Chapter 32, Problem 4PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# (a) Two annihilation γ rays in a PET scan originate at the same point and travel to detectors on either side of the patient. If the point of origin is 9.00 cm closer to one of the detectors, what is the difference in arrival times of the photons? (This could be used to give position information, but the time difference is small enough to make it difficult.)(b) How accurately would you need to be able to measure arrival time differences to get a position resolution of 1.00 mm?

To determine

(a)

The difference in arrival times of the protons.

Explanation

Given info:

The distance from point of origin is

â€ƒâ€ƒx=9.00â€‰cm

Velocity of proton

â€ƒâ€ƒc=3Ã—108â€‰m/s

Formula used:

The relation between velocity and distance

â€ƒâ€ƒx=ct

â€ƒâ€ƒt=xc

Calculation:

Substituting the values

â€ƒâ€ƒt=9

To determine

(b)

The difference in arrival times of the protons.

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