Physics High
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    • 1 Foundations >
      • 1.1 Dimensions and units
      • 1.2 Mathematic skills
      • 1.3 Graphing
      • 1.4 Vectors
    • 2 Mechanics >
      • 2.1 Kinematics 1D >
        • 2.1.1 Kinematics Intro
        • 2.1.2 Acceleration
        • 2.1.3 Graphing Motion
        • 2.1.4 Equations of Motion
      • 2.2 Kinematics 2D >
        • 2.2.1 Relative Motion
        • 2.2.2 Projectile Motion
      • 2.3 Forces >
        • 2.3.1 Newton's Laws
        • 2.3.2 forces in equilibrium
        • 2.3.3 Normal
        • 2.3.4 Friction
        • 2.3.5 Forces and Pulleys
      • 2.4 Momentum and Energy >
        • 2.4.1 Momentum
        • 2.4.2 Energy
      • 2.5 Rotational Mechanics >
        • 2.5.1 Circular Motion
        • 2.5.2 Angular Velocity
        • 2.5.3 Circular applications
        • 2.5.4 Torque
      • 2.6 Gravity >
        • 2.6.1 Gravitation
        • 2.6.2 Orbital Motion
        • 2.6.3 Kepler's Laws
        • 2.6.4 Gravitation and Energy
    • 3 Waves and Optics >
      • 3.1 Wave Phenomena >
        • 3.1.1 Wave Types
        • 3.1.2 Superposition
        • 3.1.3 Interference
        • 3.1.4 Inverse Square Law
        • 3.1.5 Modulation
      • 3.2 Sound >
        • 3.2.1 Beats
        • 3.2.2 Doppler
        • 3.2.3 Resonance
        • 3.2.4 Standing Waves
      • 3.3 Physical Optics >
        • 3.3.1 Light - a history
        • 3.3.2 Double Slit Diffraction
        • 3.3.3 Light - its speed
        • 3.3.4 Light as EMR
        • 3.3.5 Polarisation
        • 3.3.6 Spectroscopy
        • 3.3.7 Scattering
      • 3.4 Geometric Optics >
        • 3.4.1 Reflection
        • 3.4.2 Refraction
        • 3.4.3 Lenses and Images
        • 3.4.4 Dispersion
    • 4 Thermodynamics >
      • 4.1 Heat and Temperature
      • 4.2 Specific Heat Capacity
      • 4.3 Latent Heat
      • 4.4 Blackbody Radiation
    • 5 Electricity and Magnetism >
      • 5.1 Electrostatics >
        • 5.1.1 Charge
        • 5.1.2 Coulomb's Law
        • 5.1.3 Electric Field
        • 5.1.4 Voltage
      • 5.2 Circuits >
        • 5.2.1 Ohm's Law
        • 5.2.2 Series and Parallel Circuits
        • 5.2.3 Electrical Power
      • 5.3 Electromagnetism >
        • 5.3.1 Moving Charges in Electric Fields
        • 5.3.2 Ampere's Law
        • 5.3.3 Charge in Magnetic Fields
        • 5.3.4 Motor Effect
        • 5.3.5 DC Motor
      • 5.4 Electromagnetic Induction >
        • 5.4.1 Magnetic Flux
        • 5.4.2 Faraday's Law
        • 5.4.3 Lenz' Law
        • 5.4.4 Back EMF
        • 5.4.5 Generators
        • 5.4.6 Transformers
        • 5.4.7 Induction Motors
    • 6 Modern Physics >
      • 6.1 Relativity >
        • 6.1.1 Michelson Morley Experiment
        • 6.1.2 Special Relativity
        • 6.1.3 Special Relativity Evidence
      • 6.2 Atomic Physics >
        • 6.2.1 JJ Thomson and the electron
        • 6.2.2 Millikan
        • 6.2.3 Rutherford
        • 6.2.4 Chadwick
      • 6.3 Radioactivity >
        • 6.3.1 What is Radioactivity
        • 6.3.2 Half Life
        • 6.3.3 Binding Energy
        • 6.3.4 Strong Nuclear Force
        • 6.3.5 Fission
        • 6.3.6 Fusion
      • 6.4 Quantum Physics >
        • 6.4.1 Planck and the Blackbody
        • 6.4.2 Photoelectric Effect
        • 6.4.3 Bohr Model
        • 6.4.4 de Broglie and Matter Waves
        • 6.4.5 Compton Effect
        • 6.4.6 Schrödinger Equation
        • 6.4.7 Heisenberg
        • 6.4.8 Lasers
      • 6.4 Particle Physics
      • 6.5 Solid State Physics
    • 7 Astrophysics >
      • 7.1 Olber's Paradox
      • 7.2 Stellar Spectroscopy
      • 7.3 Determining Stellar Distances
      • 7.4 Star Magnitude
      • 7.5 Star Temperature
      • 7..6 HR Diagram
    • 8 Medical Physics >
      • 8.1 Ultrasound
      • 8.2 X-ray
      • 8.3 PET scans
      • 8.4 MRI
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Bohr Model

PREVIOUS LESSON                                                                                                                               NEXT LESSON
After the Rutherford experiment, which established a planetary model for the atom, a problem existed as to why electrons stay in orbit. Electromagnetic Theory would predict that the electron would spiral in to the nucleus.

Clearly this does not happen (we would not be here to learn about it!)

Niels Bohr, in 1913,  introduced quantum understanding to solve this problem. But before we look at Bohr's solution, we also need to examine another discovery that helped Bohr develop his model.

In the late 1800's spectroscopy and spectral analysis had come some way after the initial discoveries of spectral lines by the German physicist, Joseph von Fraunhofer.
However, was there a pattern to the produced lines? There was, and that work was done by Swedish physicist Johannes Rydberg and later, Johann Balmer, the mathematician from Switzerland.

Watch this video to find out more.

Sample Problem
We are now ready to try a sample problem
Below is a sample problem with a video that explain how to solve it. It is suggested you try the problem beforehand, as this actually aids understanding, even if you are unsure if you are correct.



An emission spectrum of hydrogen reveals four lines in the visible range, called the Balmer Series. What frequency of light is emitted if the electron transition associated with this frequency moves from 5 to 2?

Theory
We have now covered the groundwork that Bohr examines - the baviour of atomic spectra, the mathematical models of Balmer, the flaws in the Rutherford model, and now, the hypothesis from Planck, that energy can be quantised
It is from here that Bohr set out to develop a atomic that had quanta as is basis (though not completely as you shall see)

Interactive
​From Walter Fendt - self explanatory. It does mention de Broglie , which is in the next lesson
PREVIOUS LESSON                                                                                                                               NEXT LESSON

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  • Home
  • Lessons
    • 1 Foundations >
      • 1.1 Dimensions and units
      • 1.2 Mathematic skills
      • 1.3 Graphing
      • 1.4 Vectors
    • 2 Mechanics >
      • 2.1 Kinematics 1D >
        • 2.1.1 Kinematics Intro
        • 2.1.2 Acceleration
        • 2.1.3 Graphing Motion
        • 2.1.4 Equations of Motion
      • 2.2 Kinematics 2D >
        • 2.2.1 Relative Motion
        • 2.2.2 Projectile Motion
      • 2.3 Forces >
        • 2.3.1 Newton's Laws
        • 2.3.2 forces in equilibrium
        • 2.3.3 Normal
        • 2.3.4 Friction
        • 2.3.5 Forces and Pulleys
      • 2.4 Momentum and Energy >
        • 2.4.1 Momentum
        • 2.4.2 Energy
      • 2.5 Rotational Mechanics >
        • 2.5.1 Circular Motion
        • 2.5.2 Angular Velocity
        • 2.5.3 Circular applications
        • 2.5.4 Torque
      • 2.6 Gravity >
        • 2.6.1 Gravitation
        • 2.6.2 Orbital Motion
        • 2.6.3 Kepler's Laws
        • 2.6.4 Gravitation and Energy
    • 3 Waves and Optics >
      • 3.1 Wave Phenomena >
        • 3.1.1 Wave Types
        • 3.1.2 Superposition
        • 3.1.3 Interference
        • 3.1.4 Inverse Square Law
        • 3.1.5 Modulation
      • 3.2 Sound >
        • 3.2.1 Beats
        • 3.2.2 Doppler
        • 3.2.3 Resonance
        • 3.2.4 Standing Waves
      • 3.3 Physical Optics >
        • 3.3.1 Light - a history
        • 3.3.2 Double Slit Diffraction
        • 3.3.3 Light - its speed
        • 3.3.4 Light as EMR
        • 3.3.5 Polarisation
        • 3.3.6 Spectroscopy
        • 3.3.7 Scattering
      • 3.4 Geometric Optics >
        • 3.4.1 Reflection
        • 3.4.2 Refraction
        • 3.4.3 Lenses and Images
        • 3.4.4 Dispersion
    • 4 Thermodynamics >
      • 4.1 Heat and Temperature
      • 4.2 Specific Heat Capacity
      • 4.3 Latent Heat
      • 4.4 Blackbody Radiation
    • 5 Electricity and Magnetism >
      • 5.1 Electrostatics >
        • 5.1.1 Charge
        • 5.1.2 Coulomb's Law
        • 5.1.3 Electric Field
        • 5.1.4 Voltage
      • 5.2 Circuits >
        • 5.2.1 Ohm's Law
        • 5.2.2 Series and Parallel Circuits
        • 5.2.3 Electrical Power
      • 5.3 Electromagnetism >
        • 5.3.1 Moving Charges in Electric Fields
        • 5.3.2 Ampere's Law
        • 5.3.3 Charge in Magnetic Fields
        • 5.3.4 Motor Effect
        • 5.3.5 DC Motor
      • 5.4 Electromagnetic Induction >
        • 5.4.1 Magnetic Flux
        • 5.4.2 Faraday's Law
        • 5.4.3 Lenz' Law
        • 5.4.4 Back EMF
        • 5.4.5 Generators
        • 5.4.6 Transformers
        • 5.4.7 Induction Motors
    • 6 Modern Physics >
      • 6.1 Relativity >
        • 6.1.1 Michelson Morley Experiment
        • 6.1.2 Special Relativity
        • 6.1.3 Special Relativity Evidence
      • 6.2 Atomic Physics >
        • 6.2.1 JJ Thomson and the electron
        • 6.2.2 Millikan
        • 6.2.3 Rutherford
        • 6.2.4 Chadwick
      • 6.3 Radioactivity >
        • 6.3.1 What is Radioactivity
        • 6.3.2 Half Life
        • 6.3.3 Binding Energy
        • 6.3.4 Strong Nuclear Force
        • 6.3.5 Fission
        • 6.3.6 Fusion
      • 6.4 Quantum Physics >
        • 6.4.1 Planck and the Blackbody
        • 6.4.2 Photoelectric Effect
        • 6.4.3 Bohr Model
        • 6.4.4 de Broglie and Matter Waves
        • 6.4.5 Compton Effect
        • 6.4.6 Schrödinger Equation
        • 6.4.7 Heisenberg
        • 6.4.8 Lasers
      • 6.4 Particle Physics
      • 6.5 Solid State Physics
    • 7 Astrophysics >
      • 7.1 Olber's Paradox
      • 7.2 Stellar Spectroscopy
      • 7.3 Determining Stellar Distances
      • 7.4 Star Magnitude
      • 7.5 Star Temperature
      • 7..6 HR Diagram
    • 8 Medical Physics >
      • 8.1 Ultrasound
      • 8.2 X-ray
      • 8.3 PET scans
      • 8.4 MRI
  • curriculum specific
    • NSW >
      • NSW curriculum >
        • Year 11
        • Year 12
      • HSC question per Module
      • HSC Exam review >
        • Downloads/notes
    • QLD curriculum
    • IB curriculum
    • SAT curriculum
    • AP Physics 1&2 curriculum
  • Resources
    • Review videos
    • Shorts
    • Formula Sheet
    • tools >
      • Calculator
      • Oscilloscope
    • data sheet
    • for students >
      • recommended physics sites
      • Review and Tips
    • for teachers
    • Blogs >
      • Podcasts
      • PhysicsHigh blog
    • About >
      • Who am I
      • FAQ
      • Fun
      • Contact