Question

Light of wavelength 600 nm in air enters a medium of refractive index 1.5 . what will be it's frequency, wavelength and speed in the medium

Answer 1

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Answer 2

Answer: The frequency is $5\times10^{14}\ Hz$, the speed of light in the medium is $2\times10^8\ m/s$ and the wavelength is $4\times10^{-7}\ m$.

Explanation:

Given that,

Wavelength $\lambda=600 nm$

Refractive index n = 1.5

We know that,

The frequency is the ratio of the speed of light and wavelength of the light.

$f = \dfrac{c}{\lambda}$

$f = \dfrac{3\times10^8}{600\times10^{-9}}$

$f = 5\times10^{14}\ Hz$

The speed in the medium is the ratio of the speed of the light in the vacuum and the refractive index.

$n = \dfrac{c}{v}$

$1.5 = \dfrac{3\times10^8}{v}$

$v = 2\times10^8\ m/s$

The wave length is the ratio of the speed of the light in the medium and frequency.

$\lambda = \dfrac{v}{f}$

$\lambda = \dfrac{2\times10^8}{5\times10^{14}}$

$\lambda = 4\times10^{-7}\ m$

Hence, The frequency is $5\times10^{14}\ Hz$, the speed of light in the medium is $2\times10^8\ m/s$ and the wavelength is $4\times10^{-7}\ m$.