   Chapter 33, Problem 6PE

Chapter
Section
Textbook Problem

At full energy, protons in the 2.00−km−diameter Fermilab synchrotron travel at nearly the speed of light, since their energy is about 1000 times their rest mass energy.(a) How long does it take for a proton to complete one trip around?(b) How many times per second will it pass through the target area?

To determine

(a)

The time taken by proton to complete one trip around synchrotron travel in a fermi lab.

Explanation

Given:

At full energy protons in the 2 km diameter fermi lab synchrotron travel at nearly the speed

of light.

Formula used:

If r is the radius of tube in the synchrotron, then time taken for one trip, t=2πrc

Where, c speed of light

Calculation:

Diameter of the tube, d=2 km

Therefore, radius of the tube, r=1 km =1×103 m<

To determine

(b)

The number of trips per second made by the proton through the target area.

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