Kuwait University Faculty of Science Physics Department Second Semester 2002-2003 Modern Physics 209 Final Examination Date: Name……………………………….. Student No. ………… 1. 2. 3. Solve all the given problems Show detailed solution for each problem Check the correct answer Prob. Marks 1 2 3 4 5 6 7 8 Total 1. The kinetic energy of an electron is 0.459 MeV. Find its relativistic speed. 2. The total energy of a moving proton is three times its rest energy. W hat is its speed during this motion? 3. Find the speed of a particle whose total energy is 50% greater than its rest energy. 4. A galaxy is emitting a light with wavelength 394 nm and is moving (receding) from Earth with a speed vo the wavelength of the light detected on the Earth is 475 nm. W hat is the speed v of the galaxy? 5. The cutoff frequency if v = 1.1 1015 m. W hat is the stopping potential for iron if photoelectrons are produced by light with = 250 nm? 6. X-ray xo = 0.712 Å are scattered at 90 from graphite. Calculate the fractional change in wavelength. 7. A light source of wavelength illuminates a metal and ejects photoelectrons with maximum kinetic energy of 1 eV. A second light source with half of wavelength of the first ejects photoelectrons with maximum kinetic energy of 4 eV. W hat is the work function of the metal? 8. An electron is accelerated from the rest through a small potential difference V. If the de Broglie wavelength of the electron is 1.7 Å (1.7 1015 m) calculate the potential difference.