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 A)1.7 × 10 ⁻⁸m. B)6.6 × 10 ⁻⁸ m. C)17 m. D)66 m. E)None of these choices are correct.

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Quizplus · Accepted Answer

The Heisenberg uncertainty principle states that 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 (approximately 1.0545718 × 10^-34 Js). Given the uncertainty in speed (Δv) is 3.5 × 10^3 m/s, and using the electron's mass (9.10938356 × 10^-31 kg), we can calculate Δp = m * Δv. Solving for Δx gives approximately 1.7 × 10^-8 m.

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