The maximum splitting of the 2 P 3 / 2 state of the hydrogen atom due to earth’s magnetic field, having a value of 0.6 gauss is to be stated. Concept Introduction: The change in energy ( Δ E ) of the state depends on the strength of the magnetic field ( B ) and the z-component quantum number ( M L ) in the presence of magnetic field. The expression for the change in energy ( Δ E ) is written below. Δ E = μ B ⋅ M L ⋅ B The value of ( M L ) can be positive, negative or zero. Hence, the change in energy ( Δ E ) can be positive, negative or zero. The change in energy ( Δ E ) of the state is equal to the amount of splitting.

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Chapter 16, Problem 16.10E

Interpretation Introduction

Interpretation:

The maximum splitting of the 2P3/2 state of the hydrogen atom due to earth’s magnetic field, having a value of 0.6 gauss is to be stated.

Concept Introduction:

The change in energy (ΔE) of the state depends on the strength of the magnetic field (B) and the z-component quantum number (ML) in the presence of magnetic field. The expression for the change in energy (ΔE) is written below.

ΔE=μB⋅ML⋅B

The value of (ML) can be positive, negative or zero. Hence, the change in energy (ΔE) can be positive, negative or zero. The change in energy (ΔE) of the state is equal to the amount of splitting.

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