Light of wavelength 589 nm in vacuum passes through a piece of fused quartz of
PHYSICS
JAMB 2023
Light of wavelength 589 nm in vacuum passes through a piece of fused quartz of index of refraction n = 1.458. What is the frequency of the light in fused quartz?
[Speed of light c = \(3.00×10^8 ms^-1\)
- A. \(5.09
- B. \(5.09
- C. \(1.77
- D. \(1.77
Correct Answer: B. \(5.09
Explanation
n=1.458, c=\(3.00 ×10^8 ms^-1\) ,λo = 589nm; f=?
Speed of light in a medium (v)=\(\frac{c}{n}\) where n is the refractive index of the medium
⇒λn=\(\frac{589}{1.458}\) = 404nm
v=fλ
⇒f=\(\frac{v}{λ}\)
=\(\frac{2.06×10^8}{404×10^-9}\) (\1nano=10^-9\)
∴f=\(5.09×10^14\) Hz
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