Atomic Structure, Quantum Chemistry & Physical Spectroscopy - IIT JAM MCQ

The ionization energy of H atom in its ground state is approximately 13.6 eV. The potential energy of He⁺, in its ground state is approximately:

In NMR spectroscopy, the product of the nuclear ‘g’ factor (g_N), the nuclear magneton β_N and the magnetic field strength (B₀) gives the:

In the Bohr’s model of hydrogen-like atom the force between the nucleus and the electron is modified as   where β is a constant. For this atom, the radius of the n^th orbit in terms of the Bohr radius   is:

In H-atom, if ‘x’ the radius of this Bohr-orbit, de Broglie wavelength of an e^– in 3^rd orbit is:

The most populated rotational state for HCl (B = 8.5 cm^–1) at 300 K is:

The rotational Raman spectrum of ¹⁹F₂ shows a series of stokes lines at 19230.769 cm^–1, 19227.238 cm^–1 and 19223.707 cm^–1. The rotational constant for ¹⁹F, in GHz is:

The molecule with the smallest rotational constant (in the microwave spectrum) among the following is:

Which of the following radial distribution graphs correspond to l = 2 for H atom for the least value of ‘n’ which l = 2 is allowed?

A plot of the kinetic energy (1/2)(mu²) of ejected electrons as a function of the frequency  of incident radiation for four alkali metals (M₁, M₂, M₃, M₄) is given below:

The alkali metals M₁, M₂, M₃, M₄ are respectively:

The frequency of certain line of the Lyman series of the atomic spectrum of hydrogen satisfies the following conditions:

(I) It is the sum of frequencies of another Lyman line and a Balmer line

(II) It is the sum of frequencies of a certain Lyman line, a Balmer line and a Paschen line.

(III) It is the sum of the frequencies of a Lyman line, and a Paschen line but no Brackett line.

      To what transition does ν correspond?

Which of the following graphs of radial part of wave function (ψ) versus distance from nucleus is not correctly labeled?

The variation of de-Broglie wavelength (l) with the potential (λ) which an electron is accelerated from rest is represented by which one of the following?

In the vibrational spectrum of CO₂, the number of fundamental vibrational modes common in both infrared and Raman are:

The difference between n^th and (n + 1)^th Bohr’s radius of H atom is equal to its (n –1)^th Bohr’s radius the value of n is:

The electronic configuration of ₄₆Pd is:

IE₁ for ₁H² and IE₁ for ₁H¹ are related as:

The electron in the H-atom undergoes transition from higher orbitals to orbital of radius 211.6 pm. This transition is associated with:

If the shortest wavelength in Lyman series of H-atom is A, then the longest wavelength in Paschen series of He⁺ is:

A hydrogen atom makes a transition from n = 2 to n = 1 and emits a photon this strikes a doubly ionized lithium atom in excited state and completely removes the orbiting electron. The least quantum number for the excited state of the ion for the process is:

Which of the following pairs can form correct set of isosters ?

The maximum velocity of the photoelectrons emitted from the surface is v when light of frequency is falls on a meal surface. If the incident frequency is increased to 3n, the maximum velocity of the ejected photoelectrons will be:

De-Broglie wavelength of an electron accelerated by a voltage of 50 V is close to
(1 eV = 1.6 × 10^–19 J, m_e = 9.1 × 10^–31 kg, h = 6.6 × 10^–34 Js):

If the principal quantum number n = 6, the correct sequence of filling of electrons will be:

Ionization energy of gaseous Na atoms is 495.5 kJ mol^–1. The lowest possible frequency of light that ionizes a sodium atom is (h = 6.626 × 10^–34 Js, N_A = 6.022 × 10²³ mol^–1)

Which of the following spectroscopic techniques will be useful to distinguish between M-SCN and
M-NCS binding modes?

In which of the following molecular properties the energy is not quantized:

The radii of maximum probability for 3s, 3p and 3d electrons are in the order: