Question

Linear momentum of an electron in Bohr orbit of H-atom (principal quantum number n) is proportional to ______.

Options

• `1/n`

• `1/n^2`

• n

• `n^2`

Answer 1

Linear momentum of an electron in Bohr orbit of H-atom (principal quantum number n) is proportional to `bbunderline(1/n)`.

Explanation:

Linear momentum, p = mv

Velocity of electron in Bohr's orbit is given as

`"v"=e^2/(2epsilon_0"nh")`

`therefore"mv"=e^2/(2epsilon_0"nh")`

`rArr"p"=(me^2)/(2epsilon_0"nh")`

`rArr"p"prop1/"n"`