Suppose that the speed of an electron traveling 2000 m/s isknown to an accuracy

Question

Suppose that the speed of an electron traveling 2000 m/s isknown to an accuracy of 1 part in 10^5 (i.e., within 0.001%). What is the greatest possibleaccuracy within which we can determine the position of this electron? A) 2.9 mm B) 5.8 mm C) 8.7 mm D) 1.2 cm Suppose that the speed of an electron traveling 2000 m/s isknown to an accuracy of 1 part in 10^5 (i.e., within 0.001%). What is the greatest possibleaccuracy within which we can determine the position of this electron? A) 2.9 mm B) 5.8 mm C) 8.7 mm D) 1.2 cm

Explanation / Answer

Mass m = 9.11 * 10 ^ -31 kg

Speed v = 2000 m / s

Accuracy in speed dV = (1/ 10 ^ 5) * 2000 = 2000* 10 ^ -5 m/ s

Acuuracy in momentm dP = m * dV = 2000* 9.11 * 10 ^ -36 kg m /s

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