What is the wavelength of electromagnetic radiation that has a frequenc of 3 x 10 16 Hz? In what part of the spectrum does this radiation occur?
To calculate the wavelength of electromagnetic radiation, you can use the formula:
wavelength = speed of light / frequency
The speed of light is approximately 3 x 10^8 meters per second.
Now, let's plug in the values:
wavelength = (3 x 10^8 m/s) / (3 x 10^16 Hz)
By simplifying the expression, we get:
wavelength = (10^8 m) / (10^16 Hz)
To divide the quantities with the same base, we subtract the exponents:
wavelength = 10^(-8) m
This means the wavelength is 0.00000001 meters, or 10^-8 meters.
Now, let's determine the part of the spectrum where this radiation occurs. The electromagnetic spectrum is divided into various regions based on wavelength or frequency.
The given wavelength falls into the range of 10^-8 meters, which corresponds to a very short wavelength. Radiation with such a short wavelength is categorized as gamma radiation.
Therefore, electromagnetic radiation with a frequency of 3 x 10^16 Hz belongs to the gamma ray part of the spectrum.