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1.A prism that has an apex angle of 50.0° is made of cubic zirconia, with n = 2.20. What is its angle of minimum deviation?
2.If we use transmitted light instead of reflected light, will there be any change in the center spot? Explain
3.Monochromatic light is beamed into a Michelson interferometer. The movable mirror is displaced 0.382 mm, causing the central spot in the interferometer pattern to change from bright to dark and back to bright N = 1 700 times.
(a) Determine the wavelength of the light. What color is it?
(b) If monochromatic red light is used instead and the mirror is moved the same distance, would N be larger or smaller? Explain.
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4.Builders use a leveling instrument with the beam from a fixed helium–neon laser reflecting in a horizontal plane from a small flat mirror mounted on an accurately vertical rotating shaft. The light is sufficiently bright and the rotation rate is sufficiently high that the reflected light appears as a horizontal line wherever it falls on a wall.
(a) Assume the mirror is at the center of a circular grain elevator of radius R. The mirror spins with constant angular velocity ωm. Find the speed of the spot of laser light on the wall.
(b) What If? Assume the spinning mirror is at a perpendicular distance d from point O on a flat vertical wall. When the spot of laser light on the wall is at distance x from point O, what is its speed?
5. You lay a mirror flat on the floor with one edge against a wall and aim a laser at the mirror. The ray reflects from the mirror and strikes the wall. The plane of the incident and reflected rays is perpendicular to the wall. The ray from the laser strikes the mirror 57.5 cm from the wall, and the reflected ray strikes the wall 30.5 cm above the mirror. Find the angle of incidence of the laser ray on the mirror.
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