MCQEasyJEE 2025Bohr Model & Hydrogen Spectrum

JEE Chemistry 2025 Question with Solution

Which of the following postulate of Bohr's model of hydrogen atom in not in agreement with quantum mechanical model of an atom ?

  • A

    An atom in a stationary state does not emit electromagnetic radiation as long as it stays in the same state

  • B

    An atom can take only certain distinct energies E1E_1, E2E_2, E3E_3, etc. These allowed states of constant energy are called the stationary states of atom

  • C

    When an electron makes a transition from a higher energy stationary state to a lower energy stationary state, then it emits a photon of light

  • D

    The electron in a HH atom's stationary state moves in a circle around the nucleus

Answer

Correct answer:D

Step-by-step solution

Standard Method

Given: The question asks which postulate of Bohr's model is not in agreement with the quantum mechanical model of the atom.

Find: The incorrect postulate with respect to the quantum mechanical model.

Bohr's model states that electrons can exist in stationary states, have quantized energies, and emit or absorb radiation only during transitions. These ideas remain consistent with the quantum mechanical description of discrete energy levels and transitions.

The conflicting postulate is the statement that the electron moves in a fixed circular orbit around the nucleus. In the quantum mechanical model, the electron is described by a wave function ψ\psi and occupies an orbital, which is a probability distribution, not a definite circular path.

The Heisenberg Uncertainty Principle rules out a precise classical trajectory for the electron. Therefore, the statement about circular motion is not in agreement with the quantum mechanical model.

The correct option is D.

Option-by-Option Analysis

Given: Compare Bohr's postulates with the quantum mechanical model.

Find: Which statement is inconsistent.

  1. Option A says that an atom in a stationary state does not emit radiation while remaining in that state. This agrees with the idea of stationary states in quantum mechanics.

  2. Option B says that only certain distinct energies E1,E2,E3E_1, E_2, E_3 are allowed. This agrees with quantized energy levels obtained from quantum mechanics.

  3. Option C says that a photon is emitted when an electron moves from a higher energy state to a lower energy state. This also agrees with the quantum mechanical explanation of atomic spectra.

  4. Option D says that the electron moves in a circle around the nucleus. This is the Bohr orbit picture, which is not accepted in quantum mechanics. Quantum mechanics replaces fixed orbits by orbitals and probability distributions.

Therefore, the postulate not in agreement with the quantum mechanical model is option D.

Common mistakes

  • Choosing the statement about quantized energy levels as incorrect. This is wrong because quantized energies are retained in quantum mechanics. Distinguish between energy quantization and classical orbit picture.

  • Assuming that all Bohr postulates were completely rejected. This is wrong because some ideas such as stationary states and transitions remain valid in modified form. Identify only the postulate about fixed circular orbits as inconsistent.

  • Confusing orbit with orbital. This is wrong because an orbit is a definite path, while an orbital is a probability distribution obtained from the wave function. Use the quantum mechanical meaning carefully.

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