1. You can accelerate electrons by placing them between charged plates (often us
ID: 474900 • Letter: 1
Question
1. You can accelerate electrons by placing them between charged plates (often used in microscopes), consider an electron between two plates with a 163 volt charge across the plates, determine the wavelength associated with the electron with a mass of 9.11 x 10-31 kg. moving at a speed of 2.209x106 m/s. The answer should be in picometers with one decimal of accuracy.
2. What is the ionization energy in electron volts for a hydrogen electron in the ground state? The answer should have 1 decimal of accuracy.
Explanation / Answer
1]
wavelength = h /mv
m = mass of electron
v = velocity of electron
h = plancks constant
wavelength = 6.625*10^-34 / 9.11*10^-31 *2.209x10^6 = 329.2 pm
2]
Hydrogen contains 1 electron
Energy of electron in ground state = Ionisation energy for a electron in the ground state
E = -13.6 /n^2 in eV [ n = orbit ]
E = -13.6 / 1 = -13.6 eV
So we need 13.6 eV for ionisation of electron in the ground state
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