skylarleannjone721 skylarleannjone721
  • 21-08-2019
  • Physics
contestada

The measurement of an electron's energy requires a time interval of 1.2×10^−8 s . What is the smallest possible uncertainty in the electron's energy?

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aristeus aristeus
  • 26-08-2019

Answer:

[tex]1.05\times 10^{-26}J[/tex]

Explanation:

The uncertainty in energy is given by [tex]\Delta E=\frac{h}{2\pi \Delta t}[/tex]

here h is plank's constant which value is [tex]6.67\times 10^{-34}[/tex] and [tex]\Delta t[/tex] is the time interval which is given as [tex]1.2\times 10^{-8}sec[/tex]

So using all the parameters the smallest possible uncertainty in electrons energy is [tex]=\frac{6.67\times 10^{-34}}{2\times \pi \times 1.2\times 10^{-8}}=1.05\times 10^{-26}J[/tex]

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