Sapling Learning A uranium and iron atom reside a distance R-45.7o nm apart. The

Question

Sapling Learning A uranium and iron atom reside a distance R-45.7o 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. Number uranium ion iron ion electron nm What is the magnitude of the force on the electron from the uranium ion? Number o Previous (8 Give up & view solution Check Answer 0 Next HExit -l Hint

Explanation / Answer

Both the ions, Iron and Uranium will attract the electron towards each other. At the equilibrium,

FU = FI

=> Kee/r2 = K2ee/R2 => 1/r2 = 2/R2 => r = R/sqrt(2) = 45.70 nm/sqrt(2) = 32.31 nm.

The magnitude of the force due to only Uranium will be FU = Kee/r2 = 9×109 × (1.6×10-19)2 / (32.31×10-9)2 N

=>FU = 2.21×10-13 N

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