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- A parallel beam of light is incident at 300 to the normal to one face of an equilateral prism (n=1.53), the three faces of which are polished. Trace the path of the light through the prism and find the total deviation produced. For what angle of incidence will the deviation be a minimum?A 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 beam of light reflects and refracts at point A on the interface between material 1 (n1 = 1.33) and material 2 (n2 = 1.66). The incident beam makes an angle of 40° with the interface. What is the angle of reflection atpoint A?
- Calculate the angle of refraction at the air/core interface, r . critical angle, c and incident angle at the core/cladding interface, i . Will this light ray propagate down the fiber? You have the following data: nair = 1, ncore = 1.46, ncladding =1.43, incident =12o r = 8.2o, c = 78.4o, i = 81.8olight will propagate Formula summery Index of Refraction n= n sin 01= n, sin 0, o = sin1(2) Snell's Law Critical Angle Acceptance angle a= sin1 Numerical Aperture NA = sin a = ni- nịFor a particular transparent medium surrounded by air, find the polarizing angle θp in terms of the critical angle for total internal reflection θc.A ray of white light traveling through air enters a triangular prism that has an index of refraction of 1.315 for the red end of the spectrum and 1.345 for the violet end and an apex angle of 72°. If the ray has an angle of incidence of 63° with respect to the normal of the interface boundary, what's the angular separation between the red and violet ends of the spectrum within the prism?
- A laser light passing through a glass, n = 1.6, inters from air to a glass with the angle of incidence, θi.(a) What is the angle of transmission, θt?(b) What will be the distance d in cm, using two significant numbers?A light beam strikes a piece of glass at a 65.00° incidentangle. The beam contains two wavelengths, 450.0 nm and700.0 nm, for which the index of refraction of the glass is1.4831 and 1.4754, respectively. What is the angle betweenthe two refracted beams?A ray of light strikes the midpoint of one face of an equiangular (60°–60°–60°) glass prism (n = 1.5) at an angle of incidence of 34.0°. (a) Trace the path of the light ray through the glass, and find the angles of incidence and refraction at each surface.First surface: ?incidence = ?refraction = Second surface: ?incidence = ?refraction = (b) If a small fraction of light is also reflected at each surface, find the angles of reflection at the surfaces. (first surface) ?reflection (second surface) ?reflection
- The diagram illustrates a light ray originating from the floor of a small room, making an angle ϕ= 37° with the floor. The ray reflects from a vertical mirror that is a horizontal distance d= 1.1 m from the source, as shown. If the horizontal distance between opposing vertical walls is w= 4.7 m, how high h on the wall opposing the mirror does the ray strike?A ray of light enters parallel to the axis of a hollow cylindrical tube. When the tube has only air, the light takes 18.6 ns to travel the full length of the cylinder, but when the tube is filled with a transparent substance, it takes 7.1 ns longer to travel by comparison. What is the refractive incidence of that substance?A beam of light enters a flint glass semicircular disk with an index of refraction of ng = 1.66 at the midpoint of the flat side as shown in the figure. Determine the angle of incidence in air such that the refracted light will travel through the glass along a normal to the semicircular surface and hit a projection screen with the coordinates x = 5.50 cm and y = 18.1 cm. =___°