Simple Harmonic Motion: F = - kx ( k = spring constant)



Formulae for PHYS101 Final Examination (December 2005)

Fluids: P = P0 + (gh, (vA = constant or A1v1 = A2v2

PG = P – PA P + [pic]( v2 + (gh = constant B = FB = MF g = (gV

[pic] [pic] Water (20˚) η = 1.0 x 10 –3 (SI);

Harmonic Motion: F = − kx ( k = spring constant) PE = ½ k x2 KE = ½ mv2

[pic] = − ω2 x(t)

[pic] (Pendulum); [pic] (Spring); [pic]

A(t) = A(0) [pic] , [pic]

Travelling Waves: [pic] [pic] [pic] [pic]

General Equation for a travelling wave: [pic]

Harmonic Waves: [pic]

Standing waves: [pic]

Sound: I = P/A I = Intensity, P = Power, A = Area

[pic] fbeats = | f1 − f2 | [pic] spherical wave [pic] [pic]

Interference and Diffraction: Index of refraction : n = [pic] [pic]

Hard reflection Δφ = π Soft reflection Δφ = 0

Optical path length = nd phase difference = [pic] + Δφ

Optical path difference = (n1 – n2) d

Thin Film: 2nt = mλ ( for constructive interference and when Δφ=0 )

2-slit interference: d sin ( = m( (bright fringes), d sin ( = (m+½)( (dark fringes)

Single-slit diffraction minima: a sin ( = m( m = (1, (2,.. circular aperture: (min = 1.22 [pic]

Constants: Patmosphere = 1.013(105 Pa, Density of fresh water = 1000 kg/m3

Density of air = 1.29 kg/m3 Velocity of sound in air = 343 m/s g == 9.81 m/s2

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