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If electron in the atom is replaced by a particle (muon) having the same charge but mass about 200 times as that of the electron to form a muonic atom, how would : (i) the radius and (ii) the ground state energy of this be affected ? |
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Answer» SOLUTION :A muonic atom is the atom in which a negatively CHARGED muon of mass about 200 `m_(e)`, revolves around a PROTON. In Bohr.s atomic model, `RPROP(1)/(m)` So, `(r_(mu))/(r_(e))=(m_(e))/(mmu)` or `(r_(mu))/(r_(e))=(1)/(200)` or `r_(mu)=(r_(e))/(200)` `:.` i.e., the radius reduces to `(1)/(200)` times. Again, in Bohr.s atomic model `Epropm` So, `(E_(mu))/(E_(e))=(m_(mu))/(m_(e))=(200)/(1)` or `E_(mu)=200E_(e)` i.e., the ground STATE energy increases by 200 times. |
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