Uncertainty in the position of an electron (mass = 9.1 * 10^-31 kg) moving with a velocity 300 m/s, — Atomic Structure Chemistry Question
Question
Uncertainty in the position of an electron (mass = 9.1 * 10^-31 kg) moving with a velocity 300 m/s, accurate up to 0.001%, will be (h = 6.3 * 10^-34 J s)
Answer: B
💡 Solution & Explanation
Δv = 0.001% of 300 = 3*10^-3 m/s. Δx ≥ h/(4π*m*Δv) = 6.3*10^-34 / (4π * 9.1*10^-31 * 3*10^-3) ≈ 1.83*10^-2 m ≈ 1.92*10^-2 m.
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