The mass of a particle is 10^-10 g and its diameter is 10^-4 cm. If its speed is 10^-6 cm/s with 0.0 — Atomic Structure Chemistry Question
Question
The mass of a particle is 10^-10 g and its diameter is 10^-4 cm. If its speed is 10^-6 cm/s with 0.0001% uncertainty in measurement, the minimum uncertainty in its position is
Answer: A
💡 Solution & Explanation
m = 10^-13 kg, v = 10^-8 m/s, Δv = 0.0001% of v = 10^-14 m/s. Δx ≥ h/(4π*m*Δv) = 6.626*10^-34 / (4π * 10^-13 * 10^-14) ≈ 5.27*10^-8 m.
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