The energy of the em waves is of the order of 15 kev.to which part of the spectrum does it belong?
google electromagnetic spectrum energy
E = h f
= 6.626 *10^-34 f Joules
1 ev = 1.6 * 10^-19 J
so E is 15*10^3 *1.6*10^-19 J
= 24 * 10^-16 Joules
so
24 * 10^-16 = 6.626*10^-34 f
f = 3.62 * 10^18 Hz
now go look at your spectrum
if it is by wavelength
lambda = 3*10^8/(3.62*10^18)
= .828 * 10^-10
= 8.28 * 10^-11 meters
Xray or Gamma ray
To determine the part of the spectrum to which the energy of the electromagnetic waves belongs, we need to refer to the electromagnetic spectrum. The electromagnetic spectrum categorizes electromagnetic waves based on their wavelengths or frequencies.
The energy of electromagnetic waves is directly related to their frequency. Higher frequency waves have higher energy, while lower frequency waves have lower energy. Conversely, shorter wavelength waves have higher energy, and longer wavelength waves have lower energy.
In this case, 15 keV (kilo-electron volts) refers to the energy of the electromagnetic waves. Electron volts (eV) is a unit of energy commonly used to describe the energy of particles or waves in the realm of atomic and subatomic physics.
To convert from the energy in electron volts (eV) to the corresponding frequency or wavelength, we can utilize the equation E = hf, where E represents energy, h is Planck's constant (approximately 4.135 × 10^-15 eV·s), and f represents frequency. Rearranging the equation, we get f = E/h.
Considering the energy of 15 keV, we first need to convert it into electron volts by multiplying by 1000: 15 keV = 15,000 eV.
Substituting this value into the equation f = E/h, and dividing by Planck's constant, we can calculate the corresponding frequency: f = (15,000 eV) / (4.135 × 10^-15 eV·s).
Calculating the result, we find the frequency is approximately 3.63 × 10^18 Hz.
Now, referring to the electromagnetic spectrum, we can determine the corresponding part of the spectrum for this frequency. The electromagnetic spectrum includes various regions, such as radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays.
With a frequency of approximately 3.63 × 10^18 Hz, the energy of the electromagnetic waves belongs to the gamma ray part of the spectrum. Gamma rays have the highest frequency and energy among all the regions of the electromagnetic spectrum.