Question:

The orbital magnetic dipole moment of an electron in hydrogen-like atom is 2μB \sqrt{2} \mu_B . What is the state of the electron?

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Magnetic dipole moment depends on the orbital angular momentum quantum number.
Updated On: Mar 26, 2025
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The Correct Option is C

Solution and Explanation

The orbital magnetic dipole moment is given by:
μL=l(l+1)μB \mu_L = \sqrt{l(l+1)} \mu_B For μL=2μB \mu_L = \sqrt{2} \mu_B :
l(l+1)=2 \sqrt{l(l+1)} = \sqrt{2} Solving for l l , we get l=2 l = 2 , which corresponds to the D-state.
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