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NEET · Physics · STD 12 - 12. atoms
The radius of the first permitted Bohr orbit for the electron, in a hydrogen atom equals \(0.51 \mathring A\) and its ground state energy equals \(-13.6\; eV\). If the electron in the hyrogen atom is replaced by muon (\(\mu^{-}\)) [charge same as electron and mass \(207 \mathrm{m}_{e}\)], the first Bohr radius and ground state energy will be
- A \(0.53 \times 10^{-13}\; \mathrm{m},-3.6\; \mathrm{eV}\)
- B \(25.6 \times 10^{-13} \;\mathrm{m},-2.8 \;\mathrm{eV}\)
- C \(2.56 \times 10^{-13} \;\mathrm{m},-2.8 \;\mathrm{keV}\)
- D \(2.56 \times 10^{-13}\; \mathrm{m},-13.6\; \mathrm{eV}\)
Answer & Solution
Correct Answer
(C) \(2.56 \times 10^{-13} \;\mathrm{m},-2.8 \;\mathrm{keV}\)
Step-by-step Solution
Detailed explanation
According to the question, mass of muon, \(m_m=207 m_e\)
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