Atomic Physics

The ionization energy of hydrogen in the ground state is the energy required to remove the electron from the n = 1 level to the n = ∞ level. From Bohr's model, the ionization energy for hydrogen is given by:

Step 1: Understand the transition in a hydrogen-like atom.
When an electron transitions from a higher energy state to a lower one, both its kinetic energy and potential energy decrease. As the electron moves to a lower energy level, the total energy also decreases.
Step 2: Conclusion.
Thus, all the energy components (kinetic, potential, and total energy) decrease.
Final Answer:

Step 1: Understanding emission lines.
The hydrogen atom emits spectral lines when an electron moves from a higher energy level to a lower one. To get six lines in the emission spectrum, the wavelength of incident radiation must excite the electron to the required energy level.
Step 2: Using the Balmer formula.
For hydrogen, the wavelength of incident radiation that produces six lines is given by , which corresponds to the excitation from the ground state to higher levels.
Final Answer: