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Select the correct statements from the following:
$A$. Atoms of all elements are composed of two fundamental particles.
$B$. The mass of the electron is $9.10939 \times 10^{-31} \ kg$.
$C$. All the isotopes of a given element show same chemical properties.
$D$. Protons and electrons are collectively known as nucleons.
$E$. Dalton's atomic theory regarded the atom as an ultimate particle of matter.
Choose the correct answer from the options given below:

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:

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 $H$ atom,an orbit has a diameter of about $16.92 \ \mathring{A}$. What is the maximum number of electrons that can be accommodated in this orbit?

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$. $-54.4 \text{ eV}$

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