# Q10.1  Monochromatic light of wavelength 589 nm is incident from air on a water surface. What are the wavelength, frequency and speed of (a) reflected. Refractive index of water is 1.33.

Given a monochromatic light has a wavelength of $589 nm\ or\ 589\times 10^{-9}m$.

And as we know the speed of the light in air is, $c = 3\times 10^{8} m/s$.

Refractive index of water, $\mu = 1.33$

Therefore we have now,

The ray is incident on the medium, and then it gets reflected back to the same medium therefore, the wavelength, speed, and frequency will be the same as that of the incident ray.

We have the frequency of light is given by the relation,

$v = \frac{c}{\lambda}$

$= \frac{3\times 10^8 m/s}{589\times 10^{-9}}$

$= 5.09\times 10^{14}Hertz$$= 5.09\times 10^{14}Hertz$

Therefore the speed, frequency, and the wavelength of the reflected light are $3\times 10^{8} m/s$$5.09\times 10^{14}Hertz$, and $589 nm$ respectively.

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