In a hydrogen atom, the energy levels are quantized. What is the formula for the

Practice Questions

Q1
In a hydrogen atom, the energy levels are quantized. What is the formula for the energy of the nth level?
  1. E_n = -13.6/n^2 eV
  2. E_n = -13.6n^2 eV
  3. E_n = -13.6/n eV
  4. E_n = -13.6n eV

Questions & Step-by-Step Solutions

In a hydrogen atom, the energy levels are quantized. What is the formula for the energy of the nth level?
  • Step 1: Understand that a hydrogen atom has different energy levels where electrons can exist.
  • Step 2: Know that these energy levels are quantized, meaning they can only take specific values.
  • Step 3: Identify the principal quantum number, n, which can be any positive integer (1, 2, 3, ...).
  • Step 4: Learn the formula for the energy of the nth level: E_n = -13.6/n^2 eV.
  • Step 5: Recognize that 'E_n' represents the energy at level n, and '-13.6' is a constant specific to hydrogen.
  • Step 6: Understand that as n increases, the energy becomes less negative, meaning the electron is less tightly bound to the nucleus.
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