as shown on the left. Now consider this same light ray originating from the fish going through glass before emerging into the air at angle β, as shown on the right. Which angle is larger: α or β? (Note: the path shown through the glass is illustrative only – you might have to change the slope.Consider a refracting prism shown below. The face opposite the apex (top of the prism) is called the base. The total angle by which light changes direction is called the angle of deviation D. I A to a. Show that nprism = sin(A+D)/2/ sin (A/2) when light passes through the prism symmetrically such that the angles of incidence (1) and emergence (E) are equal (Assume the angle A is 60°) b. Find the deviation angles for blue and red light having indices of refraction 1.652 and 1.618 respectively. c. Sketch what happens when white light is incident on the prism. IDiamond is known for being a particularly brilliant stone. The reason behind this is its peculiarly high index of refraction, n = 2.4. A ray of light within a diamond hits the diamond-air (n = 1) interface. Calculate the critical angle for diamond such that the ray be totally internally reflected. Critical angle for diamond-air interface = 0 Once you have determined this, compare the critical angle to the one in the figure below, which is for a glass-air interface? Knowing that glass has a smaller refractive index than diamond, which material will have a larger critical angle. n2=1 n1 =1.5 39° 90° 41.8° 45° 45° Difference between the cirtical angles between the diamond-air and glass-air interface is (report the absolute value of the difference) 0 What is the significance of this comparison with regards to the brilliance of diamond?
- A beam of light is incident from air on the surface of a liquid. If the angle of incidence is 36.2° and the angle of refraction is 25.0°, find the critical angle for the liquid when surrounded by air. Step 1 When light goes from one material into another having a higher index of refraction, the light bends toward the normal line as shown in part (a) of the diagram. 02 air liquid (a) (b) We are given that when = 36.2°, the angle of refraction in the liquid is = 25.0°. Thus, from Snell's law, the index of refraction of the liquid is nliquid = nair sin sin e = (1.00) sin sin 25.0° 0 (0.423)You have a convex, spherical mirror (as shown below) with a radius of curvature R=3.22m (the distance of the "Radial Line" shown in the image below). You shine light rays that are parallel to the principlal axis of the mirror as shown below that reflect in such a way that it appears all rays originated at the a point called the focal point of the mirror (F). Along the principal axis of the mirror, how far behind the mirror is the focal point (in meters)? It is important to point out that the focal point of convex mirrors, strictly speaking, is negative. This is because the object appears to originate from behind the mirror. Here, don't worry about the negative sign. Give a positive answer. Radial line, normal to mirror surface Principal axisLight travels from crown glass into air. (Refer to Table 1 for the indexes of refraction.) The angle of refraction in air is 60.0°. Calculate the angle of incidence in the crown glass.