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Answer :
Given Data:
Frequency of radiation = 6.00 x [tex]10^{15}[/tex] Hz
The relationship between frequency and wavelength is expressed by the formula , c = λν, where λ is the wavelength of the radiation,
ν is the frequency of the radiation, c is the velocity of light in free space.
c =3 x [tex]10^{8}[/tex] m/s , ν = 6.00 x [tex]10^{15}[/tex] Hz
Then , wavelength of the radiation is , λ = [tex]\frac{c}{v}[/tex] = [tex]\frac{3X10^{8} }{6X10^{15} }[/tex] = 0.5 x [tex]10^{-7}[/tex] m
= 50 nm.
Hence, the radiation with a frequency will have a wavelength of 50 x [tex]10^{-9}[/tex] m = 50 nm.
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