eq_sheet2_08_1 - Equation Sheet 2 Ch. 36 Single Slit (width...

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() n 1 2 Ch 35 Wavelength and index of refraction: Double slit experiment: for 0 1 2 (maxima-bright fringes) for 0 1 2 (minima-dark fringes) Intensity in two-slit interfere n dsin m , m ,, m , m λ θλ = == =+ = 2 1 0 2 1 2 2 2 nce: 2 4 where Thin-film interference 2 , for 0 1 2 (maxima-bright film in air) 2 , for 0 1 2 (minima-dark film in air) d II c o s , s i n Lm m , , n , n π φφ θ = Equation Sheet 2 θ d P 2 m m Ch. 36 Single Slit (width ): where 1 2 3 (minima) Diffraction pattern intensity , where is the intensity at the center of the pattern Circular-aperture diffrac a asin m m , , sin a s i n I απ θα αλ ⎛⎞ ⎜⎟ ⎝⎠ R 2 2 tion (diameter ): 122 Rayleigh's criterion: Double-slits diffraction where (double slit) and same as for single slit diffraction Diffraction gratings m d sin . d . d sin c o s d sin α θβ βθ = = = = hw avg (N multiple slits): for 0 1 2 (maxima) half widths given by: (half-widths) angular disperion: = resolving power: X-ray diffraction: 2 f o r 1 m ,, , Nd cos m D dcos RN m m λθ Δ= Δ = Δ Δ 23 (Bragg 's law) ,,, ob ey ob ey Optical instruments 1. Simple magnifying lens 25 cm 2 Compound microscope 25 cm 3 Refracting telescope
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This note was uploaded on 06/11/2010 for the course PHYSICS 207 taught by Professor Ellis during the Spring '10 term at SUNY Buffalo.

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