Question

33.6 A muon is a elementary particle whose properties are similar to those of an electron (a negative charge and a spin of 1/2) with to the exception of its mass. Because of this it is possible to replace a one or more electrons in an atom with muons. A muon is 207 times 5more massive than an electron (and so has mass 1.88 x 102 kg). If the electron in a hydrogen atom was replaced with a muon then 2.4 7 an exotic 'muonic hydrogen' atom is created. (a) By what factor would the Bohr radius of the 'muonic hydro- gen' atom change? (b) By what factor will the energy of a particular electronic en- ergy level change for 'muonic hydrogen'? (c) What will the wavelengths of the first three lines in the Balmer series (n 2) be for this exotic 'muonic hydrogent atom? (d) For ordinary hydrogen, the Balmer series falls in the visible region of the electromagnetic spectrum. In what region of electro- magnetic spectrum would you search for the absorption/emissio lines of the Balmer series of 'muonic hydrogen'?

Answer 1

Bahr's radis ao = 0.06 483 90 KC o3.8 ev 3815 2312.8 ev d,a 3.17 nm -135:95w うよー210 ev , nm 521.85

w = -1/2.608 ev. よS d3 = 1240 nm 591