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
Superposition, Interference and Diffraction
Path difference and phase difference
- 3 things to know
- Unit AS 2
Overview
Recall questions on the definition of path difference, the whole-wavelength and half-odd-wavelength conditions for constructive and destructive interference, the same conditions in terms of phase, why the central fringe is always bright, worked examples with given path differences, and two loudspeakers wired out of phase.
What you need to know
Answer each one before you reveal it.
State the condition on path difference for destructive interference.
State the conditions for constructive and destructive interference in terms of phase difference.
Questions from this subtopic
Each one with the model answer underneath.
- 1
Define path difference.
Model answer
The path difference at a point is the difference between the distances travelled from each of the two sources to that point, measured in metres.
- 2
State the condition on path difference for constructive interference.
Model answer
Constructive interference occurs where the path difference is a whole number of wavelengths, that is nλ where n is 0, 1, 2, and so on.
- 3
State the condition on path difference for destructive interference.
Model answer
Destructive interference occurs where the path difference is an odd number of half wavelengths, that is (n + ½)λ.
- 4
State the conditions for constructive and destructive interference in terms of phase difference.
Model answer
Constructive interference occurs when the phase difference is a whole number of full cycles, that is 2πn radians, and destructive interference when it is an odd multiple of π radians.
- 5
Waves from two coherent sources arrive at a point with a path difference of 1.5 wavelengths. What is observed there?
Model answer
The point is dark or quiet, because an odd number of half wavelengths means the waves arrive in antiphase and cancel.
- 6
Waves from two coherent sources arrive at a point with a path difference of exactly two wavelengths. What is observed there?
Model answer
The point is bright or loud, because a whole number of wavelengths means the waves arrive in phase and reinforce.
Other ways to work this
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