The wavelength of the light having the frequency 3.8 x 10¹⁴ Hz is 789.4 nm
The frequency of the light = 3.8 x 10¹⁴ Hz
The wavelength of the light can be found using the formula
λ = c / ν
where λ is the wavelength of the light
c is the speed of light ( 3 x 10⁸ m/s)
νis the frequency of the light
Let us substitute the known values in the above equation, we get
λ = 3 x 10⁸ / 3.8 x 10¹⁴
= 0.789 x 10⁸ x 10⁻¹⁴
= 0.7894736 x 10⁻⁶ m
But we need the wavelength in terms of nanometers, thus
λ = 789.4 x 10⁻⁹ m
= 789.4 nm
The wavelength of the given light is 789.4 nm
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