An Optical Spectrometer. You and your team are tasked with characterizing an equilateral, triangular prism to be used in an 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(A)=(1.111 x 104 nm¹) A (nm) + 1.609 An incident beam of white light impinges on the surface (see drawing) at an angle of 42.2 degrees below the normal. The prism is in air (n = 1.000). Normal Ꮎ Red (660 nm) Violet (410 nm) (a) Relative to the prism base (i.e., the horizontal in the drawing), at what angle does red light (A-660.0 nm) emerge on the opposite side? (b) Relative to the prism base (i.e., the horizontal in the drawing), at what angle does violet light (A-410.0 nm) emerge on the opposite side? (c) What is the angular range of the full spectrum, from red to violet? (a) Number i Units (b) Number i Units (c) Number i Units
An Optical Spectrometer. You and your team are tasked with characterizing an equilateral, triangular prism to be used in an 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(A)=(1.111 x 104 nm¹) A (nm) + 1.609 An incident beam of white light impinges on the surface (see drawing) at an angle of 42.2 degrees below the normal. The prism is in air (n = 1.000). Normal Ꮎ Red (660 nm) Violet (410 nm) (a) Relative to the prism base (i.e., the horizontal in the drawing), at what angle does red light (A-660.0 nm) emerge on the opposite side? (b) Relative to the prism base (i.e., the horizontal in the drawing), at what angle does violet light (A-410.0 nm) emerge on the opposite side? (c) What is the angular range of the full spectrum, from red to violet? (a) Number i Units (b) Number i Units (c) Number i Units
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Transcribed Image Text:An Optical Spectrometer. You and your team are tasked with characterizing an equilateral, triangular prism to be used in an 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(A)=(1.111 x 104 nm¹) A (nm) + 1.609
An incident beam of white light impinges on the surface (see drawing) at an angle of 42.2 degrees below the normal. The prism is in air
(n = 1.000).
Normal
Ꮎ
Red (660 nm)
Violet (410 nm)
(a) Relative to the prism base (i.e., the horizontal in the drawing), at what angle does red light (A-660.0 nm) emerge on the opposite
side?
(b) Relative to the prism base (i.e., the horizontal in the drawing), at what angle does violet light (A-410.0 nm) emerge on the opposite
side?
(c) What is the angular range of the full spectrum, from red to violet?
(a) Number i
Units
(b) Number i
Units
(c) Number i
Units
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