Home Physics Atomic and Nuclear Physics Mix Match the column: Column -IColumn -II(i) Bin…
Physics Atomic and Nuclear Physics Mix MCQ (Single Correct)

Match the column:

Column -I

Column -II

(i) Binding Energy of electron in triply ionized Lithium atom

[A] 340 eV

(ii) Energy that can remove electron from first excited state of tetra ionized Beryllium atom

[B] 3.4 eV

(iii) Ionization energy of pentaionised Boron

[C] 122.4 eV

(iv) Energy obtained in assembling singly ionized Helium atom so that the atom can be in ground state or other excited states

[D] 54.4 eV

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Ans.

(i) [C]

(ii) [D]

(iii) [A]

(iv) [B], [D]

Sol.

Ionization energy or Binding energy

E 0 = Z 2 . (13.6 eV)

Z = 3 for Lithium. E 0 = (3) 2 (13.6) = 9 × 13.6

E 0 = 122.4 eV

Energy of electron in any state in any atom is –

E = – × 13.6 eV

For Z = 4, n = 2; i.e., for Beryllium in first excited state E = – × 13.6 E = – 54.4 eV

Energy required is E req = – E = 54.4 eV

Ionization energy of pentaionised Boron is

E 0 = (Z) 2 × (13.6) = (5) 2 × 13.6

E 0 = 25 × 13.6 = 340 eV

When a system is assembled from its constituent’s energy is released (obtained)

For He + atom in ground state, E 1 = = 54.4 eV

For He + atom in third excited, E 2 =

E 2 = = 3.4 eV

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