Find energy of an X-ray photon which can impart maximum energy of 50 keV to electron?
Could swear eV IS a unit of energy...
To find the energy of an X-ray photon that can impart a maximum energy of 50 keV to an electron, we can use the energy conservation equation. The equation is given by:
E_photon = E_initial - E_final
Where:
E_photon is the energy of the X-ray photon,
E_initial is the initial energy of the electron, and
E_final is the final energy of the electron.
Since the maximum energy transferred is 50 keV, we can say that the electron's initial energy is zero, and its final energy is 50 keV.
Therefore:
E_photon = E_initial - E_final
E_photon = 0 - 50 keV
E_photon = -50 keV
However, energy cannot be negative, so we take the absolute value:
E_photon = 50 keV
Therefore, the energy of an X-ray photon that can impart a maximum energy of 50 keV to an electron is 50 keV.
To find the energy of an X-ray photon that can impart a maximum energy of 50 keV to an electron, we can use the equation:
Energy of a photon = Energy imparted to electron
The energy imparted to an electron can be calculated using:
Energy imparted to electron = Electron rest mass energy + Maximum kinetic energy imparted
The electron rest mass energy is given by Einstein's famous equation:
Electron rest mass energy (E=mc²) = (Rest mass of electron) * (Speed of light)²
The rest mass of an electron is approximately 9.10938356 × 10⁻³¹ kilograms, and the speed of light is approximately 2.998 × 10⁸ meters per second. Plugging in these values, we can calculate the electron rest mass energy.
Electron rest mass energy ≈ (9.10938356 × 10⁻³¹ kg) * (2.998 × 10⁸ m/s)²
Next, we subtract the electron rest mass energy from the maximum kinetic energy imparted to get the energy of the photon:
Energy of the photon = Maximum kinetic energy imparted - Electron rest mass energy
Energy of the photon ≈ 50 keV - Electron rest mass energy
By substituting the values, we can find the energy of the X-ray photon.