What is the energy difference between the n=1 and n=2 levels in a hydrogen atom?

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Question: What is the energy difference between the n=1 and n=2 levels in a hydrogen atom?

Options:

Correct Answer: 10.2 eV

Solution:

The energy difference between n=1 and n=2 in hydrogen is 10.2 eV.

What is the energy difference between the n=1 and n=2 levels in a hydrogen atom?

What is the energy difference between the n=1 and n=2 levels in a hydrogen atom?

Step 1: Understand that 'n' represents the energy level of an electron in a hydrogen atom. n=1 is the first level, and n=2 is the second level.
Step 2: Use the formula for the energy levels of a hydrogen atom: E_n = -13.6 eV / n^2.
Step 3: Calculate the energy for n=1: E_1 = -13.6 eV / (1^2) = -13.6 eV.
Step 4: Calculate the energy for n=2: E_2 = -13.6 eV / (2^2) = -13.6 eV / 4 = -3.4 eV.
Step 5: Find the energy difference between n=1 and n=2: Energy difference = E_2 - E_1 = -3.4 eV - (-13.6 eV) = -3.4 eV + 13.6 eV = 10.2 eV.

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