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KCET2016ChemistryStructure of Atom

The energy of electron in the ( n^ th ) Bohr orbit of H-atom is

Options

  1. A( -13.6 n² eV )
  2. B( -13.6 n eV )
  3. C( -13.6 n⁴ eV )
  4. D( -13.6 n³ eV )

Correct answer

A. ( -13.6 n² eV )

Step-by-step solution

The energy of ( e⁻ )in the nth Bohr orbit of H-atom is given by expression [ array l E_ n = -2 ² m e⁴ Z² n² h² (4 ₀ )² =-13.6 Z² n² e V array ] Since ( Z=1 ) for hydrogen above equation can be further simplified to [ E_ n = -13.6 n² eV ]

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