About The Bohr Model of the Hydrogen Atom

AI Thread Summary
To determine the energy required to remove the remaining electron from a singly ionized helium atom (He+), the relevant equations involve the energy levels, where energy is proportional to the atomic number (Z) and inversely proportional to the square of the principal quantum number (n). For hydrogen, the ground state energy is -13.6 eV, and for He+ with Z=2 and n=1, the energy can be calculated as E = -13.6 eV * (Z^2) = -54.4 eV. Thus, the energy required to remove the electron is 54.4 eV. The correct answer is (d) 54.4 eV. Understanding these relationships is crucial for solving similar problems in atomic physics.
A B C
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Homework Statement



What energy (in eV) is required to remove the remaining electron from a singly ionized helium
atom, He+ (Z = 2)?
(a) 3.40 eV (c) 27.2 eV (e) 76.9 eV
(b) 13.6 eV (d) 54.4 eV


Homework Equations



Ei - Ef = hf

The Attempt at a Solution



Ef: the 1st level
Ei: the 2nd level
 
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Do you know the relation between E and Z & n.

E \propto Z
E \propto \frac{1}{{n}^{2}}

For the ground state(n=1) of hydrogen(Z=1), E = -13.6eV

Here Z=2 & n=1.
 
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Thanks a lot (:
 
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