Quantum numbers, orbitals, nodes, electronic configuration

55 questions on Quantum numbers, orbitals, nodes, electronic configuration from the Atomic Structure chapter: 12 NEET level, 21 JEE Main, 22 JEE Advanced. Each one opens with its answer and solution.

• For the principal quantum number n = 3, the allowed values of the azimuthal quantum number l are NEET level
• The total number of orbitals in the shell with n = 4 is NEET level
• The number of angular (nodal planes or cones) nodes in a 3p orbital is NEET level
• The number of radial nodes in a 3s orbital is NEET level
• Which set of quantum numbers (n, l, m_l) is NOT permissible for an electron? NEET level
• The magnitude of orbital angular momentum of an electron in a d orbital is NEET level
• The maximum number of electrons in an atom that can have n = 4 and m_l = +2 is JEE Main level
• An orbital has 2 radial nodes and 1 angular node. It is JEE Main level
• An electron sits in an orbital with n=4 and two radial nodes. Its orbital angular momentum is JEE Main level
• Which set (n, l, m_l, m_s) can describe an electron in a 3d orbital? JEE Main level
• An electron has orbital angular momentum sqrt12 hbar and n=5. The number of radial nodes in its orbital is JEE Main level
• Find the total number of radial nodes summed over all the orbitals of the n=4 shell, counting each orbital separately. JEE Main level
• What is the maximum number of electrons in an atom that can occupy orbitals having n + l = 5? JEE Main level
• Find the magnitude of the orbital angular momentum of an electron in a d orbital in units of 10^-34 J s, to two decimals. Use h = 6.626x10^-34 J s and pi = 3.14... JEE Main level
• Select the correct statements about atomic orbital shapes and nodes. JEE Main level
• Which of the following sets of (n, l, m_l) are permissible? JEE Main level
• Which of the following orbitals have exactly one radial node? JEE Main level
• An orbital has a total of 4 nodes (radial plus angular) and its electron has orbital angular momentum sqrt6 hbar. The number of radial nodes is JEE Advanced level
• The orbital of an electron has 3 radial nodes and orbital angular momentum sqrt20 hbar. The maximum number of electrons that can be accommodated in the correspo... JEE Advanced level
• In the n=5 shell, the number of orbitals that have at least one angular node AND at least one radial node is JEE Advanced level
• Assertion (A): A 3p orbital has one radial node, whereas a 2p orbital has none. Reason (R): the number of radial nodes equals n - l - 1. Choose the correct opti... JEE Advanced level
• Which pair of orbitals has the SAME number of radial nodes and an orbital-angular-momentum ratio L_1/L_2 = sqrt3 (first orbital named first)? JEE Advanced level
• Considering all shells with n le 5, how many orbitals have exactly 2 angular nodes and at least one radial node? JEE Advanced level
• An electron has orbital angular momentum sqrt12 hbar and its orbital has 3 radial nodes. Find nx(number of orbitals in that subshell). JEE Advanced level
• For an electron in a d orbital with m_l = +2, find the angle (in degrees, two decimals) between the orbital angular momentum vector and the z axis, using costhe... JEE Advanced level
• Select the correct statements about a 4f orbital. JEE Advanced level
• An orbital has n=5 and 2 radial nodes. Select the correct statements. JEE Advanced level
• The 5d orbital has orbital angular momentum sqrt6 hbar and 2 radial nodes. Which of the following orbitals have the same orbital angular momentum but strictly f... JEE Advanced level
• The ground-state electronic configuration of chromium (Z=24) is NEET level
• The number of unpaired electrons in the Fe^3+ ion (Z=26) in its ground state is NEET level
• The principle that no two electrons in an atom can have the same set of all four quantum numbers is called NEET level
• For the nitrogen atom (Z=7) the correct distribution of the three 2p electrons in the ground state is NEET level
• The ground-state electronic configuration of copper (Z=29) is NEET level
• The spin-only magnetic moment of Mn^2+ (Z=25), in Bohr magnetons, is NEET level
• An ion of a 3d-series element has a spin-only magnetic moment of 3.87 BM. Which ion could it be? JEE Main level
• Counting the exchanges possible among electrons of parallel spin (in the ground state, each distinct pair of same-spin electrons counts as one exchange), the nu... JEE Main level
• Among the following ground-state atoms, the one with the largest number of unpaired electrons is JEE Main level
• Which of the following ground-state configurations is correct? JEE Main level
• The total number of electrons occupying s orbitals in a chromium atom (Z=24) in its ground state is JEE Main level
• Using the spin-only formula, the magnetic moment of Ni^2+ (Z=28) in Bohr magnetons, to two decimal places, is JEE Main level
• The total spin quantum number S of an atom is half the number of unpaired electrons. The magnitude of the total spin angular momentum is sqrtS(S+1) hbar. For a ... JEE Main level
• The total number of p-electrons (electrons with l=1) in a ground-state zinc atom (Z=30) is JEE Main level
• Find the total number of unpaired electrons present in the ground-state atoms of Ti, V, Cr, Mn, Fe and Co taken together (Z=22 to 27). JEE Main level
• Which of the following ground-state electronic configurations are correct? JEE Main level
• Count one exchange for each pair of same-spin electrons among the valence (3d and 4s) electrons. By how many exchanges does the actual ground state of Cr (3d^54... JEE Advanced level
• The ratio of the spin-only magnetic moment of Cr^2+ ion to that of a neutral Cr atom (both in ground state) is closest to JEE Advanced level
• A 3d-series metal M forms an ion M^3+ with spin-only magnetic moment 5.92 BM. The number of unpaired electrons in the neutral ground-state atom M is JEE Advanced level
• Among Fe, Mn^3+, Cr^2+, Ni and Co^2+ (all in ground state), the number of species having exactly the same number of unpaired electrons as Fe^2+ is JEE Advanced level
• Spin-only magnetic moment is mu=sqrtn(n+2) BM. Find the sum of the values of mu^2 (that is, n(n+2) for each ion) for Cr^3+, Mn^2+, Fe^3+ and Ni^2+ in their grou... JEE Advanced level
• Find the number of orbitals that contain at least one electron (singly or doubly occupied) in a ground-state molybdenum atom (Z=42). JEE Advanced level
• 8.4 g of Fe^2+ ions (take molar mass 56 g mol^-1 and N_A=6.022x10^23) is considered. The total number of unpaired electrons in the sample, in units of 10^23, to... JEE Advanced level
• Count exchanges as the number of pairs of electrons with the same spin within the d subshell in its maximum-multiplicity arrangement. Which statements are corre... JEE Advanced level
• Which of the following ground-state species have a spin-only magnetic moment between 4.5 and 6.0 BM? JEE Advanced level
• Consider the electronic states of a carbon atom (Z=6). Which statements are correct? JEE Advanced level
• Which of the following ground-state ions are paramagnetic? JEE Advanced level