Q. The energy of second Bohr orbit of the hydrogen atom is −328 kJ mol⁻¹ ; hence the energy of fourth Bohr orbit would be :
A) −41 kJ mol⁻¹
B) −1224 kJ mol⁻¹
C) −284 kJ mol⁻¹
D) −82 kJ mol⁻¹
Explanation
[Solution from source] Eₙ ∝ 1/n², so E₄ = E₂ × (2/4)² = −328/4 = −82 kJ mol⁻¹. Dividing by 8 (−41 kJ mol⁻¹) wrongly uses Eₙ ∝ 1/n³. Answer (4).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.