Calculus-based wave phenomena, interference, and optics concepts for a college physics sequence, distinct from the mechanics and E&M decks.
40 cards · basic cards · AI-written, checked twice. Edit anything.
- Wave speed v in terms of frequency f and wavelength lambda
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v = f * lambda
- Period T of a wave
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Time for one complete oscillation
- Frequency f in terms of period T
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f = 1/T
- General sinusoidal wave equation y(x,t)
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y(x,t) = A sin(kx - omega*t + phi)
- Wave number k
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k = 2*pi/lambda
- Angular frequency omega in terms of frequency f
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omega = 2*pi*f
- Intensity I of a wave
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Average power per unit area; proportional to amplitude squared
- Superposition principle for waves
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Net displacement at a point is the vector sum of displacements from all individual waves
- Path difference for constructive interference
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Delta = m*lambda where m = 0, 1, 2, ...
- Path difference for destructive interference
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Delta = (m + 1/2)*lambda where m = 0, 1, 2, ...
- Path difference between two slits at angle theta in Young's experiment
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Delta = d*sin(theta) where d is slit separation
- Bright fringe positions in Young's double slit (small angle approximation)
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y = m*lambda*L/d where m = 0, 1, 2, ...; L is distance to screen
- Dark fringe positions in single slit diffraction
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a*sin(theta) = m*lambda where m = 1, 2, 3, ...; a is slit width
- Standing wave definition
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Wave pattern from two waves traveling in opposite directions with same frequency and amplitude
- Wavelengths for standing waves on a string fixed at both ends
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lambda_n = 2*L/n where n = 1, 2, 3, ... and L is string length