JEE Main 2021 · 18 March · evening · Single correct · +4 / −1
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 :
- (a) Statement I is false but statement II is true.
- (b) Both statement I and statement II are true.
- (c) Statement I is true but statement II is false.
- (d) Both statement I and statement II are false.
Answer and solution
Answer (a) Statement I is false but statement II is true.
Solution
Chemistry ma’am · 4 steps
Before trusting Bohr for any ion, count its electrons: the model works only when there is exactly one.
- Where Bohr works. Bohr's model treats one electron moving around a nucleus. It explains the stability and line spectrum only of one-electron species such as H, He⁺ and Li²⁺.
- Statement I. Lithium has Z = 3, so Li⁺ has 3 - 1 = 2 electrons. With two electrons, the electron–electron repulsion is not part of Bohr's model, so it cannot account for the spectrum of Li⁺. Statement I is false.
- Statement II. In a magnetic field, spectral lines split into several closely spaced lines. This is the Zeeman effect. Bohr's model has only one quantum number n for each orbit, so it cannot explain this splitting. Statement II is true.
- So. Statement I is false and Statement II is true, which is option (a).
The idea to keep. Bohr's model is for one-electron species only: H, He⁺, Li²⁺, Be³⁺. It also fails for the Zeeman (magnetic) and Stark (electric) splitting of lines.
Answer from the NTA final answer key. Solution by PrepWiser.