If n = 1.30, what is the largest angle of incidence 0, for which total internal reflection will occur at the vertical face (point A shown in the figure (Figure 1))?
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- A piece of jewelry consists of a sphere of quartz (n-1.5) embedded on a zircon (n-1.8) base as shown in the figure. A light ray traveling through the zircon strikes the spherical piece of quartz at an angle of incidence 8, as shown below. Which is the probable path that the ray of light could follow? Assume all incident angles are below their respective critical angles. The normals at each boundary are shown. Zircon n=1.8 Quartz n=1.5 Air n=1.0 A B CD m w u < 00000A ray of light, emitted beneath the surface of an unknown liquid with air above it, undergoes total internal reflection as shown to the right. Letting the index of refraction for air equal 1.00, what is the index of refraction for the unknown liquid?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 = 1.20 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 horizontal
- An endoscope silica fibre efficiently contains all central light rays that subtend an angle greater than 0, = 42.00° as measured relative to the normal of the side surface of a silica-based fibre (labelled as 0, in the following diagram). What is the refractive index of the fibre? Take the optical fibre to be a solid cylinder residing in air. The following diagram shows a central light ray. The ray passes through the axis of symmetry of the optical fibre. O1.35 1.49 1.46 1.53 0.74 1.47You 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 9 = 35.0°.) Mirror 2 d 0 Mirror 1 (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 horizontal V
- 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.Light rays fall normally on the vertical surface of a glass prism (n = 1.6) as shown in Figure. 1)What is the largest value of θθ such that the ray is totally internally reflected at the slanted face? (Express your answer to three significant figures.) 2)Repeat the calculation if the prism is immersed in water with n=1.33. (Express your answer to three significant figures.)
- Diamond 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?Solve problem d to gYou 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 axis