Answer:
393 nm
Explanation:
The index of refraction of lucite is:
n = 1.50
The speed of light in lucite is given by:
[tex]v=\frac{c}{n}=\frac{3\cdot 10^8 m/s}{1.50}=2\cdot 10^8 m/s[/tex]
where c is the speed of light in a vacuum.
The wavelength of the light in Lucite is given by
[tex]\lambda=\frac{v}{f}[/tex]
where
[tex]v=2\cdot 10^8 m/s[/tex] is the speed of light in Lucite
[tex]f=5.09\cdot 10^{14}Hz[/tex] is the frequency
Substituting,
[tex]\lambda=\frac{2\cdot 10^8 m/s}{5.09\cdot 10^{14} Hz}=3.93\cdot 10^{-7} m = 393 nm[/tex]
