List of top Physical Chemistry Questions on Quantum Chemistry asked in GATE CY

The orbital angular momentum (\(\mathbf{L}\)) of an electron is \(\sqrt{12}\,\hbar\). The minimum angle between \(\mathbf{L}\) and its \(z\)-component (in degrees) is (rounded off to one decimal place).

The positions of two atoms in spherical polar coordinates \((r, \theta, \Phi)\) are \((1, \frac{\pi}{2}, \frac{\pi}{2})\) and \((1, \frac{\pi}{4}, \frac{3\pi}{2})\), where the distance is in \(\overset{\circ}{\mathrm{A}}\) and the angles are in radian. The interatomic distance (in \(\overset{\circ}{\mathrm{A}}\)) is (rounded off to two decimal places).

The correct option for the average value of kinetic energy and the average value of potential energy of a one-dimensional harmonic oscillator with frequency \(\nu\) in its ground state is:

For the wavefunction \(\Phi = x(a-x)\), where \(a\) is a constant, the correct statement(s) is(are)

The correct statement(s) about spherical harmonics \((Y_l^m)\) is(are)