Which of the following graphs is correct for the kinetic energy $(K.E.)$ of an electron in the $n^{th}$ orbit of a hydrogen-like atom?

Which of the following statements is $CORRECT$ :
$(I)$ Where orbitals are available in degenerate sets,maximum spin multiplicity is observed.
$(II)$ Where two electrons occupy the same shell,they may have same spins.
$(III)$ All noble gases do not have the same valence shell electronic configuration.

Given below are two statements:
Statement $I$: Rutherford's gold foil experiment cannot explain the line spectrum of hydrogen atom.
Statement $II$: Bohr's model of hydrogen atom contradicts Heisenberg's uncertainty principle.
In the light of the above statements,choose the most appropriate answer from the options given below:

The shape of the probability distribution curve for the $2s$ orbital is .........

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:

Match the items in Column-$A$ with the items in Column-$B$.

Column-$A$	Column-$B$
$(1)$ Dalton	$(A)$ Photoelectric effect
$(2)$ Maxwell	$(B)$ Wave theory
$(3)$ Huygens	$(C)$ Atomic theory
	$(D)$ Electromagnetic radiation