The frequency of the light with the given wavelength in water is 3.75 × 10¹⁴ Hz.
Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.
Both frequency and wavelength are inversely proportional to each other.
Using the wavelength, frequecy and speed relation;
λ = v / f
Where λ is wavelength, v is speed and f is frequency.
Given the data in the question;
We know that frquency in water is the same as frequecy in air, it doesnt change due to medium.
From the expression above, the frequency of the light will be;
λ = v / f
f = Vw / λw
But,
Refractive index u = velocity of light in air / velocity of light in medium ( water )
So,
Vw = ( 3×10⁸m/s × 1 ) / 1.33
Vw = 2.25 × 10⁸m/s
Hence,
f = Vw / λw
f = ( 2.25 × 10⁸m/s ) / ( 6.0 × 10⁻⁷m )
f = 3.75 × 10¹⁴ s⁻¹
f = 3.75 × 10¹⁴ Hz
Therefore, the frequency of light that with the given wavelength in water is 3.75 × 10¹⁴ Hz.
Learn more about frequency and wavelength: https://brainly.com/question/21592764
