Question

A radio station broadcasts on a frequency of 6000 khz. the wave number of the electromagnetic radiation emitted by transmitter is

A) 5 x 10⁶ m⁻¹
B) 5 x 10⁷ m⁻¹
C) 5 x 10⁸ m⁻¹
D) 5 x 10⁹ m⁻¹

Answer 1

The wavenumber is 5 x 10⁸ m⁻¹. Option C

Wavenumber is a term commonly used in the context of spectroscopy, particularly in the field of vibrational spectroscopy like infrared spectroscopy. It is a unit of frequency defined as the number of wavelengths per unit distance, usually expressed in reciprocal meters. Wavenumber is mathematically related to frequency and is often used as an alternative way to represent the energy

We know that;

Wavenumber = 1/ f

= 1/6000 *
`10^3`

= 5 x 10⁸ m⁻¹