An electromagnetic radiation has a frequency of 5.00 X 10^14 Hz. Calculate its wavelength in a vacuum in metres and nanomatres?

To calculate the wavelength of an electromagnetic radiation, you can use the formula:

λ = c / f

Where:
λ is the wavelength,
c is the speed of light (approximately 3.00 × 10^8 meters per second),
f is the frequency of the radiation.

1. First, plug in the given frequency value:
f = 5.00 × 10^14 Hz

2. Now, substitute the values in the formula:
λ = (3.00 × 10^8 m/s) / (5.00 × 10^14 Hz)

3. Calculate the wavelength:
λ ≈ 6.0 × 10^-7 meters (or 600 nm)

Therefore, the wavelength of the electromagnetic radiation is approximately 6.0 × 10^-7 meters (or 600 nm).