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How Would the Ionization Energy Change When Electron in Hydrogen Atom is Replaced by a Particle of Mass 200 Times that of Electron but Having the Same Charge ?

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प्रश्न

How would the ionization energy change when the electron in the hydrogen atom is replaced by a particle of mass 200 times that of the electron but having the same charge?

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उत्तर

The ionization energy of Hydrogen atom is

EH ∝ me    .....(1)

When mass of electron is replaced by a particle having mass=200me, then

EH' ∝ 200me   .....(2)

From (1) and (2), we have

EH'=200EH=200×(−13.6)=−2720 eV   (∵EH=−13.6 eV)

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