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Atomic and Molecular Structure

30 questions · Chemistry · IIT JAM

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IIT JAM
Chemistry
Atomic and Molecular Structure

Atomic and Molecular Structure

30 questions · Chemistry · IIT JAM

An electron at rest is accelerated through 10 kV potential. The de Broglie wavelength (in Å) of the electron is .2025 · Q47 · Numerical
A system having Hamiltonian $\hat{H}$ follows the eigenvalue equation, $\hat{H} Ψ_{n} = E_{n} Ψ_{n}$ , with $E_{n} = (n + \frac{1}{2})$ . If the state of the system is prepared as, $\Psi = N(\Psi_1 + \Psi_2 + \Psi_3 - \Psi_4 -…2025 · Q9 · MCQ
Consider photoelectric effect. The number of incident photons is the same for all frequencies. The plot that best describes the dependence of the number of photoelectrons (n) emitted as a function of the incident light frequency ( $ν$ ) is2024 · Q21 · MCQ
Consider the wavefunction $ψ (x) = N [exp (ik x) + exp (- ik x)]$ . The complex conjugate $ψ^{*} (x)$ is [Given: $N$ is the normalization constant; $i = - 1$ ]2024 · Q4 · MCQ
The magnitude of energy difference between the energy levels $n = 3$ and $n = 2$ of a quantum particle of mass $m$ in a box of length $L$ is $\frac{X h ^{2}}{8 m L ^{2}}$ . Then $X =$ . (rounded off to the nearest integer)…2024 · Q44 · Numerical
The molecule(s) that follow(s) $I_{a} < I_{b} = I_{c}$ ( $I_{a}$ , $I_{b}$ , and $I_{c}$ are the principal moments of inertia) is/are2023 · Q37 · Multiple correct
The highest possible energy of a photon in the emission spectrum of hydrogen atom is eV. [Given: Rydberg constant = 13.61 eV] (round off to two decimal places)2023 · Q46 · Numerical
The following diagram shows the kinetic energy of the ejected photoelectrons against the energy of incident radiation for two metal surfaces M₁ and M₂. If the energy of the incident radiation on M₁ is equal to the work function of M₂, the…2023 · Q57 · Numerical
The system with the lowest zero-point energy when it is confined to a one-dimensional box of length $L$ is2023 · Q7 · MCQ
The ratio of the 2p → 1s transition energy in He $^{+}$ to that in the H atom is closest to2022 · Q24 · MCQ
The potential for a particle in a one-dimensional box is given as: $V (x) = 0$ for $0 \leq x \leq L$ , and $V (x) = \infty$ elsewhere. The locations of the internal nodes of the eigenfunctions $ψ_{n} (x)$ , $n \geq 2$ , are [Given: $m$ is an…2022 · Q28 · MCQ
Total degeneracy (number of microstates) for a Ti^{3+} ion in spherical symmetry is .2022 · Q54 · Numerical
Two sets of quantum numbers with the same number of radial nodes are2021 · Q4 · MCQ
The total number of microstates possible for a $d^{8}$ electronic configuration is2021 · Q42 · Numerical
For the following fusion reaction, $4^{1} H ⟶^{4} He + 2 β^{+} + 2 ν + γ$ the $Q$ -value (energy of the reaction) in MeV (rounded off to one decimal place) is (Given: Mass of $^{1} H$ nucleus…2021 · Q43 · Numerical
$ψ (x, y, z)$ describes the wavefunction of a particle. The probability of finding the particle between $x$ and $x + d x$ , $y$ and $y + d y$ , $z$ and $z + d z$ , can be expressed as2020 · Q32 · Multiple correct
The longest wavelength of light absorbed by a hydrogen-like atom is 2.48 nm. The nuclear charge (Z) of the atom is (Round off to nearest integer) (Rydberg constant $R_{H} = 109700 cm^{- 1}$ )2020 · Q42 · Numerical
The total number of degrees of freedom of an HBr molecule that is constrained to translate along a straight line but does not have any constraints for its rotation and vibration is2019 · Q13 · MCQ
Given that the radius of the first Bohr orbit of hydrogen atom is 53 pm, the radius of its third Bohr orbit is pm. (Round off to the nearest integer)2019 · Q58 · Numerical
Which of the following set(s) of quantum numbers is(are) NOT allowed?2018 · Q39 · Multiple correct
The nuclear spin quantum number (I) of a nucleus is $\frac{3}{2}$ . When placed in an external magnetic field, the number of possible spin energy states it can occupy is2018 · Q48 · Numerical
The electron of a hydrogen atom is in its $n^{t h}$ Bohr orbit having de Broglie wavelength of 13.4 Å. The value of $n$ is (rounded up to the nearest integer). [Radius of $n^{t h}$ Bohr orbit = 0.53 $n^{2}$ Å, $π$ …2018 · Q60 · Numerical
Ionisation energy of hydrogen atom in ground state is 13.6 eV. The energy released (in eV) for third member of Balmer series is2017 · Q28 · MCQ
For a particle in one-dimensional box of length $L$ with potential energy $V (x) = 0$ for $L > x > 0$ and $V (x) = \infty$ for $x \geq L$ and $x \leq 0$ , an acceptable wave function consistent with the boundary conditions is (A, B, C and D…2017 · Q30 · MCQ
Wave nature of electromagnetic radiation is observed in2017 · Q40 · Multiple correct
The effective nuclear charge of helium atom is 1.7. The first ionization energy of helium atom in eV is2016 · Q28 · MCQ
The 3pz orbital has2016 · Q39 · Multiple correct
The diatomic molecule(s) that has(have) two π-type bonds is(are)2016 · Q40 · Multiple correct
According to the equipartition principle, the predicted high temperature limiting value of the molar heat capacity at constant volume for C $_{2}$ H $_{2}$ is2015 · Q22 · MCQ
If $\overset{x}{^} = x \times$ and $\overset{p}{^}_{x} = \frac{h}{2 π i} \frac{d}{d x}$ , then the value(s) of $\overset{p}{^}_{x} \overset{x}{^} - \overset{x}{^} \overset{p}{^}_{x}$ is/are2015 · Q38 · Multiple correct