According to the Heisenberg uncertainty principle, if the uncertainty in the speed of an electron is 3.5 × 10³ m/s, the uncertainty in its position (in m) is at least ________. (mass of an electron = 9.11 × 10^-28 g) A) 1.7 × 10^-8 m B) 6.6 × 10^-8 m C) 17 m D) 66 m E) None of these choices is correct.

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Quizplus · Accepted Answer

The Heisenberg uncertainty principle is given by Δx * Δp ≥ ħ/2, where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and ħ is the reduced Planck's constant (1.0545718 × 10^-34 Js). Δp can be calculated as mass * Δv. Converting the mass of the electron to kg (9.11 × 10^-31 kg) and using Δv = 3.5 × 10^3 m/s, we find Δp. Solving for Δx gives approximately 1.7 × 10^-8 m.

According to the Heisenberg Uncertainty Principle, If the Uncertainty in the Speed