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Question 31

Given below are two statements:
Statement I : Bohr's theory accounts for the stability and line spectrum of Li$$^+$$ ion.
Statement II : Bohr's theory was unable to explain the splitting of spectral lines in the presence of a magnetic field.
In the light of the above statements, choose the most appropriate answer from the options given below:

Statement I says that Bohr's theory accounts for the stability and line spectrum of $$\text{Li}^+$$. The ion $$\text{Li}^+$$ has atomic number 3 and charge +1, meaning it retains 2 electrons. Since Bohr's theory applies only to single-electron (hydrogen-like) species such as $$\text{H}$$, $$\text{He}^+$$, and $$\text{Li}^{2+}$$, it cannot explain the spectrum of the two-electron $$\text{Li}^+$$ ion. Statement I is false.

Statement II says that Bohr's theory was unable to explain the splitting of spectral lines in the presence of a magnetic field, known as the Zeeman effect. This is correct — Bohr's model lacks the quantum numbers needed to account for this splitting. Statement II is true.

Since Statement I is false and Statement II is true, the correct answer is option (2).

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