An electron in ground state of hydrogen has an angular momentum L1 and an electr

Question

An electron in ground state of hydrogen has an angular momentum

L_{1}

and an electron in the first excited state of Lithium has an angular momentum

L_{2}

. Then

Options:

A . L1=L2

B . L1=4L2

C . L1=L22

D . L1=2L2

Answer: Option C
:
C

L = \frac{n h}{2 π}

Hence

L_{1} \propto n_{1}

L_{2} \propto n_{2}

\frac{L_{2}}{L_{1}} = \frac{n_{2}}{n_{1}} = \frac{2}{1}

L_{1} = \frac{L_{2}}{2}

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