Hydrogen Atom Photon Absorption – Rankers Physics

Atomic Structure: Practice Problem & Solution

Assertion (A): A hydrogen atom can absorb a photon whose energy is greater than \(13.6\text{ eV}\). Reason (R): The binding energy of a hydrogen atom is \(13.6\text{ eV}\).  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Atomic Structure. Understanding the underlying formula is key to arriving at the correct answer below:

Binding energy of hydrogen atom is \(13.6\text{ eV}\). A photon with energy \(ge 13.6\text{ eV}\) can ionize the atom. Excess energy becomes \(K.E.\) of electron. So (A) is true. (R) states the binding energy. (R) correctly explains (A).

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