The angular momentum of an electron in the hydrogen atom is `(3h)/(2pi)` Here. h is Planck's constant. The kinetic energy of this electron is

Options

A. 4.35 eV
B. 1.51 eV
C. 3.4 eV
D. 6.8 eV

Answer

B

Explanation

`(3h)/(2pi)=n((h)/(2pi))` or `mv=(nh)/(2pir)`
Now, `r prop n^(2) therefore mv=p prop (nh)/(2pir)`
`p prop (h)/(2pin) or p prop (1)/(n)`
Energy, `E prop (1)/(n^(2))`