Identify the correct statement.

• Quantum numbers (n, l, m, s) are arbitrarily

• All the quantum numbers (n, l, m, s) for any pair of electron in an atom can be identical under special circumstance

• All the quantum numbers (n, l, m, s) may not be required to describe an electron of an atom completely

• All the quantum numbers (n, l, m, s) are required to describe an electron of an atom completely

${}_{11}\mathrm{Na}^{24}$ is radioactive and it decays to 

• ${}_9\mathrm{F}^{20} \mathrm{and} \mathrm{\alpha }- \mathrm{practicle}$

• ${}_{13}\mathrm{Al}^{24} \mathrm{and} \mathrm{positron}$

• ${}_{11}\mathrm{Na}^{23} \mathrm{and} \mathrm{neutron}$

• ${}_{12}\mathrm{Mg}^{24} \mathrm{and} \mathrm{\beta }- \mathrm{parcticles}$

Which one of the following characteristics belongs to an electrophile?

• It is any species having electron deficiency which reacts at an electron rich C-centre

• It is any species having electron enrichment, that reacts at an electron deficient C-centre

• It is cationic in nature

• It is anionic in nature

Which of the following does not represent the mathematical expression for the Heisenberg uncertainty principle?

• $∆\mathrm{x}·∆\mathrm{P}\ge \mathrm{h}/ \left(4\mathrm{\pi }\right)$

• $∆\mathrm{x}·∆\mathrm{\nu }\ge \mathrm{h}/\left(4\mathrm{\pi m}\right)$

• $∆\mathrm{E}·∆\mathrm{t}\ge \mathrm{h}/\left(4\mathrm{\pi }\right)$

• $∆\mathrm{E}·∆\mathrm{x}\ge \mathrm{h}\left(4\mathrm{\pi }\right)$

The energy of an electron in first Bohr orbit of H-atom is -13.6 eV. The possible energy value of electron in the excited state of Li²⁺ is

• -122.4 eV

• 30.6 eV

• -30.6 eV

• 13.6 eV

The representation of the ground state electronic configuration of He by box-diagram as  is wrong because it violates

• Heisenberg's uncertainty principle

• Bohr's quantization theory of angular momenta

• Pauli exclusion principle

• Hund's rule

The electronic transitions from n = 2 to n= 1 will produce shortest wavelength in (where n = principal quantum state)

• Li²⁺ 

• He⁺

• H

• H⁺

In the following electron-dot structure, calculate the formal charge from left to right nitrogen atom; 

• -1, -1, +1

• -1, +1, -1

• +1, -1, -1

• +1, -1, +1

A radioactive atom ${}_{\mathrm{Y}}{}^{\mathrm{X}}$M emits two a particles and one B particle successively. The number of neutrons in the nucleus of the product will be

• X - 4 - Y

• X - Y - 5

• X - Y - 3

• X - Y - 6

300.

For a particular value of azimuthal quantum number, the total number of magnetic quantum number values are given by

• l = $\frac{\mathrm{m} + 1}{2}$

• l = $\frac{\mathrm{m} - 1}{2}$

• l = $\frac{2\mathrm{m} + 1}{2}$

• m = $\frac{2\mathrm{l} + 1}{2}$