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Question

If the potential energy of the electron in the first allowed orbit in hydrogen atom is E; its

A
Ionization potential is E/2
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B
Kinetic energy is E/2
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C
Total energy is E/2
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D
None of these
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Solution

The correct options are
A Kinetic energy is E/2
B Ionization potential is E/2
C Total energy is E/2
By centripetal force balance on electron:
ke2r2=mv2r
2KE=U
Given: Potential Energy =E
KE=E/2
Total Energy =T=KE+U=E/2
Ionisation Potential:
Energy required to remove electron =T

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