Atomic Structure Question 182
Question: Which statement is true-
Options:
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
Show Answer
Answer:
Correct Answer: A
Solution:
- $ E_{n}=-\frac{13.6Z^{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.
