1. In a head-on collison with an atom, a fast-moving electron summers a deceleration of 4:0 1023 m/s2.
(a) What is the electric radiation field generated by the electron at a distance of 10 cm at right angles to the direction of motion?
(b) What is the magnetic field produced by this deceleration? Pretend that our in-class derivation (non-relativistic) for the radiation field can be applied to this problem. Note: Radiation emitted by the collision of a beam of fast-moving electrons with the atoms in a target (block of metal) is called Bremsstrahlung (from the German for "braking radiation"). This is one mechanism by means of which X rays are produced in an X-ray tube (i.e., for dental imaging, medical imaging, industrial imaging - video see at https://www.youtube.com/watch?v=Bc0eOjWkxpU).
2. At a distance of 6.0 km from a radio transmitter, the amplitude of the oscillating electric field of the radio wave is E0 = 0:13 V/m. (a) What is the time-averaged energy flux? (b) What is the total power radiated by the radio station (for this question, assume (not so accurate an assumption), that the transmitter radiates uniformly in all directions (unlike a linearly accelerated charge). Hint: Total power will pass through a spherical surface centered on the transmitter).
3. The average energy flux in the sunlight incident on the earth is S = 1:4103 W/m2: What force does the pressure of light exert on the Earth? How does this compare with the gravitational force that the Sun exerts on the Earth? Pretend that all of the light striking the Earth is absorbed.
4. The index of refraction for germanium and silicon, in the so-called "far- infrared" (terahertz frequencies), are 4.00 and 3.42, respectively. A germanium prism is placed in contact with a flat piece of silicon. What is the critical angle of incidence for total internal reaflection for light propagating within germanium and incident upon the germanium/silicon interface?