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The energy of second Bohr orbit of the hydrogen atom is -328 kJ mol⁻¹; hence the energy of fourth Bohr orbit would be:

1. -41 kJ mol⁻¹
2. -82 kJ mol⁻¹
3. -164 kJ mol⁻¹
4. -1312 kJ mol⁻¹

Correct answer: -82 kJ mol⁻¹

Solution

The energy of Bohr orbits is inversely proportional to the square of the principal quantum number (n). For the second orbit, energy is -328 kJ mol⁻¹. For the fourth orbit, energy = -328 × (2² / 4²) = -82 kJ mol⁻¹.

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