Use the worked example above to help you solve this problem. Light of wavelength

Question

Use the worked example above to help you solve this problem. Light of wavelength 548 nm in vacuum passes through a piece of fused quartz of index of refraction n = 1.458. Find the speed of light in fused quartz. What is the wavelength of this light in fused quartz? What is the frequency of the light in fused quartz? Light with wavelength 566 nm passes through crystalline sodium chloride. (The index of refraction of sodium chloride is 1.544.) Find the speed of light in this medium. Find the wavelength of the light. Find the frequency of the light.

Explanation / Answer

a)
v = c/n
= (3*10^8) / (1.458)
= 2.06*10^8 m/s

b)
lambda' = lambda/n
= 548 nm / 1.458
= 375.9 nm

c)
f = v* lambda'
= (2.06*10^8) * (375.9*10^-9)
= 77.4 Hz

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