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What are the values of the orbital angular momentum of an electron in the orbitals $1 s, 3 s, 3 d$ and $2 p$ ?

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0.0, \sqrt{6} ħ, \sqrt{2 ħ}

1. 1. \sqrt{4} ħ, \sqrt{2} ħ

0, 1, \sqrt{6 h}, \sqrt{3} ħ

0, 0, \sqrt{20} h, \sqrt{6 h}

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detailed solution

Correct option is A

Orbital angular momentum of an electron $= \sqrt{1 (1 + 1)} h$

$1 = 0 ⟹ s$ orbital

For 1s, 3s it is 0

$1 = 1 ⟹ p$ orbital

For 2p it is $\sqrt{2} h$

$1 = 2 ⟹ d$ orbital

For 3d it is $\sqrt{6} h$

$L = \sqrt{l (l + 1)} \cdot \frac{h}{2 π} = \sqrt{l (l + 1)} \cdot ħ$

Hence, the option A is correct.

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What are the values of the orbital angular momentum of an electron in the orbitals 1s,3s,3d and 2p?