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Question 600214
JEE Chemistry · Hard

Atomic Structure: Uncertainty MCQ

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UncertaintyHardQuestion 600214

Question

Heisenberg uncertainty principle states Δx·Δp ≥ h/4π. If the uncertainty in position of an electron is 1 Å, the minimum uncertainty in momentum is approximately:
  1. A
    5.3×10⁻²⁵ kg m/s
    Correct
  2. B
    5.3×10⁻²⁷ kg m/s
  3. C
    1.05×10⁻²⁴ kg m/s
  4. D
    h/2π

Correct answer

5.3×10⁻²⁵ kg m/s

Explanation

Δp ≥ h/(4π·Δx) = 6.63×10⁻³⁴/(4π×10⁻¹⁰) ≈ 5.3×10⁻²⁵ kg·m/s.

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