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Question

Uncertainty in position of a 0.25 g particle is 105. Uncertainty in velocity of that particle is:
(h=6.6×1034J s)

A
1.2×1034 ms1
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B
2.1×1025 ms1
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C
1.6×1029 ms1
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D
1.7×109 ms1
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Solution

The correct option is B 2.1×1025 ms1
According to the Heisenberg uncertainty principle, the exact momentum and position of a particle can’t be calculated simultaneously.
Mathematically represented as:
Δp.Δxh4π
Δx×(m×Δv)=h4π
Δv=hΔx×m×4π
Δv=6.6×1034105×(2.5×104)×3.14×4
= 2.1×1025 ms1

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