If uncertainty in the momentum of electron is zero, the uncertainty in its position would be _?
Correct answer: D. infinite
- A. Less than zero
- B. more than zero
- C. one
- D. infinite
Explanation
The uncertainty principle, as described by Heisenberg, states that it is impossible to know both the exact position and momentum of a particle simultaneously. The more precisely we know one of these properties, the less precisely we can know the other. Mathematically, this is represented as: ∆x * ∆p ≥ h/4π Where ∆x is the uncertainty in position, ∆p is the uncertainty in momentum, and h is Planck's constant. If the uncertainty in the momentum of an electron is zero, it means that we know the momentum of the Electron with absolute precision. Therefore, according to the uncertainty principle, the uncertainty in the position of the electron must be infinite, as the product of ∆x and ∆p cannot be less than h/4π.
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