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Question : 17 of 18
Marks:
+1,
-0
Obtain the first Bohr’s radius and the ground state energy of a muonic hydrogen atom [i.e., an atom in which a negatively charged muon () of mass about 207 me orbits around a proton].
Solution:
In Bohr’s model, the radius of nth orbit, r = In the given muonic hydrogen atom, a negatively charged muon () of mass 207 revolve around a proton. Therefore radius of electron and muon can be written as = = ⇒ = = m = 2.5 × m Energy of electron in the orbit, E = - ⇒ = = = 207 = 207 [- 13.6 eV] = - 2.8 keV
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