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
Question 1 Report
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
Answer Details
The uncertainty in the momentum of a particle can be calculated using Heisenberg's uncertainty principle, which states that the product of the uncertainty in the position and the uncertainty in the momentum of a particle is greater than or equal to a constant value (h/4π), where h is Planck's constant. Therefore, the uncertainty in the momentum of the particle is given by:
Δp ≥ h/4πΔx
Where Δx is the uncertainty in the position of the particle.
Substituting the given values, we get:
Δp ≥ (6.626 x 10^-34 J s) / (4π x 5.0 x 10^-10 m)
Δp ≥ 1.32 x 10^-24 Ns
Therefore, the uncertainty in the momentum of the particle is 1.32 x 10^-24 Ns. Hence, the correct option is:
- 1.32 x 10^-24 Ns
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