phys2401 formulas

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PowLow
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35611
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phys2401 formulas
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2010-09-19 00:21:01
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Description:
(Important) formulas for Physics 2401 Exam 1 (Ch.32-35)
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  1. Law of Reflection
    • θr = θi
    • angle of reflection = angle of incidence
  2. Radius of Curvature
    • r = 2f
    • (radius) = 2 * (focal length)
  3. Mirror/Thin Lens Equation
    • 1/do + 1/di = 1/f
    • 1 / (distance of object) + 1 / (distance of image) = 1 / (focal length)
  4. Lateral Magnification
    • m = hi/ho = -di/do
    • (magnification) = (height of image) / (height of object) = -(distance of image) / (distance of object)
    • note: - is sign convention
  5. Index of Refraction
    • n = c/v
    • (index of refraction) = (speed of light in vacuum) / (speed of light in given material)
  6. Snell's Law
    • n1sinθ1 = n2sinθ2
    • (index of refraction1) * (sine of angle1) = (index of refraction2) * (sine of angle2)

    • note: if n2 > n1, then θ2 < θ1.
    • ie: if light goes to a medium with higher n (and speed is less), ray is bent toward the normal and vice versa.
  7. Critical Angle
    • sinθc = n2/n1
    • (sine of critical angle) = (index of refraction2) / (index of refraction1)
  8. Power of Lens
    • P = 1/f
    • (power) = 1 / (focal point)
    • note: unit is diopter, m-1, (1/m)
  9. Angular Magnification/Magnifying Power
    • M = θ'/θ = (h/f)/(h/N)
    • (angular magnification) = θwith lens / θunaided = [(height of object) / (focal length)] / [(height of object) / (near point of eye)]
    • note: N for normal eye is 25
  10. Wavelength in Another Medium
    • λn = λ/n
    • (wavelength in new medium) = (wavelength in air) / (index of refraction of new medium)
  11. Interference Equations
    • Constructive: dsinθ = mλ
    • Destructive: dsinθ = (m+1/2)λ
    • (distance between slits) * (sine of angles made with horizontal) = (order + n) * (wavelength)
    • note: m = 0, 1, 2, ...
  12. Diffraction Equation
    • Dsinθ = mλ
    • (slit width) * (sine of angle of rays) = (order) (wavelength)
    • note: m = +/-1, +/-2, +/-3, ...
  13. Rayleigh Criterion
    • λ = 1.22λ/D
    • (resolvable angle) = 1.22 * (wavelength) / (diameter of lens)
  14. Resolving Power (microscope)
    • RP = s = fθ = 1.22λf/D
    • (resolving power) = (actual distance barely resolvable) = (focal point) * (subtended angle) = 1.22 * (wavelength) * (focal length) / (diameter of lens)
  15. Diffraction Grating equation
    • dsinθ = mλ
    • (distance between slits) * (sine of angles made with horizontal) = (order) * (wavelength)
    • note: m = 0, 1, 2, ...
  16. Bragg Equation
    • 2dsinĪ• = mλ
    • (distance between atoms) * (sine of measured angle) = (order) * (wavelength)
    • note: m = 0, 1, 2, ...
  17. Polarization Equation
    • I = I0cos2θ
    • (intensity of polarized light) = (incoming intensity) * (cosine of angle between polarizer and incoming light)2
  18. Brewster's Law
    • tanθp = n2/n1
    • (tangent of polarizing angle) = (index of refraction2) / (index of refraction1)

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