STANDARDPhysics-Quantum Mechanics
STANDARD Physics Uncertainty Principle MCQ Question
Type: MCQ-conceptual-Medium
If uncertainty in position and momentum are equal, then uncertainty in velocity is
A
1/m √(h/π)
B
√(h/π)
C
1/2m √(h/π)
D
√(h/2π)
Correct Answer
Option C
Detailed Explanation
Using the uncertainty principle, Δx × Δp = h/4π, and given Δx = Δp, we find Δp = h/4π. Substituting into the equation for velocity, mΔv = 1/2 √(h/π), we solve for Δv = 1/2m √(h/π).
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