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Chapter 36: Q. 48 (page 1060)

The Stanford Linear Accelerator (SLAC) accelerates electrons to v=0.99999997cin a 3.2kmlong tube. If they travel the length of the tube at full speed (they don’t, because they are accelerating), how long is the tube in the electrons’ reference frame?

Short Answer

Expert verified

1.92×10-3mis the tube in the electrons’ reference frame.

Step by step solution

01

Given Information 

We have found to how long is the tube in the electrons’ reference frame.

02

Simplify

The length of the electron is given as

l=l0×γ=32×11-0.99999997CC2=32×5.99999991×10-8=1.92×10-6km

Hence the distance seen by the electron will be1.92×10-6km=1.92×10-3m.

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