Understanding the Relationship
The relationship between frequency (ν) and wavelength (λ) of electromagnetic radiation is defined by the following equation:
* c = νλ
Where:
* c is the speed of light (approximately 3 x 10⁸ m/s)
* ν is the frequency (in Hertz, Hz)
* λ is the wavelength (in meters)
Calculations
1. Convert wavelength to meters:
* 2.40 x 10⁻⁵ cm = 2.40 x 10⁻⁷ m
2. Rearrange the equation to solve for frequency:
* ν = c / λ
3. Substitute the values:
* ν = (3 x 10⁸ m/s) / (2.40 x 10⁻⁷ m)
4. Calculate the frequency:
* ν ≈ 1.25 x 10¹⁵ Hz
Answer:
The frequency of radiation with a wavelength of 2.40 x 10⁻⁵ cm is approximately 1.25 x 10¹⁵ Hz.