157. Problem 20.61 (RHK) The speed of light in water is (about three-fourths the speed in vacuum). A beam of high-speed electrons emits Cerenkov radiation in water, the wave front being a cone of angle . We have to find the speed of electrons in the water. |
Solution: Click For PDF Version A beam of high-speed electrons from a betatron emits Cerenkov radiation in water. Let the speed of electrons be . The wave front of the Cerenkov radiation forms a cone of angle . From the diagram we note that the speed of radiation () and the speed of electrons are related as
Therefore,
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