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STANDARDPhysics-Quantum Mechanics

STANDARD Physics Uncertainty Principle MCQ Question

Type: MCQ-numerical-Medium

The uncertainty in momentum of an electron is 1 × 10⁻⁵ kg·m/s. The uncertainty in its position will be (h = 6.62 × 10⁻³⁴ kg·m²/s)

A

1.05 × 10⁻²⁸ m

B

1.05 × 10⁻²⁶ m

C

5.27 × 10⁻³⁰ m

D

5.25 × 10⁻²⁸ m

Correct Answer

Option C

Detailed Explanation

According to the uncertainty principle, Δx × Δp = h/4π. Substituting the given values, Δx = h/(Δp × 4π) = 6.62 × 10⁻³⁴ / (1 × 10⁻⁵ × 4 × 3.14) = 5.27 × 10⁻³⁰ m.

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