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Question

The wavelength range of the visible spectrum extends from violet (400 nm) to red (750 nm). Express these wavelength in frequencies (Hz). (1 nm = 109 m).


A

4×1014 to 7.5×1014Hz

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B

8×1014 to 16×1014Hz

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C

7×1014 to 16×1014Hz

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D

7.5×1014 to 16×1014Hz

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Solution

The correct option is A

4×1014 to 7.5×1014Hz


We know that,
v=cλ
Now, frequency of violet light is:
v=cλ=3.00×108ms1400×109m=7.50×1014Hz

Frequency of red light is:
v=cλ=3.00×108ms1750×109m=4.00×1014Hz

The range of visible spectrum is from 4.0×1014Hz in terms of frequency units.


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