Determine the moment of inertia of the area about they axis.
4) We saw in class that an electron wavefunction can actually extend through a classically forbidden region of space (potential barrier) where the potential energy is higher than the electron’s kinetic energy. This process is called quantum mechanical tunneling. In the lecture notes, we plotted th e tunneling probability for an electron as a function of barrier height and width. Using this plot, (a.) what will the probability be of finding an electron on the other side of a potential barrier 1 nm wide if its potential height is 0.5 eV higher than the kinetic energy of the electron (b.) What is the probability if the barrier is the same height as before but 5 nm wide (c.) What is the tunneling probability for a 2 nm wide barrier if the difference between electron energy and barrier height is now 1 eV Plot of tunneling probability versus barrier width from lecture notes. 1.00E+01 1.00E-01 1.00E-03 y 1.00E-05 1.00E-07 1.00E-09 Delta E = 0.5 eV Delta E = 1 eV 1.00E-11 Delta E = 0 1.00E-13 Delta E = 0.2 eV Delta E = 0.1 eV 1.00E-15
