Atomic Structure & Quantum - Chemistry MCQ

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

"Phosphorescence" is represented as:

The following is true of 2p_x, 2p_y and 2p_z orbitals of a H-atom:

The wave function for a quantum mechanical particle in a 1-dimetional box of length ‘a’ is given as . The value of ‘A’ for a box of length 200 nm is:

Which hydrogenic atom ion has the wavelength difference between first line of Balmer and Lymen Series equal to 59.3 nm? (R_H = 109678 cm^–1).

dz² orbital has:

The commutator [X³, p_x] is equal to:

Which of the following is true for the radial part of the H atom wave function R_{n, l}(r) (n-principal quantum number and l-azimuthal quantum number) and the nodes associated with them:

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

The value of the commutation of 

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:

Consider the following statements: (I) Electron density in the XY plane in 3d _{x² -y²} orbital is zero (II) Electron density in the XY plane in 3d_z2 orbital is zero (III) 2s orbital has one nodal surface (IV) For 2p_z orbital, YZ is the nodal plane, Which are the correct statements

At room temperature, which molecule has maximum rotational entropy?

In IR spectrum of [Co(CN)₅H]^3–, the Co—H stretching is observed at 1840 cm^–1. The Co—D stretch in [Co(CN)₅D]^3– will appear at nearly:

In 400 MHz ¹H MNR spectrum of an organic compound exhibited a doublet. The two lines of the doublet are at δ = 2.35 and 2.38 ppm. The coupling constant (J) value is:

The spectroscopic technique, by which ground state dissociation energies of diatomic molecules can be estimated is:

For reaction,

The correct observation is:

Which is/are true:

For an electron in a hydrogen atom, the wave function, ψ is proportional to exp(-r/a₀), where a₀ is the Bohr’s radius. What is the ratio of the probability of finding the electron at the nucleus to the probability of finding it at a0:

Which one of the following is an acceptable wave function for an electron in the hydrogen atom? (r, θ, φ) denote the spherical polar co-ordinates and N is a suitable constant which you are allowed to choose suitably: 

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

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:

Vibrations of a diatomic molecule are usually modelled by a harmonic potential. If the potential is given by X², the correct statement is:

¹H NMR spectrum of an organic compound recorded on a 500 MHz spectrometer showed a quartet with line positions at 1759, 1753, 1747, 1741 Hz. Chemical shift (s) and coupling constant (Hz) of the quartet are:

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

The inters bond at 15000 cm^–1 in UV visible spectrum of [Bu₄N]₂ Re₂Cl₈ is due to transition:

The ¹H NMR frequency at 1.07 T is 42.4 MHz. If gyromagnetic ratio of ¹H and ¹³C are 2.7 × 10⁷ and 6.75 × 10⁷ T^–1 S^–1, respectively, what will be the ¹³C frequency at 1.07 T:?