Question

Light with a frequency of 7.18 Ã 1014 hz lies in the violet region of the visible spectrum. what is the wavelength of this frequency of light? answer in units of nm.

Answer 1

The frequency is 7.18 × 10^14 Hz, c= 3 × 10^8 m/s, where c is the speed of light.
But; c = λf, where λ is the wavelength of the wave and f is the frequency.
Making λ the subject, we get;
λ = c/f
= (3 ×10^8)/ (7.18 ×10^14)
= 4.17827 × 10^-7 m
but 1 m = 10^9 nm
Therefore;
= (4.17827 ×10^-7) × 10^9
= 417.827 nm
Hence, the wavelength= 417.827 nm