MHT CET202616 April 2026Morning ShiftChemistryStructure of AtomActual
What is the energy of an electron in a hydrogen atom in a stationary state corresponding to n = 2 ?
Options
- A-5.45 10⁻¹⁹ J
- B-2.40 10⁻¹⁹ J
- C-4.35 10⁻¹⁸ J
- D-6.70 10⁻¹⁸ J
Correct answer
A. -5.45 10⁻¹⁹ J
Step-by-step solution
The energy of an electron in the n th stationary state of a hydrogen atom is given by the expression: E_n = -R_H ( 1 n^2 ) where R_H is the Rydberg constant for energy, which is equal to 2.18 10⁻¹⁸ J. For n = 2 : E₂ = -2.18 10⁻¹⁸ ( 1 2^2 ) J E₂ = - 2.18 10⁻¹⁸ 4 J E₂ = -0.545 10⁻¹⁸ J E₂ = -5.45 10⁻¹⁹ J Answer: -5.45 10⁻¹⁹ J