The figure shows a ray that is reflected by two plane mirrors that form an angle beta, sigma represents the angle of deviation between the incident ray and the emerging ray. Find the relationship that exists between them.
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- Three sheets of plastic have unknown indices of refraction. Sheet 1 is placed on top of sheet 2, and a laser beam is directed onto the sheets from above so that it strikes the interface at an angle of 26.6deg with the normal. The refracted beam in sheet 2 makes an angle of 31.4deg with the normal. The experiment is repeated with sheet 3 on top of sheet 2 and, with the same angle of incidence, the refracted beam makes an angle of 36.8deg with the normal. If the experiment is repeated again with sheet 1 on top of sheet 3, what is the expected angle of refraction in sheet 3? Assume the same angle of incidence.A laser beam with a total power of 22 watts is incident at a normal angle of incidence on a Lambertian surface. How much power reaches a detector with an area of 0.1 cm2 at an angle of 25 degrees located at a distance of 40 cm from where the beam strikes the surface? Please check closest answer. 0.525 mW 0.397 mW 0.247 mW 0.421 mWPlease refer again to Figure 2. The incident ray is coming in from water (n=1.33) rather than air. And this time, theta = 52.2 degrees, y = 31.9 cm and h = 1.13 cm. What is x now? 33.6 cm 42.0 cm 12.6 cm 50.4 cm
- 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.Part (b) Numerically, what is the angle in degrees? θ2= Part (c) Write an expression for the reflection angle ψ, with respect to the surface. ψ = Part (d) Numerically, what is this angle in degrees? ψ =10. A light ray of given wavelength, initially in air, strikes a 90° prism at P (see Fig. 39-53) and is refracted there and at Q to such an extent that it just grazes the right-hand prism surface at Q. (a) Determine the index of retraction of the prism for this wavelength in terms of the angle of incidence , that gives rise to this situation. (b) Give a numerical upper bound for the index of refraction of the prism. Show, by ray dia- grams, what happens if the angle of incidence at P is (c) slightly greater or (d) slightly less than 0₁. 90 FIGURE 39-53. Problem 10.
- A ray of white light traveling through air enters a triangular prism that has an index of refraction of 1.511 for the red end of the spectrum and 1.537 for the violet end and an apex angle of 64.8 degrees. If the ray has an angle of incidence of 46.3 degrees with respect to the normal of the interface boundary, what is the angular separation between the red and violet ends of the spectrum upon exiting the prism? Measure this in degrees to 2 decimal places.A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 29 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Write an expression for the reflection angle ψ, with respect to the surface.