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.
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