Chapter 41: 26, 28, 31
4. A mass of 10-6 g is moving with a speed of about 0.1 cm/s in a box of length 1 cm. Treating this as a one-dimensional infinite square well potential, calculate the approximate value of the quantum number n.
5. Quantum mechanics predicts that any particle localized in space has a nonzero velocity. Consider a ping-pong ball of diameter 2cm and mass 2g that can move back and forth in a box of length 2.001 cm. Therefore, the space in which the ball moves is only 0.001 cm in length. (a) What is the minimum speed of the ping-pong ball according to Schroedinger's equation? (b) What is the period of one oscillation?