Incident ray A 12.0° 8.50° 30.0° 7 B
Q: A light ray in air strikes the right-angle prism shown in the figure (Figure 1) (<B=35.0°). This ray…
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A light ray in air strikes the right-angle prism shown in Fig. The prism angle at B is 30.0°. This ray consists of two different wavelengths. When it emerges at face AB, it has been split into two different rays that diverge from each other by 8.50°. Find the index of refraction of the prism for each of the two wavelengths.
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- A 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.A light beam reflects off two parallel reflecting surfaces that are = 202 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 = 25.1°, determine the following. Ꮎ (a) the number of times the light beam reflects off the left surface Have you redrawn the figure with all angles and distances labeled? How is the entrance angle related to the angle of Incidence and the angle of reflection for the mirrors? times (b) the number of times the light beam reflects off the right surface timesA beam of light is incident on a hemispherical prism at an angle, theta, as shown in the figure. If the index of refraction of the prism is 1.60, what is the critical angle (in degrees) for no transmitted light out of the bottom of the prism? Assume the index of refraction for air is 1.00 and the index of refraction for the water is 1.33.
- A laser beam is incident on a 45°-45°-90° prism perpendicular to one of its faces, as shown in the figure below. The transmitted beam that exits the hypotenuse of the prism makes an angle of 0 = 19.5° with the direction of the incident beam. Find the index of refraction of the prism. 45.0°The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n = 1.02.) e₁ n = 1.60 02 n = 1.40 n = 1.20 MA (a) If ₁ = 28.0°, what is the angle 2 of the emerging beam? o 1 (b) What is the smallest incident angle ₁ to have total internal reflection at the surface between the medium with n = 1.20 and the medium with Па = 1.02?A ray of light traveling in air is incident at angle ua on one face of a 90.0° prism made of glass. Part of the light refracts into the prism and strikes the opposite face at point A. If the ray at A is at the critical angle, what is the value of θa?
- A beam of light traveling through air is incident up a transparent material at an angle of ??θi=70.43 degrees as shown in the image below. If the angle of the transmitted ray (??θt) as measured with respect to the direction normal to the surface of the material (dashed line in the image below) is 29.72 degrees, what is the index of refraction of of the material?A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction? Calculate to 1decimal.A beam of light is incident from a liquid on the surface of transparent solid. The angle of incidence is 30°and the angle of refraction is 18°. Draw clear physics diagram of the problem – one for each part of the problem (3 total). label relevant angles. Find the critical angle for this solid when it is surrounded by the liquid. What is the angle between the reflected and refracted rays when the angle of incidence is 3°less than the critical angle?
- (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 =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