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An Optical Spectrometer. You and your team are tasked with characterizing an equilateral, triangular prism to be tise:arinats optical spectrometer. An optical spectrometer contains a dispersive element (in this case, the prism) that separates an incoming beam of light into its constituent wavelengths (or colors), and a photocell that measures the intensity of each color (wavelength) by measuring the intensity of the dispersed light as a function of angle. The index of refraction of the prism material you are using depends on the wavelength as n()=(1.113104nm1)(nm)+1.628 An incident beam of white light impinges on the surface (see drawing) at an angle of 44.8 degrees below the normal. The prism is in air (n=1.000) (a) Relative to the prism base (i.e., the horizontal in the drawing), at what angle does red light (=660.0nm) emerge on the opposite side? (b) Relative to the prism base (i.e, the horizontal in the drawing), at what angle does violet light (=410.0 nm) emerge on the opposite side? (c) What is the angular range of the full spectrum, from red to violet? An Optical Spectrometer. You and your team are tasked with characterizing an equilateral, triangular prism to be tise:arinats optical spectrometer. An optical spectrometer contains a dispersive element (in this case, the prism) that separates an incoming beam of light into its constituent wavelengths (or colors), and a photocell that measures the intensity of each color (wavelength) by measuring the intensity of the dispersed light as a function of angle. The index of refraction of the prism material you are using depends on the wavelength as n()=(1.113104nm1)(nm)+1.628 An incident beam of white light impinges on the surface (see drawing) at an angle of 44.8 degrees below the normal. The prism is in air (n=1.000) (a) Relative to the prism base (i.e., the horizontal in the drawing), at what angle does red light (=660.0nm) emerge on the opposite side? (b) Relative to the prism base (i.e, the horizontal in the drawing), at what angle does violet light (=410.0 nm) emerge on the opposite side? (c) What is the angular range of the full spectrum, from red to violet

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