In a hydrogen atom, which transition would emit the photon with the highest ener

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

Options:

Correct Answer: n=2 to n=1

Solution:

The energy of the emitted photon 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 photon with the highest energy?

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

Correct Answer: Transition from n=2 to n=1

Step 1: Understand that in a hydrogen atom, electrons can exist in different 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 value) to a lower energy level (lower n value), it emits energy in the form of a photon.
Step 3: The energy of the emitted photon depends on the difference in energy between the two levels (the higher n level and the lower n level).
Step 4: Calculate the energy difference for the transition from n=2 to n=1. This transition has the largest energy difference compared to other transitions like n=3 to n=2 or n=4 to n=3.
Step 5: Conclude that the transition from n=2 to n=1 emits the photon with the highest energy because it involves the largest drop in energy levels.

Energy Levels in Hydrogen Atom – The hydrogen atom has quantized energy levels, denoted by the principal quantum number n. Transitions between these levels result in the emission or absorption of photons with energies corresponding to the difference between the levels.
Photon Energy Calculation – The energy of a photon emitted during a transition is 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.
Largest Energy Difference – The transition that emits the highest energy photon is the one with the largest difference in energy levels, which occurs when an electron falls from a higher energy level to the lowest energy level (n=1).