he wavelength of sodium light in air is 589 nm. (a) Find its frequency in air. (b) Find its wavelength in water (refractive index = 1.33). (c) Find its frequency in water. (d) Find its speed in water.
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Given :
Wavelength of sodium light in air= λa=589 nm=589×10⁻⁹ m
Refractive index of water, μw= 1⋅33
f=c/λ,
where c=speed of light=3×10⁸ m/s
f = frequency
λ = wavelength
a) frequency in air
fa= 3 x 10⁸/ 589 x 10 ⁻⁹
=5.09 x 10 ¹⁴ /sec
b) wavelength in water
μa/μw=λw/λa
1/1.33= λw/589x 10 ⁻⁹
λw= 443nm
c) frequency in water
fw=fw=5.09x 10¹⁴ /sec
d)speed in water
μa/μw= Vw/Va
vw= μaVa/μw
=3x10⁸/1.33
=2.25x 10⁸ m/s
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