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The totalenergy of an electron in the firstexcited state of the hydrogenatom is about- 3.4 eV. (a) Whatis the kinetic energy of theelectron in this state ? (b) Whatis the potentialenergyof the electronin thisstate ? Whichof theanswers above would changeif the choice of thezero of potentialenergyis changed ? |
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Answer» SOLUTION :It is given here that total energy of an ELECTRON in the firstexctiedstate of thehydrogen atom is` - 3.4 eV. Thus E = - 3.4 eV`. (a) `therefore ` K.E of theelectron in thisstate `K = - E + 3.4 eV.` (b) `therefore ` Poteintial energy of the electron in thisstate `U =2K = - 6.8e V` (c) kineticenergydoes not depend upon thechoice of zeroof potential energyand remains UNAFFECTED . However , VALUE of potential energyand,consequently, value of the total energy of electron dependsupon the choiceof zeropoteintialenergy . Hence, on changing zero of potentialenergyvalues ofLI andE will change. |
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