Final answer:
To find the frequency of an electromagnetic wave with a wavelength of 920 nm, first convert the wavelength to meters and then use the formula c = λν to solve for frequency (ν). The frequency is approximately 3.26 × 10⁹ Hz.
Step-by-step explanation:
The question asks for the calculation of the frequency of an electromagnetic wave with a given wavelength of 920 nanometers (nm), using the speed of light.
To find the frequency (ν), we use the formula c = λν, where c is the speed of light (3 × 10⁸ m/s) and λ is the wavelength of the wave.
First, we must convert the wavelength from nanometers to meters by multiplying by 10⁻¹ m/nm:
- λ = 920 nm × 10⁻¹ m/nm = 9.20 × 10⁻· m
Next, we rearrange the formula to solve for ν:
- ν = c / λ
- ν = (3 × 10⁸ m/s) / (9.20 × 10⁻· m)
- ν ≈ 3.26 × 10⁹ Hz
Hence, the frequency of the electromagnetic wave is approximately 3.26 × 10⁹ Hz.