StudyGPT Just Leveled Up – Say Hello to Knowee! 🚀
Knowee
Questions
Features
Study Tools

The minimum energy required by a hydrogen atom in ground state to emit radiation in Balmer series is nearly:

Question

🧐 Not the exact question you are looking for?Go ask a question

Solution

The Balmer series corresponds to electronic transitions in the hydrogen atom from energy levels n > 2 to n = 2. The ground state of hydrogen corresponds to n = 1.

  1. First, we need to calculate the energy of the hydrogen atom in its ground state (n = 1). The energy of a level n in a hydrogen atom is given by the formula: E_n = -13.6/n^2 eV. So, for n = 1, E_1 = -13.6 eV.

  2. Then, we calculate the energy of the level n = 2, which is the final level in the Balmer series transitions. Using the same formula, for n = 2, E_2 = -13.6/2^2 = -3.4 eV.

  3. The energy required for the transition from n = 1 to n = 2 is the difference in energy between these two levels. So, the energy required is E_2 - E_1 = -3.4 - (-13.6) = 10.2 eV.

Therefore, the minimum energy required by a hydrogen atom in ground state to emit radiation in the Balmer series is nearly 10.2 eV.

This problem has been solved

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.