Which of these statements about Bohr model applied to hydrogen atom correct?a)hydrogen atom in its ground level has no magnetic moment due to orbital motionb)hydrogen atom in its ground level has magnetic moment due to orbital motionc)hydrogen atom in some orbits radiates electromagnetic wavesd)hydrogen atom in quantized orbits radiates electromagnetic wavesCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

A hydrogen atom has magnetic properties because the motion of the electron acts as a current loop. The energy levels of a hydrogen atom associated with orbital angular momentum are split by an external magnetic field because the orbital angular magnetic moment interacts with the field.

Answer

Statement: Hydrogen atom in its ground level has a magnetic moment due to orbital motion.

Explanation:
The Bohr model is a simplified representation of the hydrogen atom proposed by Niels Bohr in 1913. According to this model, electrons in an atom orbit around the nucleus in specific energy levels or shells. The ground state of the hydrogen atom corresponds to the lowest energy level, where the electron is closest to the nucleus.

1. Magnetic Moment due to Orbital Motion:
In the Bohr model, the electron in the hydrogen atom moves in a circular orbit around the nucleus. Any charged particle in motion generates a magnetic field due to its orbital motion. This magnetic field is referred to as the orbital magnetic moment.

The orbital magnetic moment can be calculated using the equation:
μ = (e/2m) * L,
where μ is the magnetic moment, e is the charge of the electron, m is the mass of the electron, and L is the angular momentum of the electron.

Since the electron in the hydrogen atom is in motion, it possesses an angular momentum. Therefore, it also has a magnetic moment due to its orbital motion. This magnetic moment is a fundamental property of the hydrogen atom in its ground level.

2. Absence of Magnetic Moment in Ground Level:
According to option 'A', it is stated that the hydrogen atom in its ground level has no magnetic moment due to orbital motion. This statement is incorrect as the hydrogen atom in its ground level does possess a magnetic moment due to the orbital motion of the electron.

Conclusion:
The correct statement about the Bohr model applied to the hydrogen atom is option 'B'. The hydrogen atom in its ground level has a magnetic moment due to its orbital motion. This magnetic moment is a result of the electron's angular momentum as it orbits around the nucleus.

Answer

Due to the presence of an unpaired electron there is a net magnetic moment as there is no second electron with an opposite moment to cancel out the moment of the first electron

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