Why does the Cherenkov angle appear contradictory in these two images?

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Apashanka das
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Homework Statement

Diagram of a particle trajectory passing through a water box, emitting a Cherenkov cone that meets a ring; labels read particle trajectory, Cherenkov ring, Cherenkov cone, theta c, r, delta x, water as Cherenkov medium, Fig. 4.5.
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Homework Equations

The Attempt at a Solution

Diagram of Cherenkov radiation geometry: a red arrow enters from the left and meets a wavefront, with blue arrows radiating outward from two parallel wavefront lines, a labelled angle θ, the expression c/n t, and βct along the base.

I find something contradictory about the cherenkov angle for the above two image[/B]
 
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  • Diagram of a particle trajectory passing through a water box, emitting a Cherenkov cone that meets a ring; labels read particle trajectory, Cherenkov ring, Cherenkov cone, theta c, r, delta x, water as Cherenkov medium, Fig. 4.5.
    1520233428039337985130.jpg
    20.6 KB · Views: 934
  • Diagram of Cherenkov radiation geometry: a red arrow enters from the left and meets a wavefront, with blue arrows radiating outward from two parallel wavefront lines, a labelled angle θ, the expression c/n t, and βct along the base.
    Screenshot_20180305-124321.jpg
    27.4 KB · Views: 1,044
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Discussion

There is nothing contradictory. I believe you are confusing the angle of the cone with the angle of the wave front.
 
Ι assume that your question is why the 1st image shows a ring and the 2nd is supposed to create a disk?
If that's the question, then I guess the answer is because the particle transverses a finite length within the medium.
 

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