The work function for a particular metal is 2.18 eV. What is the kinetic energy in eV of photoelectrons ejected when 410 nm violet light falls on this metal?
To find the kinetic energy of the photoelectrons ejected when violet light falls on the metal, we can use the equation:
Kinetic Energy = Energy of incident photons - Work Function
First, we need to calculate the energy of the incident photons using the formula:
Energy of a photon = Planck's Constant × (Speed of Light / Wavelength)
Given that the wavelength of violet light is 410 nm (or 410 × 10^(-9) meters), we can substitute the values into the formula:
Energy of a photon = (6.63 × 10^(-34) J·s) × (3.00 × 10^8 m/s) / (410 × 10^(-9) m)
Now, to convert the energy from joules to electron volts (eV), we know that 1 eV is equal to 1.6 × 10^(-19) joules. So we divide the energy of the photons by this conversion factor:
Energy of a photon (eV) = Energy of a photon (Joules) / (1.6 × 10^(-19) J/eV)
Finally, we can find the kinetic energy of the photoelectrons by subtracting the work function of the metal from the calculated energy of the incident photons:
Kinetic Energy = Energy of incident photons (eV) - Work Function
Now you can calculate the values step by step using a calculator.