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The wave length range of the visible s...

The wave length range of the visible spectrum extends from violet (400 nm)to red ( 750 nm). Express these wavelengthsin frequencies ( Hz) ` ( 1 nm =10^(-9) m)`.

Text Solution

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Wavelength of violet radiation `= 400nm = 400 xx 10^(-9) m`
`:.` Frequency `(v) = (c)/(lamda) = (3 xx 10^(8) ms^(-1))/(400 xx 10^(-9) m) = 7.5 xx 10^(14) s^(-1) or 7.5 xx 10^(14)Hz`
Wavelength of red radiation `= 750nm = 750 xx 10^(-9)m`
`:.` Frequency `(v) = (c)/(lamda) = (3 xx 10^(8) ms^(-1))/(750 xx 10^(-9)m) = 4.00 xx 10^(14) s^(-1) or 4.00 xx 10^(14)Hz`
Thus, in terms of frequency, the range of the visible lights is from `4.0 xx 10^(14) Hz " to " 7.5 xx 10^(14)Hz`
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