Question

Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following, List-I contains some quantities for the $n^{th}$ orbit of the atom and List-II contains options showing how they depend on n.

$\begin{array}{cccc}& \text{List-I}& & \text{List-II}\\ \text{(I)}& \text{Radius of the}{n}^{th}\text{orbit}& \text{(P)}& \propto n^{-2}\\ \text{(II)}& \text{Angular momentum of the electron in the}{n}^{th}\text{orbit}& \text{(Q)}& \propto n^{-1}\\ \text{(III)}& \text{Kinetic energy of the electron in the}{n}^{th}\text{orbit}& \text{(R)}& \propto n^0\\ \text{(IV)}& \text{Potential energy of the electron in the}{n}^{th}\text{orbit}& \text{(S)}& \infty n^1\\ & & \text{(T)}& \propto n^2\\ & & \text{(U)}& \propto n^{\frac{1}{2}}\end{array}$

Which of the following options has the correct combination considering List-I and List-II ?

• A. (III), (P)
• B. (IV), (U)
• C. (III), (S)
• D. (IV), (Q)

Answer 1

The correct option is A (III), (P)

$K.E=\frac{13.6Z^2}{n^2}eV/atom$

$P.E=\frac{-2\times 13.6Z^2}{n^2}eV/atom$