Physics · Bohr model, energy levels, hydrogen spectrum
If excitation energy for the like (hypothetical) sample is , then binding energy
If \( I \) excitation energy for the \( H- \) like (hypothetical) sample is \( 24 e V \), then binding energy in \( I I I \) excired state is:
- A. 2 eV
- B. 3 eV
- C. 4 e V \)
- D. 5 eV
Step-by-step solution
For hydrogen-like atoms, excitation energy from ground state (n=1) to first excited state (n=2) is ΔE = 13.6 Z² (1/1² - 1/2²) = 13.6 Z² (3/4) = 10.2 Z² eV. Given ΔE = 24 eV, Z² = 24/10.2 ≈ 2.3529. Binding energy in third excited state (n=4) is B.E. = 13.6 Z² / n² = 13.6 × 2.3529 / 16 ≈ 32/16 = 2 eV.
Related MCQs
- The wavelength of a certain electron transition in the hydrogen spectrum is 4864 A. Identify the transition.…
- An electron with energy 12.09 eV strikes hydrogen atom in ground state and gives its all energy to the hydrogen atom. Therefore hydrogen ato…
- Fraunh offer line of the solar system is an example of:…
- A ion is in its first excited state. Its ionization energy is?…
- Fill in the blank. In a Ruby laser, the colour of laser light is due to…