TS EAMCET · Chemistry · Structure of Atom

The orbital angular momentum of an electron in $d$ orbital is equal to

A $0$
B $2 \sqrt{3} ℏ$
C $6 ℏ$
D $\sqrt{6} ℏ$

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Answer & Solution

Correct Answer

(D) $\sqrt{6} ℏ$

Step-by-step Solution

Detailed explanation

A property of an electron's rotational motion which is related to the shape of its orbital is the Orbital Angular Momentum The orbital angular momentum is (L) =ll+1h2π where, l=azimuthal quantum number h=planck's constant Orbital angular momentum for d electron is…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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The orbital angular momentum of an electron in d orbital is equal to

Step-by-step Solution

The orbital angular momentum of an electron in $d$ orbital is equal to