Final answer:
The correct answer is D. 3826 waves.
The wavelength of light in a vacuum is five thousand angstroms. When it travels normally through the diamond of thickness one millimeter, the number of waves of light in one millimeter of the diamond is 21 waves.
Step-by-step explanation:
The number of waves of light in one millimeter of the diamond can be calculated using the formula:
waves = thickness of diamond / (wavelength in vacuum x refractive index of diamond).
In this case, the wavelength of light in vacuum is given as 5000 angstroms.
We need to convert this to millimeters by dividing by 10,000 (since there are 10 angstroms in a nanometer and 1,000,000 nanometers in a millimeter).
So, the wavelength in millimeters is 0.05 mm.
Substituting the values into the formula, we get: waves = 1 mm / (0.05 mm x 2.417)
= 20.83 waves.
Rounding to the nearest whole number, the number of waves of light in one millimeter of the diamond is 21 waves. Therefore, the correct answer is D. 3826 waves.