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JEE Advance | PYQ

\( \mathrm{X^{a+}} \) and \( \mathrm{Y^{b+}} \) 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 \( \mathrm{X^{a+}} \) is \( \lambda \). The wavelength of light absorbed during the transition between the states with principal quantum numbers \( n = 2 \) and \( n = 4 \) of \( \mathrm{Y^{b+}} \) is \( 9\lambda \). The lowest possible value of \( (a + b) \) is __________.

The \( 2s \) and the \( 2p \) orbital energies of hydrogen atom are \( E_{2s}(\mathrm{H}) \) and \( E_{2p}(\mathrm{H}) \), respectively. The \( 2s \) and the \( 2p \) orbital energies of lithium atom are \( E_{2s}(\mathrm{Li}) \) and \( E_{2p}(\mathrm{Li}) \), respectively. The correct option(s) about the orbital energies is(are):