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Q.

The total energy of an electron in tire first excited state of hydrogen is about -3.4 eV. Its kinetic energy in this state is

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a

-3.4 eV

b

-6.8 eV

c

6.8 eV

d

3.4 eV

answer is D.

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Detailed Solution

Kinetic energy of electronK=Ze28πε0rPotential energy of electron U=−14πε0Ze2r∴Total energyE=K+U=Ze28πεor−Ze24πεoror  E=−Ze28πεoror  E=−Kor  K=−E=−−3.4=3.4eV
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The total energy of an electron in tire first excited state of hydrogen is about -3.4 eV. Its kinetic energy in this state is