State whether the following statements are true or false: For a particle in a box (PIB) in one dimension, the energy is quantized. For a PIB in one dimension, the boundary condition must have E of at least 0. The probability of finding a PIB in one dimension approaches zero as x approaches positive or negative infinity. For a particle in a rectangular well, the N number of bound states increases when the particle is changed from being an electron to a nucleus.

State whether the following statements are true or false: For a particle in a box (PIB) in one dimension, the energy is quantized. For a PIB in one dimension, the boundary condition must have E of at least 0. The probability of finding a PIB in one dimension approaches zero as x approaches positive or negative infinity. For a particle in a rectangular well, the N number of bound states increases when the particle is changed from being an electron to a nucleus.