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COMEDK2013PhysicsAtomic Physics

Which state of triply ionised Beryllium ( Be ⁺⁺⁺ ) has the same orbital radius as that of the ground state of hydrogen?

Options

  1. An=3
  2. Bn=4
  3. Cn=1
  4. Dn=2

Correct answer

D. n=2

Step-by-step solution

The radius in Bohr's atomic model is given by r=0.53 n² Z Å For Be ³⁺ ; Z _ Be =4, n_ Be = ? For H , Z _ H =1, n_ H =1 As per question, aligned & r_ Be =r_ H & n_ Be ² Z_ Be = n_ H ² Z_ H & n_ Be = n_ H ² ( Z _ Be Z_ H ) = 1 4 1 =2 aligned

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