A) Spacing between energy levels n =1 and n = 2 in hydrogen atom is greater than that of n=2 and n = 3
B) Spacing between energy levels n = 1 and n = 2 in hydrogen atom is equal to that n = 2 and n = 3
C) Spacing between energy levels n = 1 and n =3 in hydrogen atom is less than that of n=2 and n = 3
D) None
Correct Answer: A
Solution :
[a] \[{{E}_{n}}=-\frac{13.6{{Z}^{2}}}{{{n}^{2}}}eV\] \[\Delta {{E}_{1}}\to 2=-\frac{13.6}{{{2}^{2}}}+\frac{13.6}{{{1}^{2}}}=10.2eV\] \[\Delta {{E}_{2}}\to 3=-\frac{13.6}{{{3}^{2}}}+\frac{13.6}{{{2}^{2}}}=1.9eV\] \[\therefore \]on moving from lower value of n to higher value of energy difference between successive energy levels decreases.
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