As we move to higher energy levels (larger 'n' values) in the Bohr model of a hydrogen atom, the energy difference between successive levels:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Decreases continuously.
In the Bohr model, the energy of an electron in the nth level is given by En = -13.6/n2 eV. As the principal quantum number n increases, the energy value becomes less negative, meaning the electron is less tightly bound to the nucleus.
However, the gap between successive levels, Δ E = En+1 - En, follows an inverse square relationship. Consequently, as n grows larger, the levels become increasingly "crowded" or closer together, leading to a continuous decrease in the energy difference.