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  • Monochromatic light of wavelength 589 nm is incident from air on a water surface. What are the wavelength, frequency and speed of (b) refracted light? Refractive index of water is 1.33.

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

Answers (1)

best_answer

Given,

The wavelength of the monochromatic light \lambda =589nm=589*10^{-9}m

Refractive index of the water \mu_{water}=1.33

b)In the case of refraction, speed and wavelength will change as the medium is changing however, the frequency will remain the same because it doesn't change when the medium is changed,

so, frequency f=5.09 * 10^{14}Hz

Speed of rays: speed of rays in water with refractive index 1.33 is

v=\frac{c}{\mu _{water}}=\frac{3*10^8}{1.33}=2.26*10^8m/s

Now, the Wavelength of light 

\lambda =\frac{v}{f}=\frac{2.26*10^8}{5.09*10^{14}}=444.01*10^{-9}m

Hence the wavelength of light is 444.01nm, frequency is  5.09 * 10^{14}Hz and speed is 2.26*10^8m/s.

Posted by

Pankaj Sanodiya

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