An antiproton has the mass of a proton but a charge of . If a proton and an antiproton orbited each — Atomic Structure Chemistry Question
Question
An antiproton has the mass of a proton but a charge of $-e$. If a proton and an antiproton orbited each other, how far apart would they be in ground state of such a system? Mass of a proton is 1836 times the mass of an electron.
Answer: A
💡 Solution & Explanation
The reduced mass $\mu = \frac{m_p \cdot m_p}{m_p + m_p} = \frac{m_p}{2} = \frac{1836 m_e}{2} = 918 m_e$. The radius $r = \frac{a_0}{918} = \frac{52.9 \text{ pm}}{918} \approx 0.0576$ pm $\approx 0.058$ pm. Therefore, correct answer is A.
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