The potential energy of an electron in the second Bohr's orbit of the He+ ion is x, Which cant be value x in this case ?
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a
-54.4 eV
b
-27.2 eV
c
-108.8 eV
d
-13.6 eV
answer is A.
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Detailed Solution
Potential energy of the electron =−4π2mZ2e4k2n2h2(PE) of H-atom in ground state (n = 1)=-4π2me4k2h2=2-2π2me4k2h2=2-13.6 eV=-27.2 eVNote : E1H in ground state =2π2me4k2h2Z2n2=−27.2 eVFor He+ in second Bohr's orbit (n = 2, Z = 2)PE=−4π2me4k2h2Z2n2=−27.2 eV