Calculation of Wavenumber and Frequency of Yellow Radiation

Introduction: Yellow radiation is a type of electromagnetic radiation with a wavelength of 5800A. In order to calculate its wavenumber and frequency, we need to use certain formulas based on the properties of electromagnetic waves.

Calculation of Wavenumber: The wavenumber (symbolized by the Greek letter nu, ν) is defined as the number of waves per unit length. It is expressed in units of inverse meters (m^-1). The formula for calculating the wavenumber is:

ν = c/λ

where c is the speed of light (3 x 10^8 m/s) and λ is the wavelength in meters. Therefore, for yellow radiation with a wavelength of 5800A (5.8 x 10^-7 m), the wavenumber can be calculated as follows:

ν = (3 x 10^8 m/s)/(5.8 x 10^-7 m) = 5.17 x 10^14 m^-1

Therefore, the wavenumber of yellow radiation is 5.17 x 10^14 m^-1.

Calculation of Frequency: The frequency (symbolized by the Greek letter nu, ν) is defined as the number of waves that pass a point in one second. It is expressed in units of hertz (Hz). The formula for calculating the frequency is:

ν = c/λ

where c is the speed of light (3 x 10^8 m/s) and λ is the wavelength in meters. Therefore, for yellow radiation with a wavelength of 5800A (5.8 x 10^-7 m), the frequency can be calculated as follows:

ν = (3 x 10^8 m/s)/(5.8 x 10^-7 m) = 5.17 x 10^14 Hz

Therefore, the frequency of yellow radiation is 5.17 x 10^14 Hz.

Conclusion: In conclusion, the wavenumber and frequency of yellow radiation with a wavelength of 5800A can be calculated using the formulas mentioned above. The wavenumber is 5.17 x 10^14 m^-1 and the frequency is 5.17 x 10^14 Hz.