Consider a compact disc on which the pits used to store the digital information measure 850 nm long by 500 nm wide. Visible light has the following wavelengths: 380-420 nm for violet; 420-440 nm for indigo; 440 nm-500 nm for blue; 500-520 nm for cyan; 520-565 nm for green; 565-590 nm for yellow; 590-625 nm for orange, 625-740 nm for red. Which of these colors, if any, could be used for building the pits on the disc? List any that will work.
Solution :-
Given data,
Wavelength ,
Voilet = 380- 420nm
Indigo = 420-440nm
Blue = 440-500 nm
Cyan = 500-520 nm
Green = 520-565 nm
Yellow = 565-590 nm
Orange = 590-625 nm
Red. = 625-740 nm
For storing information the waves should form a standing wave on the pits.
Hence the wavelength should be integral multiples of the dimensions.
Hence
Indigo i.e. 420-440 nm will form at 850 nm side with n =2
And Blue and Cyan will form at 500nm
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