Key relationship
rn=a₀n²; vn=v₁/n; En=−13.606/n² eV; L=nħ.
Physics · Class 12
Bohr hydrogen levels
Bohr states have discrete energies and angular momenta. Larger n means a larger radius, lower speed and energy closer to zero. A bound state has negative energy relative to a separated electron and nucleus.
Open the interactive experiment →Bohr hydrogen levels
போர் மாதிரியில் ஆற்றலும் கோண உந்தமும் தனித்த மதிப்புகளைப் பெறும். n அதிகரித்தால் ஆரம் அதிகரித்து பிணைப்பு குறையும்.
Key notes, relationships and model limits
Remember
Bohr states have discrete energies and angular momenta. Larger n means a larger radius, lower speed and energy closer to zero. A bound state has negative energy relative to a separated electron and nucleus.
Common trap
Negative bound energy does not mean a negative kinetic energy.
Model limits
One-electron hydrogen, stationary Bohr states, nonrelativistic model. Real quantum states are orbitals; the rings visualize quantized radius scales.
What you will learn
Compare quantized hydrogen radii, speeds and energies.
Try the experiment
Try both scenarios, change one control, and predict the result before checking the graph and readouts.
Think of it this way
Change one input while keeping the others fixed, as you would in a controlled experiment.
Worked example
At n2, r≈0.2117 nm and E≈−3.401 eV.
Why this matters
The model connects bohr hydrogen levels with an observable reading. Check the equation and assumptions before applying it.
Before you start
SI units · algebra · graph reading
Check your understanding
Hydrogen radius at n=2 is how many times the ground-state radius?
- Two
- Four
- Half
Read the explanation
Radius scales as n².
Course connection: Class XII Chapter 12. Consult the roadmap for CBSE, NEET, JEE Main and Advanced scope.