Which Energy State Of The Triply Ionized Beryllium (Be+++) Has The Same Electrons Orbital Radius As That Of The Ground State Of Hydrogen? Given Zfor Beryllium = 4.

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Question

Which energy state of the triply ionized beryllium (Be+++) has the same electrons orbital radius as that of the ground state of hydrogen? Given Zfor beryllium = 4.

Solution

Correct option is

n = 2

 

for an atom of atomic number Z, the radius of the nth orbit is given by 

             

Where  is a constant. For the ground state of hydrogen (Z = 1),n = 1 so that    

            r1 = K

let n be the energy state of Be+++ for which the orbital is r1. Putting Z = 4 and rn = r1 = K is eq. (i) we get       

            .

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