a muonic atom has an electron replaced by a particle called a muon, which is about...

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a muonic atom has an electron replaced by a particle called amuon, which is about 200 times more massive, but otherwise almostthe same as an electron before you start the rest of this, you'llwant to check what quantities for a bohr hydrogen atom depend onthe electron mass. consider a muonic hydrogen atom in its groundstate. ignore subtle effects like the reduced mass or anyrelaticistic considerations (even though the former should berelevant here). Remember that in a bound electrostatic system thekinetic energy is equal to the opposite of the total energy.Calculate:

a) The orbital frequency and the wavelength corresponding toclassical electron-magnetic waves of this frequency

b) The frequency and wavelength of a photon with just enoughenergy to ionize the system

c) The de broglie wavelength and the de broglie frequency forthe muon

d) Another relevant length scale is the so-called \"comptonwavelength\" of the muon, which is the wavelength corresponding tothe rest-energy of the particle assuming the speed of light.calculate the compton wavelength of the muon e) yet one morerelevant length scale is the radius of this atom, a0(u). Takingthis length as an uncertainty on where the muon might be found,what is the minimum uncertainty on momentum?

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