An electron-positron system is in n=2n=2 state. (a) Find the ionization energy (energy required to free the electron off the hold of positron) and the radius of the orbit. Interpret this radius in the context of the electron-positron system. (b) Compare the radius found in above with an estimate coming from uncertainty principle. (c) Find the wavelength of the photon emitted when the system decays to its ground state. (d) How much do the results change in the above if electron mass is used instead of the reduced mass for the system? (e) Is the system a relativistic system? Support your answer with an appropriate calculation. NOTE: (1) Positron is the antiparticle of electron. It has the same mass as that of an electron but opposite electric charge with the same magnitude. (2) Use reduced mass unless asked otherwise

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Atoms and Molecules

An atom is the smallest unit of an element that possesses all the properties of that particular element. Molecules are the smallest unit of a substance that possess all the properties of that particular substance.