Ray Optics And Optical Instruments

Step 1: Write the relation between wavelength, speed and frequency.
The wavelength of light is given by the relation:

where is the speed of light in the medium and is the frequency of light.

Step 2: Wavelength of reflected light.
Reflected light remains in air, therefore the speed of light is .


Step 3: Speed of light in the medium.
The speed of light in a medium is given by:
where is the refractive index.


Step 4: Wavelength of refracted light.


Step 5: Final answer.
Wavelength of reflected light:
Wavelength of refracted light: