final - Physics 2020 Constants and Formulae Useful...

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Physics 2020 Constants and Formulae Useful Constants k e =8 . 99 × 10 9 Nm 2 /C 2 g =9 . 80 m/s 2 G =6 . 673 × 10 - 11 2 /kg 2 e =1 . 602 × 10 - 19 C h . 626 × 10 - 34 Js m p . 672 × 10 - 27 kg c =3 . 00 × 10 8 m/s m e . 110 × 10 - 31 kg I th . 00 × 10 - 12 W/m 2 I tp = 1.00 W/m 2 1eV = 1 . 602 × 10 - 19 J 1 cm = 10 - 2 m 1 MeV = 10 6 eV 1 hr = 3600 s 1 km = 10 3 m 1 nm = 10 - 9 m 1 μ m= 1 0 - 6 m 1 mm = 10 - 3 m
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Useful Formulae sin θ = opposite/hypotenuse cos θ = adjacent/hypotenuse x = x + v ( t - t )+ 1 2 a ( t - t ) 2 tan θ = opposite/adjacent 1 = cos 2 θ + sin 2 θr 2 = x 2 + y 2 v = v + a ( t - t ) v 2 = v 2 +2 a ( x - x ) ± F = m±a ± F g = ±w = m±g KE 1 2 mv 2 PE g = mgy KE i +PE i =KE f f ± p m±v F e = k e | q 1 || q 2 | /r 2 ± E = ± F e /q | W | = ΔPE = q Δ V = qEd R = R [1 + α ( T - T )] C = Q/ Δ V Δ V ≈E = Ed C eq = C i (parallel) 1 /C eq = (1 /C i ) (series) Δ V 1 V 2 V i V (parallel) Q 1 = Q 2 = Q i = Q (series) Δ V = Δ V i (series) τ = RC I Q/ Δ t = Q/ Δ tC = κC , C = ² A/d Δ V = IR 1 rev = 2 π radians = 360 r = mv/qB B = μ I/ (2 πr ) F s = - kx PE s = 1 2 2 β = 10 log( I/I ) I = P / (4 2 ) 1 /p +1 /q =1 /f n = c/v , n 1 λ 1 = n 2 λ 2 M = h ± /h = - q/p E = = hc/λ r n = n 2 (0.0529 nm) /Z v n = ± k e e 2 / ( m e r n ) n 1 sin θ 1 = n 2 sin θ 2 ν = c/λ λ max =(2 . 897 × 10 - 3 mK) /T θ m . 22 λ/D d sin θ = , m =0 , ± 1 , ± 2 ,... d /N y bright =( λL/d ) my = L tan θ
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Physics 2020-002 Name: Final (A) – 5 May 2010 . Part A: Hard Multiple Choice (20 points total, 2 points each, Circle Best Answer). 1. A proton ( q =+ e ) ‘feels’ a force of 1 . 73 × 10 - 12 N from another charged particle when it makes a closest approach of 20.0 nm. What is the charge of this other particle? a) 2 . 21 × 10 - 11 Cb ) 1 . 60 × 10 - 19 C c) 1.12 e d) 3.00 e e) 13.6 e 2. An alpha particle has a charge of 2.00 e . How much work is required to move this alpha particle across a potential difference of 2270 volts? a) 4.54 keV b) 13.6 eV c) 2 . 70 × 10 - 30 J d) 2 . 34 × 10 - 2 Je ) 1 . 07 × 10 3 J 3. A parallel-plate capacitor has a capacitance of 124 pF when air exists between its plates and 702 pF when a dielectric exists between its plates. What is the dielectric constant of this dielectric? a) 0.177 b) 2.44 c) 5.66 d) 13.6 e) 8 . 70 × 10 4 4. A potential drop of 12.6 V is experienced in a resistor when 2.24 mA of current is ±owing through this resistor. What is the resistance of this resistor? a) 28.2 mΩ b) 5.63 Ω c) 282 Ω d) 5630 Ω e) 9660 Ω 5. A RC circuit has a time constant of 0.222 s. If the resistance in this circuit is 988 Ω, was is the capacitance of this circuit?
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final - Physics 2020 Constants and Formulae Useful...

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