x distance from center to 1st max M h i h o d i d o � wavelength of light di

X distance from center to 1st max m h i h o d i d o ?

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x = distance from center to 1st max M = h i /h o = - d i /d o λ = wavelength of light d i = image distance d o = object distance f = focal length M = magnification h i = image height h o = object height ø c = critical angle Electricity & Magnetism Symbols F = kq 1 q 2 /r 2 B = flux density E = F/q F = force V = W/q k = electrostatic constant E = V/d V = electric potential difference I = q/t E = electric field V = IR q = charge P = VI = I 2 R = V 2 /R W = Pt = VIt = I 2 Rt F = qVB V = Blv v = velocity F = BIl l - length of conductor Series Circuits It = I 1 = I 2 = I 3 = ..... I = current V t = V 1 + V 2 + V 3 +..… R = resistance R t = R 1 + R 2 + R 3 + ..… V = electric potential difference Parallel Circuits I t = I 1 + I 2 + I 3 + ..... V t = V 1 = V 2 = V 3 = .... 1/R t = 1/R 1 + 1/R 2 + 1/R 3 + .... Transformers I p = current in primary coil I s = current in secondary coil N p /N s = V p /V s N p = # of turns of primary coil V p I p = V s I s N s = # of turns of secondary coil V p = voltage of primary V s = voltage of secondary Modern Physics W o = hf o W o = work function E photon = hf c = speed of light in vacuum KE max = hf - Wo f = frequency p = h/ λ f o = threshold frequency E photon = E i - E f h = Planck ʼ s constant p = momentum λ = wavelength KE = kinetic energy T 1/2 = 0.693/ λ N = atoms remaining after time t N = N o e - λ t N o = original number of atoms λ = decay constant t = time Nuclear Energy E = mc 2 m = mass E = energy Circular/Periodic Motion a c = v 2 /r r = radius F c = mv 2 /r Fc = centripetal force v = 2 π r/T v = velocity T = 2 π (l/g)1/2 [pendulum] ac = centripetal acceleration g = GM/d2 T = period v escape =[2GM E /r e ]1/2 M E = mass of Earth T satellite = 2 π [(r 3 /GM E )]1/2 r E = radius of earth Phantastic Physics Phormulae and Phacts Phlyer 9
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Fundamental Constants Quantity Symbol Value Avogadro ʼ s number NA 6.02 x 10 23 Electron Charge e 1.6 x 10 -19 Planck ʼ s Constant h 6.63 x 10 -34 J s Mass of electron me 9.1 x 10 -31 kg Mass of neutron mn 1.67 x 10 -27 kg Mass of proton mp 1.67 x 10 -27 kg Speed of light (vacuum) c 3 x 10 8 m/s Universal Gravitational G 6.67 x 10 -11 N m 2 /kg 2 Universal Gas Constant R 8.314 J/mol K Electrostatic Constant k 9.0 x 10 9 N m 2 /C 2 Some Useful Conversion Factors Length Work and Energy 1 in = 2.54 cm 1 J = 0.7376 ft lb = 107 ergs 1 ft = 0.3048 m 1 kcal = 4186 J 1 mi = 5280 ft = 1.609 km 1 Btu = 1055 J 1 m = 3.281 ft 1 kWh = 3.60 x 10 6 J 1 km = 0.6214 mi 1 ev = 1.602 x 10 -19 J 1 angstrom = 1 x 10-10 m Mass Power 1 slug = 14.59 kg 1 hp = 550 ft lb/s = 745.7 W 1 kg = 1000 g = 6.852 x 10 -2 slug 1 W = 1 J/s = 0.7376 ft lb/s 1 amu (u) = 1.66 x 10 -27 kg 1 kg = 2.205 lb Time Pressure 1 day = 24 h = 1440 min = 1 atm = 1.013 x 10 5 Pa = 1.013 bar 8.64 x 10 4 s = 14.7 lb/in 2 = 760 Torr = 760 mm Hg 1 yr = 365.24 days =3.156 x 10 7 s Speed Volume 1 mi/hr = 1.609 km/hr = 1.476 ft/s = 1 L = 10 -3 m 3 = 1000 cm 3 = 0.4470 m/s 0.0353 ft 3 1 ft3 = 0.02832 m 3 = 7.481 US gal 1 km/hr = 0.6214 mi/hr = 0.2778 m/s 1 US gal = 3.785 x 10 -3 m 3 = = 0.9113 ft/s 0.1337 ft 3 Force Angle 1 lb = 4.448 N 1 radian = 57.30° 1 N = 10 5 dynes = 0.2248 lb 1° = 0.01745 radian Prefixes Denoting Multiples of Ten Prefix Symbol Factor Tera T 10 12 Giga G 10 9 Mega M 10 6 Kilo k 10 3 Hecto h 10 2 Deka da 10 1 Deci d 10 -1 Centi c 10 -2 Milli m 10 -3 Micro μ 10 -6 Nano n 10 -9 Pico p 10 -12 Useful Physical Data Earth Gravity 9.8 m/s 2 or 32.2 ft/s 2 Atm. Pres (sea level) 1.013 x 10 5 Pa = 14.70 lb/in 2 Density of air (STP) 1.29 kg/m 3 Speed of sound in air (20°C) 343 m/s Water Density (4°C) 1.000 x 10 3 kg/m3 Hf 3.35 x 10 5 J/kg Hv 2.26 x 10 6 J/kg c 4186 J/kg °C Earth Mass 5.98 x 10 24 kg Radius (eq) 6.38 x 10 6 m Earth-Sun Dist 1.50 x 10 11 m Moon Mass 7.35 x 10 22 kg Radius 1.74 x 10 6 m Earth-Moon Dist 3.85 x 10 8 m Sun
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