Question

What will the wavelength of a blue ray of light = 450 nm be when it leaves air and goes into water which has an index of refraction of 1.33

Answer 1

Answer:

you have already given the wavelength of the blue light

do you want to say velocity?

Explanation:

Answer 2

Given :

Wavelength of a blue ray of light in air , $\lambda=450\ nm$ .

Refractive index , n = 1.33 .

To Find :

The wavelength of same light when it goes into water which has an index of refraction of 1.33 .

Solution :

We know frequency of light is only source dependent , therefore it does not change with change in refractive index .

Therefore ,

$c=\nu\lambda$

Here , $c=3\times 10^8\ m/s$ .

We know , velocity in refractive index is given by :

$v=\dfrac{c}{n}\\\\\nu\lambda'=\dfrac{\nu\lambda}{1.33}\\\\\lambda'=\dfrac{\lambda}{1.33}\\\\\lambda'=\dfrac{450\times 10^{-9}}{1.33}\\\\\lambda'=338.35\ nm$

Therefore , wavelength of light in water is 338.35 nm .

Learn More :

Ray Optics

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