Uncertainty Principle Using ΔEΔt ≥ ħ/2: the Energy of an Electron

question 25

Multiple Choice

Uncertainty principle using ΔEΔt ≥ ħ/2: The energy of an electron state has an uncertainty of 0.500 eV. What is the minimum uncertainty in the lifetime of the level? (ħ = 1.055 × 10^-34 J ∙ s = 6.591 × 10^-16 eV ∙ s, 1 eV = 1.60 × 10^-19 J)

• A) 6.59 × 10^-16 s
• B) 4.14 × 10^-15 s
• C) 6.59 × 10^-12 s
• D) 4.14 × 10^-11 s
• E) 6.59 × 10^-9 s

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Definitions:

Leakage Current

The amount of current that flows through the dielectric separating the plates of a capacitor.

Dielectric Material

A non-conductive substance that is used to store electric charge, typically between the plates of a capacitor.

Series Connection

An electrical circuit arrangement where components are connected end-to-end in a single path for current to flow.

Total Capacitance

In parallel circuits, it's the sum of individual capacitances of all capacitors, and in series circuits, it's calculated through the reciprocal of the sum of the reciprocals of the individual capacitances.