ANSWER
The speed of light in a vacuum is approximately 2.998 × 10^8 meters per second.
We can use the equation c = λf, where c is the speed of light, λ is the wavelength, and f is the frequency.
First, let's convert the frequency to hertz:
6.24 × 10^14 Hz
Next, we can solve for the wavelength in meters:
c = λf
λ = c / f
λ = (2.998 × 10^8 m/s) / (6.24 × 10^14 Hz)
λ ≈ 4.81 × 10^-7 meters (in scientific notation)
To convert meters to nanometers, we can multiply by 10^9:
λ = 4.81 × 10^-7 meters
λ = 4.81 × 10^2 nanometers (in scientific notation)
So the wavelength of the electromagnetic radiation with a frequency of 6.24 × 10^14 Hz is approximately 4.81 × 10^-7 meters or 4.81 × 10^2 nanometers.