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Question: Quantum phenomena are often negligible in the "macroscopic" world. Show this numerically for the following cases:

(a) The amplitude of the zero-point oscillation for a pendulum of length I = 1 m and mass m = 1 kg.

(b) The tunneling probability for a marble of mass m = 5 g moving at a speed of 10 cm/set against a rigid obstacle of height H = 5 cm and width w = 1 cm.

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