Ion-like Hydrogen Atom Energy Levels

Ion-like Hydrogen Atom

• The problem involves a hydrogen-like ion denoted as zX+2, indicating a positively charged ion with an atomic number Z.
• The ion has an electron at energy level n1 and its ionization energy, the energy required to remove the electron, is 30.6 eV.
• The atomic number Z and the initial energy level n1 need to be determined.

Transition to n=4

• The problem asks to calculate the frequency of radiation associated with the electron transitioning from energy level n1 to n=4.
• This transition can result in either the emission or absorption of radiation.
• The type of transition (emission or absorption) needs to be explained and justified based on the energy levels involved.

Key Constants

• The following physical constants are provided:
  • Speed of light (c): 3.0 x 10^8 m/s
  • Planck constant (h): 6.63 x 10^-34 J⋅s
  • Rydberg constant (R): 1.09677 x 10^7 m^-1

This quiz focuses on calculating the ionization energy and atomic number of a hydrogen-like ion with a positive charge. It also explores the frequency of radiation during an electron transition from one energy level to another. Key physical constants are provided to assist with the calculations.