Question

The angular momentum of the electron in the second orbit of hydrogen atom is L. The angular momentum in the third orbit is ______.

Options

• L

• 3L

• `3/2`L

• `2/3`L

Answer 1

The angular momentum of the electron in the second orbit of hydrogen atom is L. The angular momentum in the third orbit is `underlinebb(3/2"L")`.

Explanation:

Angular momentum = `"nh"/(2pi)`

Thus, for an electron in the 2^nd orbit,

L = `"nh"/(2pi)="h"/pi`

For an electron in the 3^rd orbit

L = `(3"h")/(2pi)`

L = `3/2`L