The period of a macroscopic pendulum made with a mass of 10 g suspended from a massless cord 50 cm long is 1.42 s. (a) Compute the ground-state (zero-point) energy. (b) If the pendulum is set into motion so that the mass raises 0.1 mm above its equilibrium position, what will be the quantum number of the state? (c) What is the frequency of the motion in (b) ?
a) 4.51 × 10⁻³ J
b) n = 1
c) 0.707 Hz
d) n = 2