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COMEDK · Physics · 28. Atomic Physics

An atom with one electron has ionization energy of 24 eV. An electron in this atom makes a transition from an excited energy level, where E = -15 eV, to the ground state. What is the wavelength of the emitted photon from this transition?

  1. A \(138\ \text{nm}\)
  2. B \(496\ \text{nm}\)
  3. C \(775\ \text{nm}\)
  4. D \(112\ \text{nm}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(138\ \text{nm}\)

Step-by-step Solution

Detailed explanation

The ionization energy of the atom is \(24\ \text{eV}\), which means the energy of the ground state is \(E_1 = -24\ \text{eV}\). The energy of the excited state is given as \(E_2 = -15\ \text{eV}\). When the electron transitions from the excited state to the ground state, the…