Answer:
The wavelength of the yellow light in given transparent material is 337 nm
Explanation:
Speed of the light in vacuum , [tex]c=3.00\times 10^{8}\frac{m}{s}[/tex]
Therefore speed of light in the given material is [tex]v=0.589\times c[/tex]
=>[tex]v=0.589\times 3.00\times 10^{8}\frac{m}{s}=1.767\times 10^{8}\frac{m}{s}[/tex]
frequency of yellow light , [tex]f=5.25\times 10^{14}Hz[/tex]
Wavelength in the given transparent material , [tex]\lambda =\frac{v}{f}=\frac{1.767\times 10^{8}}{5.25\times 10^{14}}m[/tex]
=> [tex]\lambda =3.366\times 10^{-7}m=336.6nm[/tex]
=>[tex]\lambda \simeq 337nm[/tex]
Thus the wavelength of the yellow light in given transparent material is 337 nm
