Exam 1 2003

# Exam 1 2003 - PHYSICS 13 HOUR EXAM 1 FALL 2003 Grades I II...

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1 PHYSICS 13 HOUR EXAM 1 FALL 2003 Grades: points/possible points I /50 II /50 III /40 IV /60 Total: /200 This is a closed book, closed notes exam. You may use calculators. Make sure you show all your work! You will get partial credit for correct intermediate steps. Useful Formulae and Data Relativistic Energy = m 0 c 2 / (1-u 2 /c 2 ), where m 0 is the rest mass; m 0 c 2 =Rest Energy Lorentz Transformation frame S´ moves in the +x direction with V as seen in S: x= γ (x´+Vt´), y=y´, z=z´, t= γ (t´+Vx´/c 2 ) where γ =1/ (1-V 2 /c 2 ) Addition of velocities for an object moving at u´ x and u´ y in S´: u x =(u´ x +V)/(1+Vu´ x /c 2 ), u y =u´ y /(1+Vu´ x /c 2 ) Doppler Effect: f’ = f [ (1+v/c) / (1-v/c)] f = frequency Compton scattering: λ ’ - λ = (h/m e c)(1-cos θ ); (h/m e c)=2.43x10 -12 m Quantum: E=hf Photoelectric effect: hf = mv max 2 /2 + Φ (work function) de Broglie: λ =h/p General waves: λ f=v phase Light: λ f=c Bohr atom (single electron): E n =-Z 2 E 0 /n 2 , with E 0 =13.61 eV=k 2 e 4 m/2 η 2 transitions: hf nm = E n - E m Heisenberg’s Uncertainty: x p η /2 Constants : Velocity of light: c = 3.00x 10 8 meter/sec Planck’s constant: h = 6.63 x 10 -34 J sec= 4.14 x 10 -15 eV sec η = h/2 π = 1.05 x 10 -34 J sec = 6.58 x 10 -16 eV sec hc = 1.24 x 10 -6 eV m Rest energy of electron = m e c 2 = 0.511 MeV Units: Energy: 1 J(oule) = 1 Kg m 2 /sec 2 ; 1 eV(electron Volt) = 1.6x10 -19 J; 1 MeV = 10 6 eV = 1.78x10 -30 Kg ± c 2 & 1 MeV/c 2 = 1.78x10 -30 Kg

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