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JEE Main202313 Apr 2023Morning ShiftChemistryStructure of AtomActual

The energy of an electron in the first Bohr orbit of hydrogen atom is - 2 . 18 × 10 - 18 J Its energy in the third Bohr orbit is _ _ _ _ _ _ _ .

Options

  1. A1 9 th of the value
  2. B1 27 of this value
  3. CThree times of this value
  4. DOne third of this value

Correct answer

C. Three times of this value

Step-by-step solution

The energy of an electron in the n th Bohr orbit of a hydrogen atom can be calculated using the formula: E n = - 2 . 18 × 10 - 18 Z 2 n 2 Where   n   is   the   principal   quantum   number   of   the   Bohr   orbit . E n α 1 n 2 E n α 1 9 Therefore, the energy of the electron in the third Bohr orbit of a hydrogen atom is Three times of this value.

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