As an electron makes a transition from an excited state to the ground state of a hydrogen - like atom /ion

Options

A. Its kinetic energy increases but potential energy and total energy decrease
B. Kinetic energy, potential energy and total energy decreases
C. Kinetic energy decreases, potential energy increases, potential energy increases but total energy remains same
D. Kinetic energy and total energy decreases but potential energy increases

Answer

A

Explanation

As K.E. `=1/2 (KZe^(2))/(2r)=(13.6Z^(2))/(n^(2))eV`
`P.E= -(KZe^(2))/(2r)=(-27.2Z^(2))/(n^(2))eV`
`T.E. = - (Kze^(2))/(2r)=-(13.6Z^(2))/(n^(2))eV`
As n decreases, K.E. increases, P.E. decreases and T.E. also decreases.