CCEA A-Level Physics 1210
Physical Quantities, Scalars and Vectors
Moments and Equilibrium
Linear Motion and Dynamics
Newton's Laws of Motion
Linear Momentum and Impulse
Work, Energy and Power
Current, Charge and Potential Difference
Resistance and Resistivity
Internal Resistance and Potential Dividers
Waves
Refraction
Lenses
Superposition, Interference and Diffraction
Quantum Physics
Wave-Particle Duality
Astronomy
Practical Skills and Data Analysis
Deformation of Solids
Thermal Physics
Uniform Circular Motion
Simple Harmonic Motion
The Nucleus and Radioactive Decay
Nuclear Energy, Fission and Fusion
Gravitational Fields
Electric Fields
Capacitors
Magnetic Fields
Charged Particles and Accelerators
Wave-Particle Duality
The de Broglie wavelength
- 3 things to know
- Unit AS 2
Overview
De Broglie equation, defining every symbol with its unit and de Broglie's hypothesis.
What you need to know
Answer each one before you reveal it.
How does the de Broglie relation apply to photons?
Why can an electron microscope resolve much finer detail than a light microscope?
Questions from this subtopic
Each one with the model answer underneath.
- 1
State the de Broglie equation, defining every symbol with its unit.
Model answer
λ = h/mv, where λ is the de Broglie wavelength in metres, h is the Planck constant in J s, m is the mass of the particle in kg and v is its speed in m s⁻¹.
- 2
Write the de Broglie equation in terms of momentum.
Model answer
λ = h/p, where p is the momentum of the particle in kg m s⁻¹ and h is the Planck constant in J s.
- 3
State de Broglie's hypothesis.
Model answer
De Broglie proposed that every moving particle has an associated wavelength given by the Planck constant divided by its momentum, so that matter as well as radiation shows wave-particle duality.
- 4
Why is the wavelength associated with a moving particle called its de Broglie wavelength?
Model answer
It is named after de Broglie, who first suggested that the relation λ = h/p already known for photons should apply to particles with mass as well.
- 5
What happens to the de Broglie wavelength of a particle as its speed increases?
Model answer
The wavelength decreases, because it is inversely proportional to the momentum and therefore to the speed for a given mass.
- 6
What happens to the de Broglie wavelength of particles of the same speed as their mass increases?
Model answer
The wavelength decreases in inverse proportion to the mass, which is why heavier particles show wave behaviour far less readily.
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