The uncertainty in determining the duration during which an electron remains in a particular energy…

The uncertainty in determining the duration during which an electron remains in a particular energy level before returning to the ground state is 2.0 x 10(^{-9})s. Calculate the uncertainty in determining its energy at that level. ((frac{h}{2 pi}) = h = 1.054 x 10(^{-34})Js)

Explanation

(Delta E geq frac{h}{2 pi} times frac{1}{Delta t})

(geq 1.054 times 10^{-37} times frac{1}{2 times 10^{-9}})

(geq 5.27 times 10^{-28})J

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