With increasing Principal Quantum number, the energy difference between adjacent energy levels in H-atom

Step-by-step solution

Therefore the energy difference between n 1 & n 2 energy level, Energy formula for the hydrogen atom is :- ∆ E = E n 2 - E n 1 = 13 .6 Z 2 1 n 1 2 - 1 n 2 2 ∆ E ∝   1 n 1 2 - 1 n 2 2 n 1 & n 2 = principle quantum Number ∵ ∆ E ∝   1 n 1 2 - 1 n 2 2 so when n 1 & n 2 increases ∆ E decreases. Change in energy is inversely proportional to the increase in the principle quantum number. Hence, w ith increasing Principal Quantum number, the energy difference b