Match the following items:

$A$. Energy of ground state of $He^+$	$i$. $+6.04 \text{ eV}$
$B$. Potential energy of $I$ orbit of $H$ atom	$ii$. $-27.2 \text{ eV}$
$C$. Kinetic energy of $II$ excited state of $He^+$	$iii$. $8.72 \times 10^{-18} \text{ J}$
$D$. Ionization potential of $He^+$	$iv$. $-54.4 \text{ eV}$

Consider the following:
$I$. The electron spin quantum number describes the orientation of the spin of the nucleus with respect to the magnetic field.
$II$. The orbitals represented by the quantum numbers $n=3, l=2, m=+2$ and $n=3, l=2, m=-2$ have the same energy.
$III$. The energy of a photon is directly proportional to wavelength but inversely proportional to wave number.
$IV$. Lyman series of lines appear in ultra-violet region.
The correct statements are:

Match the items in List-$I$ with the items in List-$II$.

List-$I$	List-$II$
$A$. Nodes	$I$. Three dimensional shape of the orbital
$B$. Subsidiary quantum number	$II$. Significant only for motion of microscopic objects
$C$. White light	$III$. $|\psi|^2$ is zero
$D$. Heisenberg uncertainty principle	$IV$. Spin state of electron
	$V$. Continuous spectrum

Identify the $INCORRECT$ statements from the following:
$A.$ Notation ${}_{12}^{24}Mg$ represents $24$ protons and $12$ neutrons.
$B.$ Wavelength of a radiation of frequency $4.5 \times 10^{15} \ s^{-1}$ is $6.7 \times 10^{-8} \ m$.
$C.$ One radiation has wavelength $\lambda_1 = 900 \ nm$ and energy $E_1$. Other radiation has wavelength $\lambda_2 = 300 \ nm$ and energy $E_2$. $E_1 : E_2 = 3 : 1$.
$D.$ Number of photons of light of wavelength $2000 \ pm$ that provides $1 \ J$ of energy is $1.006 \times 10^{16}$.
Choose the correct answer from the options given below:

In the transition of an electron in an atom,its kinetic energy changes from $y$ to $y/4$. The change in $P.E.$ will be

Which of the following statements is $CORRECT$?