The rest energy of a Z⁰ boson is 91 GeV. Using the uncertainty principle, what is the approximate interaction time when it mediates weak interaction? (h = 6.63 × 10^-34 J·s) A) 7.2 × 10^-27 s B) 6.7 × 10^-26 s C) 8.5 × 10^-29 s D) 2.6 × 10^-27 s

Question

Quizplus · Accepted Answer

The uncertainty principle states that the uncertainty in the energy of a particle is related to the uncertainty in the time of its interaction by the equation ΔEΔt ≥ h/4π. In this case, the uncertainty in the energy of the Z⁰ boson is ΔE = 91 GeV, and the uncertainty in the time of its interaction is Δt. Solving for Δt, we get Δt ≥ h/4πΔE = 6.63 × 10^-34 J·s / (4π × 91 GeV) = 7.2 × 10^-27 s.

The Rest Energy of a Z0 Boson Is 91 GeV

The Rest Energy of a Z⁰ Boson Is 91 GeV