Lights containing mercury vapor are used in sports arenas, factories, and streetlights. The wavelength of a bright line in the visible emission spectrum of mercury vapor is 546.1 nm. What is the frequency of this radiation

The frequency of this radiation 163.83 sec⁻¹ or Hz

Explanation:

The wavelength of a bright line in the visible emission spectrum of mercury vapor is 546.1 nm.

         ∵1 nm = 10⁻⁹ m

 ⇒   546.1 nm = 546,1 x 10⁻⁹ m

We know   Frequency(ν) = Speed of light(C) x Wavelength(λ)

           ⇒    Frequency = 3 x 10⁸ x 546.1 x 10⁻⁹

                                      = 1638.3 x 0.1

                                      = 163.83 sec⁻¹ or Hz

∴ The frequency of this radiation 163.83 sec⁻¹ or Hz