When high-energy, charged particles move through a transparent medium with a speed greater than the speed of light in that medium, a shock wave, or bow wave, of light is produced. This phenomenon is called the Cherenkov effect and can be observed in the vicinity of the core of a swimming pool reactor due to high-speed electrons moving through the water. In a particular case, the Cherenkov radiation produces a wavefront with an apex half-angle of 61.8?.
Calculate the speed of the electrons in the water. The speed of light in water 2.2 × 108 m/s.