(a)What is the wavelength (in nanometers) of light having the frequency of 8.6x10^13 Hz?. (b) What is the frequency (in Hz) of light having a wavelength of 566nm?

Verified Answer :

The speed of the wave is: \(v = \lambda \cdot u\)

a) If we are considering a light ray, speed is "c". The wavelenght will be:

\(\lambda = \frac{c}{ u} = \frac{3\cdot 10^8\ m\cdot s^{-1}}{8.6\cdot 10^{13}\ s^{-1}}\cdot \frac{10^9\ nm}{1\ m} = \bf 3.49\cdot 10^3\ nm\)

b) The frequency will be:

\(u = \frac{c}{\lambda} = \frac{3\cdot 10^8\ m\cdot s^{-1}}{566\cdot 10^9\ m} = \bf 5.3\cdot 10^{14}\ Hz\)