Question

A microscope using photons is employed to locate an electron in an atom within a distance of 0.2 A0
. What is the uncertainty in the momentum of the electron located in this way?

Answer 1

A microscope using photons is employed to locate an electron in an atom within a distance of 0.2 A0

. What is the uncertainty in the momentum of the electron located in this way?

Explanation:

Δx.Δp≥    h /4π

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,   Δp=mΔv,    

Δv=  Δp  /m

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∴Δv≥    h /4πmΔx

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⇒Δv≥  

 

6.626×10  ⁻³⁴ /4×3.14×9.11×10  ⁻³¹  ×0.1×10  ⁻¹⁰

 

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⇒Δv≥5.79×10  ⁶m/s