Quantum mechanical model; orbitals, quantum numbers and orbital shapes — practice questions

Question 1 · difficulty L2 · understanding

The maximum number of orbitals which can be identified with $$\mathrm{n}=4$$ and $$m_l=0$$ is _________.

Question 2 · difficulty L2 · understanding

The orbital angular momentum of an electron in $$3 \mathrm{~s}$$ orbital is $$\frac{x h}{2 \pi}$$. The value of $$x$$ is ____________ (nearest integer)

Question 3 · difficulty L2 · understanding

The wavelength of an electron of kinetic energy $$4.50\times10^{-29}$$ J is _________ $$\times 10^{-5}$$ m. (Nearest integer) Given : mass of electron is $$9\times10^{-31}$$ kg, h $$=6.6\times10^{-34}$$ J s

Question 4 · difficulty L2 · understanding

The energy of one mole of photons of radiation of frequency $$2 \times 10^{12} \mathrm{~Hz}$$ in $$\mathrm{J} ~\mathrm{mol}^{-1}$$ is ___________. (Nearest integer) [Given : $$\mathrm{h}=6.626 \times 10^{-34} ~\mathrm{Js}$$ $$\mathrm{N}_{\mathrm{A}}=6.022 \times 10^{23} \mathrm{~mol}^{-1}$$]

Question 5 · difficulty L2 · understanding

The number of given orbitals which have electron density along the axis is _________ $$\mathrm{p_x,p_y,p_z,d_{xy},d_{yz},d_{xz},d_{z^2},d_{x^2-y^2}}$$

Question 6 · difficulty L2 · understanding

Consider the following set of quantum numbers. n 1 m$$_1$$ A. 3 3 $$-$$3 B. 3 2 $$-$$2 C. 2 1 +1 D. 2 2 +2 The number of correct sets of quantum numbers is __________.

Question 7 · difficulty L2 · understanding

The Azimuthal quantum number for the valence electrons of Ga + ion is ___________. (Atomic number of Ga = 31)

Question 8 · difficulty L2 · understanding

A certain orbital has n = 4 and m L = $$-$$3. The number of radial nodes in this orbital is ____________. (Round off to the Nearest Integer).

Question 9 · difficulty L2 · understanding

The number of orbitals with n = 5, m 1 = +2 is ___________. (Round off to the Nearest Integer).

Question 10 · difficulty L2 · understanding

Arrange the following atomic orbitals of multi electron atoms in order of increasing energy. A. $n=3, l=2, m=+1$ B. $n=4, l=0, m=0$ C. $n=6, l=1, m=0$ D. $n=5, l=1, m=+1$ E. $n=2, l=1, m=+1$ Choose the correct answer from the options given below:

• A. $\mathrm{C}<\mathrm{D}<\mathrm{B}<\mathrm{A}<\mathrm{E}$
• B. $\mathrm{B}<\mathrm{A}<\mathrm{E}<\mathrm{C}<\mathrm{D}$
• C. $\mathrm{E}<\mathrm{C}<\mathrm{D}<\mathrm{B}<\mathrm{A}$
• D. $$\mathrm{E}<\mathrm{B}<\mathrm{A}<\mathrm{D}<\mathrm{C}$$