Bohr Model for Hydrogen-like Species

2025 1 question

1. 1 Structure of Atom Easy
   Energy and radius of first Bohr orbit of $\text{He}^+$ and $\text{Li}^{2+}$ are [Given: $R_H = 2.18 \times 10^{-18}\text{ J}$, $a_0 = 52.9\text{ pm}$]:
   A $E_n(\text{Li}^{2+}) = -19.62 \times 10^{-18}\text{ J}; r_n(\text{Li}^{2+}) = 17.6\text{ pm}; E_n(\text{He}^+) = -8.72 \times 10^{-18}\text{ J}; r_n(\text{He}^+) = 26.4\text{ pm}$ B $E_n(\text{Li}^{2+}) = -8.72 \times 10^{-18}\text{ J}; r_n(\text{Li}^{2+}) = 26.4\text{ pm}; E_n(\text{He}^+) = -19.62 \times 10^{-18}\text{ J}; r_n(\text{He}^+) = 17.6\text{ pm}$ C $E_n(\text{Li}^{2+}) = -19.62 \times 10^{-16}\text{ J}; r_n(\text{Li}^{2+}) = 17.6\text{ pm}; E_n(\text{He}^+) = -8.72 \times 10^{-16}\text{ J}; r_n(\text{He}^+) = 26.4\text{ pm}$ D $E_n(\text{Li}^{2+}) = -8.72 \times 10^{-16}\text{ J}; r_n(\text{Li}^{2+}) = 17.6\text{ pm}; E_n(\text{He}^+) = -19.62 \times 10^{-16}\text{ J}; r_n(\text{He}^+) = 17.6\text{ pm}$
   Check Answer