Abeam of monochromatic light (f =5.09 ×1014 hz) has a wavelength of 589 nanometers in air. what is the wavelength of this light in lucite?
(1)150 nm
(2)393 nm
(3)589 nm
(4)884 nm

Lucite has a refractive index of n=1.50. This means that the speed of the light in lucite is decreased according to:

where is the speed of light in air. Putting the number in the formula, we find that the speed of light in lucite is

The frequency of the light is , so now we can calculate the wavelength in lucite by using the formula:

Therefore, the correct answer is (2) 393 nm.

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