Medium MCQ +4 / -1 PYQ · JEE Mains 2023

Given below are two statements:

Statement I : According to Bohr's model of hydrogen atom, the angular momentum of an electron in a given stationary state is quantised.

Statement II : The concept of electron in Bohr's orbit, violates the Heisenberg uncertainty principle.

In the light of the above statements, choose the most appropriate answer from the options given below:

  1. A Both Statement I and Statement II are incorrect
  2. B Statement I is correct but Statement II is incorrect
  3. C Both Statement I and Statement II are correct Correct answer
  4. D Statement I is incorrect but Statement II is correct

Solution

Both Statement I and Statement II are correct <br/><br/> Statement I is correct. According to Bohr's model of the hydrogen atom, the angular momentum of an electron in a given stationary state is quantized. The angular momentum of an electron in the nth orbit is given by: <br/><br/> $L = n\hbar = n \frac{h}{2\pi}$ <br/><br/> where n is an integer (quantum number), and h is the Planck's constant. <br/><br/> Statement II is also correct. Bohr's model does not consider the Heisenberg uncertainty principle, which states that it is impossible to know the exact position and momentum of an electron simultaneously. In Bohr's model, electrons are assumed to move in well-defined orbits with quantized angular momentum, which implies knowledge of both position and momentum, thus violating the Heisenberg uncertainty principle.

About this question

Subject: Chemistry · Chapter: Atomic Structure · Topic: Bohr's Model

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