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An Electron of Energy 150 Ev Has Wavelength of 10 − 10 M . the Wavelength of a 0.60 Kev Electron is - Physics

MCQ

An electron of energy 150 eV has wavelength of 10-10m. The wavelength of a 0.60 keV electron is?

Options

  • 0.50 Å

  • 0.75 Å

  • 1.2 Å

  • 1.5 Å

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Solution

0.50 Å

`λ = h/sqrt(meV)`

`λ_1 α  1/sqrt(v_1)`

`λ_2 α  1/sqrt(v_2)`

`λ_1 / λ_2 = sqrt(v_2/v_1)`

`10^-10/λ_2 = sqrt(0.60xx10^3)/150`

`=  sqrt(600/150) = 2`

`10^-10/λ_2 = 10^-10/2`

`= 0.5 xx 10^-10m`

`λ_2 = 0.5À`

Concept: de-Broglie Relation
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