AIPMT MAIN2008Physics-Quantum Mechanics
AIPMT MAIN 2008 Physics Uncertainty Principle MCQ Question
Type: MCQ-numerical-Hard
If uncertainty in position and momentum are equal, then uncertainty in velocity is
A
√(ħ/π)
B
1/(2m) √(ħ/π)
C
ħ/√(2π)
D
1/m √(ħ/π)
Correct Answer
Option B
Detailed Explanation
Using the uncertainty principle, Δx = Δp, and Δp² = ħ/4π, we find Δv = 1/(2m) √(ħ/π) by substituting the mass and rearranging the terms.
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