When high-energy, chargedparticles move through a transparent medium with a spee
ID: 1665722 • Letter: W
Question
When high-energy, chargedparticles move through a transparent medium with a speed greaterthan the speed of light in that medium, a shock wave, or bow wave,of light is produced. This phenomenon is called the Cherenkoveffect and can be observed in the vicinity of the core of aswimming pool reactor due to high-speed electrons movingthrough the water. In a particular case,the Cherenkov radiation produces a wavefront with an apexhalf-angle of 70.6?.
Calculate the speed of the electrons in the water. The speed oflight in water 2.15 × 108 m/s.
Answer in units of m/s.
Explanation / Answer
Shockwave cone angle is sin=speed of light/speed ofelectron sin(70.6)=2.15x10^8/speed, speed=2.15x10^8 / sin(70.6) speed = 2.279x10^8m/s
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