Chapter 12 Superposition Flashcards
(11 cards)
Principle of superposition
When waves meet the actual displacement is the vector sum of separate displacements of individual waves, and each wave proceeds as don’t know other waves exist
Interference
A result of superposition of wave trains from a finite number of coherent sources
Coherent sources
Sources that have a constant phase difference
Constructive interference
When two waves meet in phase at a point, they reinforce each other and resultant amplitude of the wave is a maximum.
Destructive interference
When two waves meet in antiphase, they cancel each other out and the resultant amplitude of the wave is a minimum.
Conditions for observable interference
Sources must be coherent
Amplitude of both waves must be similar
Waves cannot be polarized in mutually perpendicular planes
Diffraction
Spreading of waves when they pass through an opening or around an obstacle
Equation indicating position of first minimum
sinθ = λ/b
θ: angle subtended by first minimum and central maximum
λ: wavelength of incident light
b: width of slit
Rayleigh’s criterion
Images of two point sources can just barely be distinguished from each other if the central maximum of one diffraction pattern falls on the first minimum of the other one
θ = λ/b
Double slit
Separation of fringes formula
λ = ax/D
λ: wavelength of incident light
a: distance between slits
D: distance between screen and double slit
x: fringe separation
Diffraction grating for nth order maximum
d sin θn = nλ
d: slit separation
θn: angle btw nth max and centre
λ: wavelength of incident light