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 :

  1. (a) Statement I is false but statement II is true.
  2. (b) Both statement I and statement II are true.
  3. (c) Statement I is true but statement II is false.
  4. (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.

  1. 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⁺.
  2. 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.
  3. 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.
  4. 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.

Study Atomic Structure

Asked about 170 times in JEE Main since 2020. This question is from 2021.