Muon ( ⁻¹ ) is negatively charged (| q |=| e |) with a mass m _ =200 ~m _ e , where m _ e is the mass of the electron and e is the electronic charge. If ⁻¹ is bound to a proton to form a hydrogen like atom, identify the correct statements (

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Muon ( ⁻¹ ) is negatively charged (| q |=| e |) with a mass m _ =200 ~m _ e , where m _ e is the mass of the electron and e is the electronic charge. If ⁻¹ is bound to a proton to form a hydrogen like atom, identify the correct statements (A) Radius of the muonic orbit is 200 times smaller than that of the electron (B) the speed of the ⁻¹ in the n th orbit is 1 200 times that of the election in the nth orbit (C) The

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Correct answer: D. (A), (C), (D)

aligned & (A) Radius of muon = Radius of hydrogen 200 & Radius of H atom =r= ₀ n^2 h^2 m e^2 & Radius of muon =r_ = ₀ n^2 h^2 200 m e^2 &r_ = r 200 aligned (B) Velocity relation given is wrong (C) Ionization energy in e⁻ H atom E= +m e^4 8 ₀^2 n^2 h^2 E_ = 200 m e^4 8 ₀^2 n^2 h^2 =200 E (D) Momentum of H -atom m v r= n h 2 Hence (A), (C), (D) are correct.

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