If uncertainty in position and momentum are equal, then uncertainty in velocity is
NEET UG 2008 — Chemistry Physical Chemistry
2008mcqeasy
If uncertainty in position and momentum are equal, then uncertainty in velocity is
Official previous-year question
Held on 30 Apr 2008 · Verified 9 Jul 2026.
Options
A
2m1πh
B
2πh
C
m1πh
D
πh
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Solution
Key Idea: According to Heisenberg's uncertainty principle, it is impossible to determine simultaneously the position and momentum of a moving microscopic particle, ie, Δx×Δp≥4πh∵Δx×Δp≥4πh Here Δx=Δp and Δp=m⋅Δv∴Δv2=m24πhor Δv=2m1πh Note: The uncertainty principle in terms of energy and time is given as ΔE⋅Δt≥4πh
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