And evacuated gas chamber has only 5 atoms of hydrogen with there firs...
Calculation of Maximum Number of Spectral Lines Released
- Given Data:
- Number of hydrogen atoms in the gas chamber: 5
- Excited States of hydrogen atoms: 1st, 2nd, 3rd, 4th, 5th
- Electrons grounded by d excitation
- Calculation:
- For each excited state, the electron can transition back to the ground state, releasing a spectral line.
- The total number of possible transitions for one atom is 5 (1st to ground state, 2nd to ground state, 3rd to ground state, 4th to ground state, 5th to ground state).
- Since there are 5 hydrogen atoms, the total number of spectral lines released can be calculated as:
5 atoms * 5 transitions = 25 spectral lines
- Explanation:
- When an electron transitions from an excited state to the ground state, it releases energy in the form of a photon. Each transition corresponds to a specific wavelength of light, leading to the emission of spectral lines.
- In this scenario, with 5 hydrogen atoms in the gas chamber and all electrons grounded by d excitation, there are a total of 25 possible transitions that can occur, resulting in 25 spectral lines being released.
Therefore, a maximum of 25 spectral lines could be released from the evacuated gas chamber with 5 hydrogen atoms having electrons grounded by d excitation.