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This mock test of Atomic Structure & Quantum for Chemistry helps you for every Chemistry entrance exam.
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QUESTION: 1

The vibrational energy levels, v^{11} = 0 and v^{1} = 1 of a diatomic molecule are separated by 2143 cm^{-1}. Its Anharmonicity (ω_{e} X_{e} ) is 14 cm^{-1}. The values of ω_{e} (in cm^{-1}) and first overtone (cm^{-1}) of this molecules are respectively.

Solution:

QUESTION: 2

The bond that gives the most intense band in the infrared spectrum for its stretching vibration is:

Solution:

QUESTION: 3

In NMR spectroscopy, the product of the nuclear ‘g’ factor (g_{N}), the Nuclear Magneton βN and the magnetic field strength (B_{0)} gives the:

Solution:

QUESTION: 4

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

Solution:

QUESTION: 5

"Phosphorescence" is represented as:

Solution:

QUESTION: 6

The following is true of 2p_{x}, 2p_{y }and 2p_{z }orbitals of a H-atom:

Solution:

QUESTION: 7

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:

Solution:

QUESTION: 8

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}).

Solution:

QUESTION: 9

dz^{2} orbital has:

Solution:

QUESTION: 10

The commutator [X^{3}, p_{x}] is equal to:

Solution:

QUESTION: 11

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:

Solution:

QUESTION: 12

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?

Solution:

QUESTION: 13

The value of the commutation of

Solution:

QUESTION: 14

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:

Solution:

QUESTION: 15

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

Solution:

QUESTION: 16

At room temperature, which molecule has maximum rotational entropy?

Solution:

QUESTION: 17

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

Solution:

QUESTION: 18

In 400 MHz ^{1}H 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:

Solution:

QUESTION: 19

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

Solution:

QUESTION: 20

For reaction,

The correct observation is:

Solution:

QUESTION: 21

Which is/are true:

Solution:

QUESTION: 22

For an electron in a hydrogen atom, the wave function, ψ is proportional to exp(-r/a_{0}), where a_{0} 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:

Solution:

QUESTION: 23

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:

Solution:

QUESTION: 24

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

Solution:

QUESTION: 25

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:

Solution:

QUESTION: 26

Vibrations of a diatomic molecule are usually modelled by a harmonic potential. If the potential is given by X^{2}, the correct statement is:

Solution:

QUESTION: 27

^{1}H 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:

Solution:

QUESTION: 28

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

Solution:

QUESTION: 29

The inters bond at 15000 cm^{–1} in UV visible spectrum of [Bu_{4}N]_{2} Re_{2}Cl_{8} is due to transition:

Solution:

QUESTION: 30

The ^{1}H NMR frequency at 1.07 T is 42.4 MHz. If gyromagnetic ratio of ^{1}H and ^{13}C are 2.7 × 10^{7} and 6.75 × 10^{7} T^{–1} S^{–1}, respectively, what will be the ^{13}C frequency at 1.07 T:?

Solution:

*Multiple options can be correct

QUESTION: 31

Which of the molecule(s) has/have a pure rotational spectrum:

Solution:

*Multiple options can be correct

QUESTION: 32

Which of the molecule(s) is/are infrared active:

Solution:

*Multiple options can be correct

QUESTION: 33

The set of allowed electronic transition among following is:

Solution:

*Multiple options can be correct

QUESTION: 34

Which is the following statement is/are wrong:

Solution:

*Multiple options can be correct

QUESTION: 35

Choose the correct statements among the following:

Solution:

*Multiple options can be correct

QUESTION: 36

The linear momentum of a particle describe by the wavefunction ψ(x) = Ae^{ikx }+ Be^{-ikx}; then which of the following statement(s) is/are correct:

Solution:

*Multiple options can be correct

QUESTION: 37

Which of the following graph(s) for wave function is/are unacceptable:

Solution:

*Multiple options can be correct

QUESTION: 38

Which of the following statements is/are correct?

Solution:

*Multiple options can be correct

QUESTION: 39

According to Bohr’s theory, the angular momentum of electron can have the value(s):

Solution:

*Multiple options can be correct

QUESTION: 40

Which of the following vibrational mode(s) is/are IR active:

Solution:

*Answer can only contain numeric values

QUESTION: 41

In an atom, the total number of electrons having quantum numbers n = 4, |M_{l}| = 1 and m_{s} = –1/2 is:

Solution:

*Answer can only contain numeric values

QUESTION: 42

A higher energy wave function of the electron in a nanotube is described by the normalized wave function (2/L)^{1/2}sin(2πx/L). What is the percentage probability of finding the electron between x = L/4 and x = L/2?

Solution:

*Answer can only contain numeric values

QUESTION: 43

Calculate the average value of radius (rounded up to two places, in Å) ‘r’ in 1s state of H-atom

described by wave function

Solution:

*Answer can only contain numeric values

QUESTION: 44

What would be degeneracy of H-atom corresponding to n = 4?

Solution:

*Answer can only contain numeric values

QUESTION: 45

The total number of orbitals associated with the principal quantum number 5 would be?

Solution:

*Answer can only contain numeric values

QUESTION: 46

The molar extinction coefficient of B (MW = 180) is 4 × 10^{3} L mol^{–1 }cm^{–1}. One litre solution of C which contains 0.1358 g pharmaceutical preparations of B, shows an absorbance of 0.411 in a 1 cm quartz cell. The percentage (w/w) of B in pharmaceutical preparation is [rounded up to two decimal places]:

Solution:

*Answer can only contain numeric values

QUESTION: 47

The following data were obtained from vibrational fine structure in the vibronic spectrum of a diatomic Molecule: We = 512 cm–1, WeXe = 8 cm–1 Where We = energy associated with natural frequency of vibration Xe = Anharmonicity constant The dissociation energy (Dc) of molecule is (cm–

Solution:

*Answer can only contain numeric values

QUESTION: 48

Number of rotational symmetry axes for triclinic crystal system is:

Solution:

*Answer can only contain numeric values

QUESTION: 49

The nuclear g-factor of ^{1}H and ^{14}N are 5.6 and 0.40 respectively. If the magnetic field in an NMR spectrometer is set such that the proton resonates at 700 MHz, the^{ 14}N nucleus would resonate at (MHz)? [rounded up to first decimal place]

Solution:

*Answer can only contain numeric values

QUESTION: 50

Methylcyclohexane molecules may exist in one of the two conformation with the methyl group in either equatorial or axial position. The equatorial form is lower in energy with the axial form by 6kJ/mol. At a temp of 300 K, this difference in energy implies that relative population of molecules in axial and equatorial state is? [R = 8.314JK^{-1}mol^{-1} rounded up to three decimal place]

Solution:

*Answer can only contain numeric values

QUESTION: 51

Calculate the most probable radius at which an electron will be found when it occupies a 1s orbital of a Ne^{9+ }(in pm, rounded up to two decimal place):

Solution:

*Answer can only contain numeric values

QUESTION: 52

Evaluate the root mean square distance, (r^{2})^{1/2 }of the electron from the nucleus in the hydrogen

atom described by the wave function [in pm rounded up to two decimal place]

Solution:

*Answer can only contain numeric values

QUESTION: 53

Ground state energy of H-atom is –13.598 eV. The expectation value of Potential energy (in eV) would be? [rounded up to two decimal place]

Solution:

*Answer can only contain numeric values

QUESTION: 54

What would be the degeneracy of 5^{th} energy level in 3D box of length ‘L’?

Solution:

*Answer can only contain numeric values

QUESTION: 55

What would be the 3^{rd} radii (Å) of Be^{+3}? [rounded up to two decimal place]

Solution:

*Answer can only contain numeric values

QUESTION: 56

The number of IR active vibrational modes is ammonia is?

Solution:

*Answer can only contain numeric values

QUESTION: 57

Calculate the frequency (in MHz, up to 2 decimal place) at which radiation comes in to resonance with proton (I = ½) spins in a 12 T magnetic field? (Given: γN = 2.675 × 10^{8}T^{–1}s^{–1}) [rounded up to first decimal place]

Solution:

*Answer can only contain numeric values

QUESTION: 58

Absorption spectrum of O_{2} shows a vibrational structure that becomes continuum at 56875 cm^{–1}. At the continuum, it dissociates into one ground state atom (O_{g}) and one excited state atom (O_{e}). The energy difference between O_{e }and O_{g} is 15125 cm^{–1}. The dissociation energy (cm^{–1}) of G.S. O_{2} is:

Solution:

*Answer can only contain numeric values

QUESTION: 59

What is the shift of the resonance from TMS of a group of nuclei with δ = 3.50 and an operating frequency of 350 MHz (in kHz)? [rounded up to two decimal place]

Solution:

*Answer can only contain numeric values

QUESTION: 60

Calculate the relative populations of the J = 1 and J = 0 rotational states of HCl at 25°C? [up to 2 decimal place] (Given: B_{HCl} = 10.591 cm^{–1}) [rounded up to three decimal place]

Solution:

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