1. (6 pts.) A green laser generates a beam of light that has a wavelength of 540

Question

1. (6 pts.) A green laser generates a beam of light that has a wavelength of 540.0 nm in air. The beam then enters some heavy glass with an index of refraction of 185. In frequency of the light inside the glass. Clearly show all ef your work andorjus your answers: any order you wish, find the speed, wavelength, and 2. When designing cameras to detect light with a wavelength of 105 jum (in air), manufacturers often use lenses made of germanium crystal. a. (Bonus +1 pt.) Which region of the EM spectrum does this light fall within? b. (3 pts.) If the speed of this light is 7.2 x 10' m/s inside the germanium, what are the index of refraction of the germanium and the wavelength of this light inside the germanium? Show your work completely:

Explanation / Answer

in air lamda = 540 nm

n = 1.85

inside the glass

lamda_g = lamda/n = 540nm /1.85 = 291.9 nm

speed in glass is v = c/n

c is the speed of light in air = 3*10^8 m/sec

v = c/n = (3*10^8)/1.85 = 1.62*10^8 m/sec

but v = lamda_g*f

f = v/lamda_g = (1.62*10^8)/(291.9*10^-9) = 5.55*10^14 Hz

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