JEE Main 2023 — Structure Of Atom Question with Solution
From: JEE Main 2023 (Online) 15th April Morning Shift
Question
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:
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:
Choose an option
Show full solutionCorrect option: C
Correct answer
CBoth Statement I and Statement II are correct
Step-by-step explanation
Both Statement I and Statement II are correct
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:
where n is an integer (quantum number), and h is the Planck's constant.
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.
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:
where n is an integer (quantum number), and h is the Planck's constant.
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.
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