The uncertinty in determining the duration during which an electron remains in a particular energy...

PHYSICS
WAEC 2006

The uncertinty 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 [Take \(\frac{h}{2\pi} = h = 1.054 \times 10^{-34}\) Js]

Explanation

\(\Delta E \geq \frac{h}{2\pi} \times \frac{1}{2t} = 1.054 x 10^{-37} \times \frac{1}{2.0 \times 10^{-9}}\)

\(\Delta E \geq 5.27 \times 10^{-25}\)J



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