What's kinetic energy in electron volt of a triply ion iron which has been accelerated from rest through a potential difference of 100v?
KE=energy put in=3e*100v=300ev
To calculate the kinetic energy of a triply ionized iron (Fe3+) accelerated through a potential difference of 100 volts, we need to convert the potential difference to electron volts (eV) and then apply the kinetic energy formula.
First, let's convert the potential difference of 100 volts to electron volts. This conversion can be done by multiplying the given value by the elementary charge, e, which is approximately 1.6 x 10^-19 Coulombs.
Potential Difference in eV = 100 volts * 1.6 x 10^-19 Coulombs
Next, we can calculate the kinetic energy using the kinetic energy formula:
Kinetic Energy (in eV) = (1/2) * m * v^2
In this case, we are dealing with an electron, so we need to determine the mass of an electron. The mass of an electron is approximately 9.11 x 10^-31 kilograms.
Now, we need to determine the velocity of the electron. Since the electron starts from rest, it will acquire a velocity as it is accelerated through the potential difference. The relationship between potential difference and velocity can be determined using the equation:
Potential Difference = (1/2) * m * v^2
Rearranging the equation to solve for velocity:
v = sqrt((2 * Potential Difference) / m)
Substituting the known values:
v = sqrt((2 * 100 eV * 1.6 x 10^-19 J/eV)/(9.11 x 10^-31 kg))
Now that we have the velocity, we can substitute it into the kinetic energy formula:
Kinetic Energy (in eV) = (1/2) * (mass of electron) * (velocity)^2
Substituting the known values:
Kinetic Energy (in eV) = (1/2) * (9.11 x 10^-31 kg) * (velocity^2)
By following these steps and substituting the appropriate values, you can calculate the kinetic energy of a triply ionized iron accelerated through a potential difference of 100 volts.