1.

Defineionisationenergy. Howwould theionisationenergywhenelectron in hydrogenatom is replaced byparticleof mass 200 times thatof theelectron buthavingthe samecharge ?

Answer»

Solution :Ionisationenergyof anatom is definedas theenergyrequiredto removean electron from groundstateenergylevel to itsfree state .
Ionisation energyof hydrogen is `E = + (me^(4))/( 8 in_(0)^(2) n^(2) h^(2)) = + 13.6eV`
IFELECTRON in hydrogen atom is replaced bya particleof mass 200 times that of electron (i.e., m = 200 m) but havingthe SAMECHARGE then new ionisationenergyof atom will be .
`E =+(m e^(4))/( 8 in_(0)^(2) n^(2) h^(2)) + ((200m)e^(4))/(8 in_(0)^(2) n^(2) h^(2)) = 200 E = 200 xx 13.6 EV= 2720 eV = 2.72 ke V`


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