JEE Advanced · 2024 · 26 May 2024 · Paper 2 · Atomic Structure

The 2s and the 2p orbital energies of hydrogen atom are ${\mathrm{E}}_{2\mathrm{s}}(\mathrm{H})$ and ${\mathrm{E}}_{2\mathrm{p}}(\mathrm{H})$, respectively. The 2s and the 2p orbital energies of lithium atom are ${\mathrm{E}}_{2\mathrm{s}}(\mathrm{Li})$ and …

${\mathbf{X}}^{\mathbf{a}+}$ and ${\mathbf{Y}}^{\mathbf{b}+}$ are hydrogen-like species. The wavelength of light absorbed during the transition between the states with principal quantum numbers $n=1$ and $n=2$ of ${\mathbf{X}}^{\mathbf{a}+}$ is $\lambda$. The wavelength of light absorb …

Among the following, the correct statement(s) for electrons in an atom is(are)

For ${\mathrm{He}}^{+}$, a transition takes place from the orbit of radius 105.8 pm to the orbit of radius 26.45 pm.
The wavelength (in nm) of the emitted photon during the transition is ____.
[Use:
Bohr radius, $a=52.9$ pm
Rydberg constant, …

Consider a helium (He) atom that absorbs a photon of wavelength 330 nm . The change in the velocity (in $\mathrm{cm}{\mathrm{s}}^{-1}$ ) of He atom after the photon absorption is ____.
(Assume: Momentum is conserved when photon is absorbed.
Use: Planck constant …

The ground state energy of hydrogen atom is -13.6 eV. Consider an electronic state $\Psi$ of ${\mathrm{He}}^{+}$ whose energy, azimuthal quantum number and magnetic quantum number are -3.4 eV, 2 and 0 respectively. Which of the following statement(s) is(are) true for the state …