Match the equations given in List-$I$ with their names in List-$II$.

List-$I$	List-$II$
$(1)$ $\Delta x \cdot \Delta p \ge \frac{h}{4\pi}$	$(A)$ De Broglie equation
$(2)$ $mvr \ge \frac{nh}{2\pi}$	$(B)$ Uncertainty principle
$(3)$ $\lambda = \frac{h}{\sqrt{2m(KE)}}$	$(C)$ Frequency equation of $H$-spectrum
$(4)$ $\nu = 3.29 \times 10^{15} \left( \frac{1}{n_i^2} - \frac{1}{n_f^2} \right)$	$(D)$ Angular momentum is quantized

When the excited electron of a $H$ atom from $n=5$ drops to the ground state,the maximum number of emission lines observed are $.......$

Which of the following statement$(s)$ is (are) correct?

If the wavelength for an electron emitted from $H$ atom is $3.3 \times 10^{-10} \ m$,then energy absorbed by the electron in its ground state compared to minimum energy required for its escape from the atom,is $.......$ times. (Nearest integer).
[Given $: h = 6.626 \times 10^{-34} \ Js$,Mass of electron $= 9.1 \times 10^{-31} \ kg$ ]

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:

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.