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Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the Hα line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is kept at a constant temperature. (a) Find the minimum value of dα light if the dielectric has an index of refraction of 1.378. (b) If the temperature of the filter increases above the normal value increasing its thickness, what happens to the transmitted wavelength? (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light.
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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.arrow_forwardA 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 mWarrow_forwardIn the figure, two light pulses are sent through layers of plastic with thicknesses of either L or 2L as shown and indexes of refraction n1 = 1.58, n2 = 1.74, n3 = 1.62, n4 = 1.51, n5 = 1.67, n6 = 1.72, and n7 = 1.52. (a) Which pulse travels through the plastic in greater time? (b) What multiple of L/c gives the difference in the traversal times of the pulses? -- Pulse ng Pulse 1 (a) Number Units (b) Number Unitsarrow_forward
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- The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n. 1.08.) n = 1.60 n = 1.40 n = 1.20 (a) If 01 36.0°, what is the angle 0, of the emerging beam? %D (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium withn, = 1.08?arrow_forwardA parallel sided plate of glass with an index of refraction of 1.60 is in contact with the surface of water (n=1.33) in a tank. A ray coming from above makes an angle of incidence of 30.0° with the normal to the top surface of the glass plate. (a) What is the speed of light in the glass plate? (b) What is the critical angle between the glass and the water? (c) What angle does this ray make with the normal in the water? (d) Include a diagram of the situation. [Diagram 3 pts.]arrow_forwardA 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.arrow_forward
- The drawing shows an edge-on view of the solar panels on a communications satellite. The dashed line specifies the normal to the panels. Sunlight stikes the panels at an angle with respect to the normal. If the solar power impinging on the panels is 3500 W when = 68°, what is it when = 10°?arrow_forwardA 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.arrow_forward
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