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In a hydrogen atom, which transition would emit the highest energy photon?

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Question: In a hydrogen atom, which transition would emit the highest energy photon?

Options:

  1. n=2 to n=1
  2. n=3 to n=2
  3. n=4 to n=3
  4. n=5 to n=4

Correct Answer: n=2 to n=1

Solution: 

The energy of the photon emitted is highest for the transition from n=2 to n=1, as it involves the largest energy difference.

In a hydrogen atom, which transition would emit the highest energy photon?

Practice Questions

Q1
In a hydrogen atom, which transition would emit the highest energy photon?
  1. n=2 to n=1
  2. n=3 to n=2
  3. n=4 to n=3
  4. n=5 to n=4

Questions & Step-by-Step Solutions

In a hydrogen atom, which transition would emit the highest energy photon?
Correct Answer: Transition from n=2 to n=1
  • Step 1: Understand that a hydrogen atom has energy levels, which are represented by 'n' values (n=1, n=2, n=3, etc.).
  • Step 2: Know that when an electron moves from a higher energy level (higher n) to a lower energy level (lower n), it emits energy in the form of a photon.
  • Step 3: The energy of the emitted photon depends on the difference between the two energy levels (n values).
  • Step 4: Calculate the energy difference for the transition from n=2 to n=1. This is a large difference.
  • Step 5: Compare this with other possible transitions, like n=3 to n=2 or n=4 to n=3, which have smaller energy differences.
  • Step 6: Conclude that the transition from n=2 to n=1 emits the highest energy photon because it has the largest energy difference.
  • Energy Levels in Hydrogen Atom – The hydrogen atom has quantized energy levels, denoted by principal quantum numbers (n). Transitions between these levels result in the emission or absorption of photons with energy corresponding to the difference between the levels.
  • Photon Energy Calculation – The energy of a photon emitted during a transition can be calculated using the formula E = -13.6 eV (1/n_final^2 - 1/n_initial^2), where n_final and n_initial are the principal quantum numbers of the final and initial states, respectively.
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