If velocity of an electron in Ist orbit of AH atoms is V , what will be the velocity in 3rd orbit of `Li^(2+)` ?

Options

A. V
B. `(V)/(3)`
C. `3V`
D. `9V`

Answer

A

Explanation

`V_(H_2^(o+) = (2pi Ze^(2))/(nh)` or `V prop (Z)/(n)`
`:.`V_(H_2^(o+) = prop 1(Z = 1,n= 1)`
`V_(Li^(2+) = (Z)/(n)oo (3)/(3) prop 1(Z =- 3,,n = 3)`
Therefore velocity of e in the third orboit of an `e^(-)` in the first orbit of H atom i.e. V