Suppose Fuzzy, a quantum-mechanical duck, lives in a world in which h = 2 J · s.

Question

Suppose Fuzzy, a quantum-mechanical duck, lives in a world in whichh = 2J · s. Fuzzy has a mass of2.10 kg and is initially known to bewithin a pond 1.00 m wide. (a) What is the minimum uncertainty in theduck's speed?
1 m/s

(b) Assuming this uncertainty in speed to prevail for 5.10 s, determine the uncertainty in Fuzzy's positionafter this time.
2 m (a) What is the minimum uncertainty in theduck's speed?
1 m/s

(b) Assuming this uncertainty in speed to prevail for 5.10 s, determine the uncertainty in Fuzzy's positionafter this time.
2 m

Explanation / Answer

xp >= h/4 = 1/2 J*s v = (0.5 J*s)/(m*x) = (0.5 J*s)/(2.1 kg*1 m) =0.238 m/s b) x = v*t = 0.238 m/s*5.10 s = 1.21 m

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