Auranium and iron atom reside a distance r = 44.10 nm apart. the uranium atom is singly ionized; the iron atom is doubly ionized. calculate the distance r from the uranium atom necessary for an electron to reside in equilibrium. ignore the insignificant gravitational attraction between the particles.

distance r from the uranium atom is 18.27 nm

Explanation:

given data

uranium and iron atom distance R = 44.10 nm

uranium atom = singly ionized

iron atom = doubly ionized

to find out

distance r from the uranium atom

solution

we consider here that uranium electron at distance = r

and electron between uranium and iron so here

so we can say electron and iron  distance = ( 44.10 - r ) nm

and we know single ionized uranium charge q2= 1.602 × C

and charge on iron will be q3 = 2 × 1.602 × C

so charge on electron is q1 =  - 1.602 × C

and we know F =  

so now by equilibrium

Fu = Fi

 =  

put here k = and find r

 =  

r = 18.27 nm

distance r from the uranium atom is 18.27 nm

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