A thin square has total mass M=1.83~\mathrm{kg}M=1.83 kg and side length L=2.19~\mathrm{m}.L=2.19 m. The mass is distributed uniformly across the square. What is the moment of inertia of the square about an axis that goes through one of its corners, perpendicularly to the square?

An electron is trapped at a defect in a crystal. the defect may be modeled as a one-dimensional, rigid-walled box of width 1.00 nm. (a) sketch the wavefunctions and probability densities for the n 1 and n 2 states. (b) for the n 1 state, nd the probability of nding the electron between x1 0.15 nm and x2 0.35 nm, where x 0 is the left side of the box. (c) repeat (b) for the n 2 state. (d) calculate the energies in electron volts of the n 1 and n 2 states