Understanding the Relationship
The relationship between the frequency (ν) of electromagnetic radiation and its wavelength (λ) is defined by the following equation:
* c = νλ
Where:
* c is the speed of light in a vacuum (approximately 3 x 10⁸ m/s)
* ν is the frequency (measured in Hertz, Hz)
* λ is the wavelength (measured in meters)
Calculations
1. Convert wavelength to meters:
* 1.73 nm = 1.73 x 10⁻⁹ m
2. Rearrange the equation to solve for frequency:
* ν = c / λ
3. Substitute the values and solve:
* ν = (3 x 10⁸ m/s) / (1.73 x 10⁻⁹ m)
* ν ≈ 1.73 x 10¹⁷ Hz
Answer:
The frequency of radiation with a wavelength of 1.73 nm is approximately 1.73 x 10¹⁷ Hz.
