The radius of the 2 nd orbit of Li 2 + is x . The expected radius of the 3 rd orbit of Be 3 + is

Step-by-step solution

Radius of orbit ( r )   =   0 . 529   ×   n 2 Z Where, n = principal quantum number of orbit Z = Atomic number ( r Li 2 + ) n = 2   =   0 . 529   ×   ( 2 ) 2 3   =   x   - - - - - ( 1 ) r Be 3 + n = 3   =   0 . 529   × ( 3 ) 2 4   - - - - - ( 2 ) Divide equation (1) by equation (2) r Li 2 + n = 2 r Be 3 + n = 3   =   0 . 529   × ( 2 ) 2 3 0 . 529   × ( 3 ) 2 4 ⇒ x ( r Be 3 + ) n = 3   =