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Manipal MET2013PhysicsAtomic Physics

If the energy of a hydrogen atom in n^ mn orbit is E_n then energy in the n^ th orbit of a singly ionized helium atom will be

Options

  1. A4 E_n
  2. BE_n / 4
  3. C2 E_n
  4. DE_n / 2

Correct answer

A. 4 E_n

Step-by-step solution

aligned & E= -m z^2 e^4 8 ₀ h^2 1 n^2 & Z_H=1, & Z_ He =2 & E_H E_ He = Z_H^2 Z_ He ^2 = 1 4 & E_H= Z_H^2 Z_ He ^2 = 2 4 & E_ He =4 E_H & E_H=E_n & E_ He =4 E_n aligned

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