Answer the following by appropriately matching the lists based on the information given in the paragraph 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 $n^{t /}$ orbit of the atom and $List-II$ contains options showing how they depend on $n$.
Which of the following options has the correct combination considering $List-I$ and $List-II$?
| $List-I$ |
$List-II$ |
| $(I)$ Radius of the $n^{\text {th }}$ orbit |
$(P)$ $\propto n ^{-2}$ |
| $(II)$ Angular momentum of the electron in the $n^{\text {th }}$ orbit |
$(Q)$ $\propto n ^{-1}$ |
| $(III)$ Kinetic energy of the electron in the $n^{\text {th }}$ orbit |
$(R)$ $\propto n ^0$ |
| $(IV)$ Potential energy of the electron in the $n^{\text {th }}$ orbit |
$(S)$ $\propto n ^1$ |
| |
$(T)$ $\propto n ^2$ |
| |
$(U)$ $\propto n ^{1 / 2}$ |
($1$) Which of the following options has the correct combination considering $List-I$ and $List-II$?
$(1) (II), (R)$ $(2) (I), (P)$ $(3) (I), (T)$ $(4) (II), (Q)$
($2$) Which of the following options has the correct combination considering $List-I$ and $List-II$?
$(1) (III), (S)$ $(2) (IV), (Q)$ $(3) (IV),(U)$ $(4) (III), (P)$
Give the answer or quetion ($1$) and ($2$)