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 the above.

Question

Quizplus · Accepted Answer

The Heisenberg uncertainty principle states that the product of the uncertainties in position and momentum is at least ħ/2. For an electron, using Δv = 3.5 × 10³ m/s and the mass of an electron (9.11 × 10⁻³¹ kg), the uncertainty in position Δx can be calculated using Δx ≥ ħ/(2mΔv). This calculation gives approximately 1.7 × 10⁻⁸ m.

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