Question

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

Answer 1

The frequency of this radiation 163.83 sec⁻¹ or Hz

Step-by-step 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