Suppose optical radiation (gamma = 5.00 x 10^-7 m) is used to determine the position of an electron to within the wavelength of the light. What will be the resulting uncertainty in the electron's velocity?
wavelength = 5.00 x 10^ -7 m
mass of electron = 9.11 x 10^ -31 kg
gamma = h/p = h/mv
(delta x)(delta p) = h/4pi
The Attempt at a Solution
I solved for momentum and got 1.33 x 10^-27 kg. I tried to then plug that value back into the equation and solve for velocity, but the answer is way off. I am sure I need to use the uncertainty principle equation, but I'm not sure where to go. I can solve for delta x, and then...?