If the uncertainty in the measurement of the position of a particle is 5.0 x 10-10m, the uncertainty in the momentum of the particle is
1.32 x 10-44Ns
3.30 x 10-44Ns
1.32 x 10-24Ns
3.30 x 10-24Ns
Explanation
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The correct answer is:
C) 1.32 × 10⁻²⁴ Ns
Explanation:
Using the Heisenberg Uncertainty Principle:
Δx × Δp >= h/4π
Rearranging to solve for Δp:
Δp >= h / (4π × Δx)
Plugging in values:
Δp >= (6.626 × 10⁻³⁴ J s) / (4π × 5 × 10⁻¹⁰ m)
≈ 1.055 × 10⁻²⁴ kg m/s
Converting to Ns (Newton-seconds):
Δp ≈ 1.055 × 10⁻²⁴ kg m/s ≈ 1.32 × 10⁻²⁴ Ns
So, the correct answer is C) 1.32 × 10⁻²⁴ Ns.
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