A charged particle moving with speed Ï through a medium of refractive index n emits CÌerenkov radiation
Question:
(a) What is the maximum angle of emission and to what limit does it correspond?
(b) If the momentum p of the particle is known, show that the mass squared x of the particle is given by
x = (mc2)2 = p2c2 (n2 cos2 θ 1).
(c) If the error on the momentum is negligible, show, by taking derivatives of this expression, that for highly relativistic particles, the standard error Ïx on x is approximately
where Ïθ is the standard error on θ.
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