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Question

Find the range of frequency of light that is visible to an average human being 400 nm <λ<700 nm.

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Solution

Given:
Range of wave length is
400 nm<λ<700 nm
We know that frequency is given by f=cλ,
where c=speed of light=3×108 m/s
f is the frequency
λ is the wavelength
We can write wavelength as:
1700 nm<1λ<1400 nm17×10-7 m<1λ<14×10-7 m3×1087×10-7 Hz<cλ<3×1084×10-7 Hz4.3×1014 Hz<cλ<7.5×1014 Hz4.3×1014 Hz<f<7.5×1014 Hz

Hence, frequency of the range of light that is visible to an average human being is 4.3×1014 Hz to7.5×1014 Hz.

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