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.



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