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The boards atomic model and electron jumps from n is equals to 1 2 n is equals to 3 how much energy will be absorbed?
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Understanding Energy Absorption in Bohr's Atomic Model
In Bohr's atomic model, electrons occupy discrete energy levels (orbits) around the nucleus. When an electron transitions between these levels, it either absorbs or emits energy.
Energy Levels and Transitions
- Electrons exist in quantized energy levels, denoted as n=1, n=2, n=3, etc.
- The energy associated with each level is given by the formula: E = -13.6 eV/n².
Energy Calculation for n=1 to n=3 Transition
1. Energy at n=1:
- E1 = -13.6 eV / (1²) = -13.6 eV
2. Energy at n=3:
- E3 = -13.6 eV / (3²) = -13.6 eV / 9 = -1.51 eV
3. Energy Absorption Calculation:
- The energy absorbed (ΔE) when an electron jumps from n=1 to n=3 is:
- ΔE = E3 - E1 = (-1.51 eV) - (-13.6 eV) = 12.09 eV
Conclusion
- When an electron jumps from n=1 to n=3, it absorbs approximately 12.09 eV of energy.
- This energy can be supplied in the form of photons, with the energy of the photon matching the energy difference between the two levels.
Understanding these transitions is crucial for grasping the behavior of electrons in atoms and is fundamental in fields such as quantum mechanics and spectroscopy.
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The boards atomic model and electron jumps from n is equals to 1 2 n is equals to 3 how much energy will be absorbed?
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