Review Exam 1

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Review Exam 1
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Formulas

• Time Dilation
• Length Contraction
• Relativistic Momentum

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Formulas

• Relativistic Energy
• Rest Energy
• Total Energy

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Useful Formulas for Speed, Energy, and Momentum

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• Photoelectric Effect
• Comptons equation
• Planks Law

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• Stefan-Boltzman Radiation Law
• Stefan-Boltzman constant
  
• Wiens displacement law
• Rayleigh-Jeans Law

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• Specific Heat
• Latent Heat
• Work done by engine
• Thermal Efficiency

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Typical Problems
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• Two identical twins Speedo and Goslo join a
  migration from the Earth to Planet X. It is 20.0
  LY away in a reference frame in which both
  planets are in the rest. The twins, of the same
  age, departs at the same time on different
  spacecrafts. Speedos craft travels steadily at
  0.950c, and Goslos at 0.750c. Calculate the age
  difference between the twins after Goslos
  spacecraft lands on Planet X. Which twin is the
  older?

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• A proton in high-energy accelerator moves with
  a speed c/2. Use the work kinetic energy theorem
  to find the work required to increase the speed
  to (a) 0.750c and (b) 0.995c.

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• In the constellation Orion we can observe two
  bright stars Betelgeuse appears to glow red,
  while Rigel looks blue in color. Which star has a
  higher surface temperature? (?red700nm
  ?blue430nm)

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• Electrons are ejected from a metallic surface
  with speed ranging up to 4.60x105 m/s when light
  with a wavelength of 625 nm is used. What is the
  work function of the metal? What is the cutoff
  frequency of this surface?

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• A 0.110-nm photon collides with a stationary
  electron. After the collision, the electron moves
  forward and the photon recoils backward. Find the
  momentum and the kinetic energy of the electron.
• (Compton effect problem)

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• Find the power per unit area radiated from the
  surface of the sun in the wavelength range 600.0
  to 605.0 nm

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• The power output of the Sun is 3.771026 W.
• How much mass is converted to energy in the Sun
  each second?