Question

Which of the following relations do not represent the correct relation of the potential energy of an electron in the $n^{th}$ shell of an hydrogen atom?

• A. $P.E.\left(n\right)=2\times \text{total energy of}{n}^{th}\text{shell}$
• B. $\text{Total Energy (n) = -K.E. (where K.E. is kinetic energy of electron in}{n}^{th}\text{shell})$
• C. $P.E.\left(n\right)=-\frac{K{e}^2}{r_n^2}\text{(Where K is Coulomb constant and}{r}_n\text{= radius of}{n}^{th}\text{shell)}$
• D. $P.E.\left(n\right)=\frac{-27.2}{n^2}eV$

Answer 1

The correct option is C $P.E.\left(n\right)=-\frac{K{e}^2}{r_n^2}\text{(Where K is Coulomb constant and}{r}_n\text{= radius of}{n}^{th}\text{shell)}$

The incorrect relation is $P.E.\left(n\right)=-\frac{K{e}^2}{r_n^2}$
Because the actual relation is $P.E.\left(n\right)=-\frac{K{e}^2}{r_n}$