Fundamental Properties - GRE Subject Test: Physics

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Question

A particle traveling through glass (index of refraction 1.33) emits Cherenkov radiation. Which of the following is a possible speed of the particle?

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Answer

Cherenkov radiation is emitted by a particle traveling faster than the phase velocity of light in that medium. Because , the phase velocity of light in the glass is:

This is the minimum velocity of a particle to be emitting Cherenkov radiation in glass. This eliminates all answers except and . The latter is impossible because it is greater than the speed of light in a vacuum, therefore the answer is .

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