Atomic StructureHard

Question

The orbital angular momentum of an electron is $\sqrt{3}\frac{h}{\pi}$. Which of the following may be the permissible value of angular momentum of this electron revolving in unknown Bohr's orbit?

Options

A.$\frac{h}{\pi}$
B.$\frac{h}{2\pi}$
C.$\frac{3h}{2\pi}$
D.$\frac{2h}{\pi}$

Solution

$\sqrt{l(l + 1)}.\frac{h}{2\pi} = \sqrt{3}.\frac{h}{\pi} \Rightarrow l = 3 \Rightarrow n \geq 4$

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