A beam of white light is incident on the surface of a diamond at an angle θa.(Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. The indices of refraction in diamond are nred=2.410red=2.410 for red light and nblue=2.450 blue=2.450 for blue light. The surrounding air has nair=1.000 air=1.000. Note that the angles in the figure are not to scale. Calculate vblue, the speed of blue light in the diamond. To four significant figures, c=2.998×108m/s Derive a formula for δ, the angle between the red and blue refracted rays in the diamond. Express the angle in terms of nred, nblue, and θa. Use nair=1. Note that any trig function entered in your answer must be followed by an argument in parentheses.
A beam of white light is incident on the surface of a diamond at an angle θa.(Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. The indices of refraction in diamond are nred=2.410red=2.410 for red light and nblue=2.450 blue=2.450 for blue light. The surrounding air has nair=1.000 air=1.000. Note that the angles in the figure are not to scale. Calculate vblue, the speed of blue light in the diamond. To four significant figures, c=2.998×108m/s Derive a formula for δ, the angle between the red and blue refracted rays in the diamond. Express the angle in terms of nred, nblue, and θa. Use nair=1. Note that any trig function entered in your answer must be followed by an argument in parentheses.
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A beam of white light is incident on the surface of a diamond at an angle θa.(Figure 1) Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. The indices of refraction in diamond are nred=2.410red=2.410 for red light and nblue=2.450 blue=2.450 for blue light. The surrounding air has nair=1.000 air=1.000. Note that the angles in the figure are not to scale.
Calculate vblue, the
Derive a formula for δ, the angle between the red and blue refracted rays in the diamond.
Express the angle in terms of nred, nblue, and θa. Use nair=1. Note that any trig function entered in your answer must be followed by an argument in parentheses.
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